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20210113211300 = 225217149622912809
BaseRepresentation
bin1001001100001100010001…
…00111100110101110100100
32122120001211112112112222122
410212012020213212232210
510122110302440230200
6110552221533245112
74154063305605635
oct446061047465644
978501745475878
1020210113211300
116492074038601
122324a32033798
13b37a618ab2bc
144dc26353188c
15250aa10cc385
hex1261889e6ba4

20210113211300 has 144 divisors (see below), whose sum is σ = 46758511170000. Its totient is φ = 7555646177280.

The previous prime is 20210113211293. The next prime is 20210113211341. The reversal of 20210113211300 is 311231101202.

It can be written as a sum of positive squares in 24 ways, for example, as 15878694796864 + 4331418414436 = 3984808^2 + 2081206^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1577799296 + ... + 1577812104.

It is an arithmetic number, because the mean of its divisors is an integer number (324711883125).

Almost surely, 220210113211300 is an apocalyptic number.

20210113211300 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 20210113211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23379255585000).

20210113211300 is an abundant number, since it is smaller than the sum of its proper divisors (26548397958700).

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

20210113211300 is a wasteful number, since it uses less digits than its factorization.

20210113211300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19218 (or 19211 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 20210113211300 its reverse (311231101202), we get a palindrome (20521344312502).

The spelling of 20210113211300 in words is "twenty trillion, two hundred ten billion, one hundred thirteen million, two hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 149 170 298 340 425 596 745 850 1490 1700 2533 2980 3725 5066 6229 7450 10132 12458 12665 12809 14900 24916 25330 25618 31145 50660 51236 62290 63325 64045 105893 124580 126650 128090 155725 211786 217753 253300 256180 311450 320225 423572 435506 529465 622900 640450 871012 928121 1058930 1088765 1280900 1856242 1908541 2117860 2177530 2647325 3712484 3817082 4355060 4640605 5294650 5443825 7634164 9281210 9542705 10589300 10887650 15778057 18562420 19085410 21775300 23203025 31556114 32445197 38170820 46406050 47713525 63112228 64890394 78890285 79787261 92812100 95427050 129780788 157780570 159574522 162225985 190854100 315561140 319149044 324451970 394451425 398936305 648903940 788902850 797872610 811129925 1356383437 1577805700 1595745220 1622259850 1994681525 2712766874 3244519700 3989363050 5425533748 6781917185 7978726100 11888301889 13563834370 23776603778 27127668740 33909585925 47553207556 59441509445 67819171850 118883018890 135638343700 202101132113 237766037780 297207547225 404202264226 594415094450 808404528452 1010505660565 1188830188900 2021011321130 4042022642260 5052528302825 10105056605650 20210113211300