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20202100011120 = 2435317639355457
BaseRepresentation
bin1001001011111101010101…
…11111101011000001110000
32122112022011002021210211210
410211332222333223001300
510121442400100323440
6110544414442440120
74153360604540166
oct445765277530160
978468132253753
1020202100011120
116489731874715
122323376503040
13b370856c5b31
144dbb031cd236
15250782875a80
hex125faafeb070

20202100011120 has 160 divisors (see below), whose sum is σ = 64655364648960. Its totient is φ = 5212748021760.

The previous prime is 20202100011109. The next prime is 20202100011127. The reversal of 20202100011120 is 2111000120202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20202100011096 and 20202100011105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20202100011127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56656432 + ... + 57011888.

It is an arithmetic number, because the mean of its divisors is an integer number (404096029056).

Almost surely, 220202100011120 is an apocalyptic number.

20202100011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20202100011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32327682324480).

20202100011120 is an abundant number, since it is smaller than the sum of its proper divisors (44453264637840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20202100011120 is a wasteful number, since it uses less digits than its factorization.

20202100011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363143 (or 363137 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20202100011120 its reverse (2111000120202), we get a palindrome (22313100131322).

The spelling of 20202100011120 in words is "twenty trillion, two hundred two billion, one hundred million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 7639 15278 22917 30556 38195 45834 61112 76390 91668 114585 122224 152780 183336 229170 236809 305560 355457 366672 458340 473618 611120 710427 710914 916680 947236 1066371 1184045 1420854 1421828 1777285 1833360 1894472 2132742 2368090 2841708 2843656 3552135 3554570 3788944 4265484 4736180 5331855 5683416 5687312 7104270 7109140 8530968 9472360 10663710 11019167 11366832 14208540 14218280 17061936 18944720 21327420 22038334 28417080 28436560 33057501 42654840 44076668 55095835 56834160 66115002 85309680 88153336 110191670 132230004 165287505 176306672 220383340 264460008 330575010 440766680 528920016 661150020 881533360 1322300040 2644600080 2715336023 5430672046 8146008069 10861344092 13576680115 16292016138 21722688184 27153360230 32584032276 40730040345 43445376368 54306720460 65168064552 81460080690 84175416713 108613440920 130336129104 162920161380 168350833426 217226881840 252526250139 325840322760 336701666852 420877083565 505052500278 651680645520 673403333704 841754167130 1010105000556 1262631250695 1346806667408 1683508334260 2020210001112 2525262501390 3367016668520 4040420002224 5050525002780 6734033337040 10101050005560 20202100011120