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210013232320100 = 225211261284532221
BaseRepresentation
bin101111110000000110000100…
…000111000100111001100100
31000112121001212020210211010102
4233300012010013010321210
5210011324044433220400
62022354425205043232
762143645450564616
oct5760060407047144
91015531766724112
10210013232320100
1160a0a12567a300
121b679b7a6b6518
13902521697b3c1
1439c09a22b4db6
151942dd5a249d5
hexbf01841c4e64

210013232320100 has 108 divisors (see below), whose sum is σ = 509136836466804. Its totient is φ = 75116506080000.

The previous prime is 210013232320081. The next prime is 210013232320183. The reversal of 210013232320100 is 1023232310012.

It can be written as a sum of positive squares in 6 ways, for example, as 98135057066596 + 111878175253504 = 9906314^2 + 10577248^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 141528011 + ... + 143004210.

Almost surely, 2210013232320100 is an apocalyptic number.

210013232320100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210013232320100 is an abundant number, since it is smaller than the sum of its proper divisors (299123604146704).

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

210013232320100 is a wasteful number, since it uses less digits than its factorization.

210013232320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284532318 (or 284532300 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 210013232320100 its reverse (1023232310012), we get a palindrome (211036464630112).

The spelling of 210013232320100 in words is "two hundred ten trillion, thirteen billion, two hundred thirty-two million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 61 100 110 121 122 220 242 244 275 305 484 550 605 610 671 1100 1210 1220 1342 1525 2420 2684 3025 3050 3355 6050 6100 6710 7381 12100 13420 14762 16775 29524 33550 36905 67100 73810 147620 184525 369050 738100 284532221 569064442 1138128884 1422661105 2845322210 3129854431 5690644420 6259708862 7113305525 12519417724 14226611050 15649272155 17356465481 28453222100 31298544310 34428398741 34712930962 62597088620 68856797482 69425861924 78246360775 86782327405 137713594964 156492721550 172141993705 173564654810 190921120291 312985443100 344283987410 347129309620 381842240582 433911637025 688567974820 763684481164 860709968525 867823274050 954605601455 1721419937050 1735646548100 1909211202910 2100132323201 3442839874100 3818422405820 4200264646402 4773028007275 8400529292804 9546056014550 10500661616005 19092112029100 21001323232010 42002646464020 52503308080025 105006616160050 210013232320100