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211021022002100 = 225211625718151253
BaseRepresentation
bin101111111110110000101001…
…000011100111101110110100
31000200011102010211220002110012
4233332300221003213232310
5210124332023113031400
62024445415203315352
762306523433544042
oct5776605103475664
91020142124802405
10211021022002100
1161268570682612
121b80135537bb58
139099273a2c51b
143a176870b9392
15195e21b08ed35
hexbfec290e7bb4

211021022002100 has 36 divisors (see below), whose sum is σ = 457919581794444. Its totient is φ = 84407678100480.

The previous prime is 211021022002079. The next prime is 211021022002111. The reversal of 211021022002100 is 1200220120112.

It can be written as a sum of positive squares in 6 ways, for example, as 492413765284 + 210528608236816 = 701722^2 + 14509604^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2550074 + ... + 20701326.

It is an arithmetic number, because the mean of its divisors is an integer number (12719988383179).

Almost surely, 2211021022002100 is an apocalyptic number.

211021022002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211021022002100 is an abundant number, since it is smaller than the sum of its proper divisors (246898559792344).

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

211021022002100 is a wasteful number, since it uses less digits than its factorization.

211021022002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18267524 (or 18267517 counting only the distinct ones).

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

Adding to 211021022002100 its reverse (1200220120112), we get a palindrome (212221242122212).

The spelling of 211021022002100 in words is "two hundred eleven trillion, twenty-one billion, twenty-two million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 116257 232514 465028 581285 1162570 2325140 2906425 5812850 11625700 18151253 36302506 72605012 90756265 181512530 363025060 453781325 907562650 1815125300 2110210220021 4220420440042 8440840880084 10551051100105 21102102200210 42204204400420 52755255500525 105510511001050 211021022002100