Search a number
-
+
20021202011120 = 2451771285172727
BaseRepresentation
bin1001000110101100011001…
…01000100100001111110000
32121220000012222210021011212
410203112030220210033300
510111011410203323440
6110325340242455252
74134325023111242
oct443261450441760
977800188707155
1020021202011120
116419a42646882
1222b42b0064528
13b22cb6a0834b
144d3062038092
1524abe63d8465
hex12358ca243f0

20021202011120 has 160 divisors (see below), whose sum is σ = 49999897230336. Its totient is φ = 7428524544000.

The previous prime is 20021202011119. The next prime is 20021202011201. The reversal of 20021202011120 is 2111020212002.

It is a junction number, because it is equal to n+sod(n) for n = 20021202011095 and 20021202011104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275256197 + ... + 275328923.

Almost surely, 220021202011120 is an apocalyptic number.

20021202011120 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 20021202011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24999948615168).

20021202011120 is an abundant number, since it is smaller than the sum of its proper divisors (29978695219216).

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

20021202011120 is a wasteful number, since it uses less digits than its factorization.

20021202011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75679 (or 75673 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20021202011120 its reverse (2111020212002), we get a palindrome (22132222223122).

The spelling of 20021202011120 in words is "twenty trillion, twenty-one billion, two hundred two million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 71 80 85 136 142 170 272 284 340 355 568 680 710 1136 1207 1360 1420 2414 2840 2851 4828 5680 5702 6035 9656 11404 12070 14255 19312 22808 24140 28510 45616 48280 48467 57020 72727 96560 96934 114040 145454 193868 202421 228080 242335 290908 363635 387736 404842 484670 581816 727270 775472 809684 969340 1012105 1163632 1236359 1454540 1619368 1938680 2024210 2472718 2909080 3238736 3441157 3877360 4048420 4945436 5163617 5818160 6181795 6882314 8096840 9890872 10327234 12363590 13764628 16193680 17205785 19781744 20654468 24727180 25818085 27529256 34411570 41308936 49454360 51636170 55058512 68823140 82617872 87781489 98908720 103272340 137646280 175562978 206544680 207344677 275292560 351125956 413089360 414689354 438907445 702251912 829378708 877814890 1036723385 1404503824 1658757416 1755629780 2073446770 3317514832 3511259560 3524859509 4146893540 7022519120 7049719018 8293787080 14099438036 14721472067 16587574160 17624297545 28198876072 29442944134 35248595090 56397752144 58885888268 70497190180 73607360335 117771776536 140994380360 147214720670 235543553072 250265025139 281988760720 294429441340 500530050278 588858882680 1001060100556 1177717765360 1251325125695 2002120201112 2502650251390 4004240402224 5005300502780 10010601005560 20021202011120