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100231211202020 = 22553283333377249
BaseRepresentation
bin10110110010100011100101…
…101111010011010111100100
3111010220000021102222112222022
4112302203211233103113210
5101114142010031431040
6553101325513122312
730053315565010313
oct2662434557232744
9433800242875868
10100231211202020
1129a338aa779408
12b2a95919b9398
1343c09bb7443a2
141aa730614627a
15b8c39cd6c6b5
hex5b28e5bd35e4

100231211202020 has 48 divisors (see below), whose sum is σ = 214532674902000. Its totient is φ = 39322136395776.

The previous prime is 100231211201963. The next prime is 100231211202029. The reversal of 100231211202020 is 20202112132001.

It can be written as a sum of positive squares in 8 ways, for example, as 284524094464 + 99946687107556 = 533408^2 + 9997334^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100231211202020.

It is not an unprimeable number, because it can be changed into a prime (100231211202029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13685645 + ... + 19691604.

It is an arithmetic number, because the mean of its divisors is an integer number (4469430727125).

Almost surely, 2100231211202020 is an apocalyptic number.

100231211202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100231211202020 is an abundant number, since it is smaller than the sum of its proper divisors (114301463699980).

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

100231211202020 is a wasteful number, since it uses less digits than its factorization.

100231211202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33380144 (or 33380142 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 100231211202020 its reverse (20202112132001), we get a palindrome (120433323334021).

The spelling of 100231211202020 in words is "one hundred trillion, two hundred thirty-one billion, two hundred eleven million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 2833 5666 11332 14165 28330 56660 150149 300298 600596 750745 1501490 3002980 33377249 66754498 133508996 166886245 333772490 667544980 1768994197 3537988394 7075976788 8844970985 17689941970 35379883940 94557746417 189115492834 378230985668 472788732085 945577464170 1891154928340 5011560560101 10023121120202 20046242240404 25057802800505 50115605601010 100231211202020