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102211123020 = 223541173240169
BaseRepresentation
bin101111100110001000…
…0011111011101001100
3100202211021021000210220
41133030100133131030
53133312021414040
6114542151031340
710245613132206
oct1371420373514
9322737230726
10102211123020
113a3905725a6
121798636b550
13983b936b66
144d38995776
1529d34022d0
hex17cc41f74c

102211123020 has 96 divisors (see below), whose sum is σ = 294867276480. Its totient is φ = 26437693440.

The previous prime is 102211123013. The next prime is 102211123039. The reversal of 102211123020 is 20321112201.

It is a super-2 number, since 2×1022111230202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305496 + ... + 545664.

It is an arithmetic number, because the mean of its divisors is an integer number (3071534130).

Almost surely, 2102211123020 is an apocalyptic number.

102211123020 is a gapful number since it is divisible by the number (10) 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 102211123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147433638240).

102211123020 is an abundant number, since it is smaller than the sum of its proper divisors (192656153460).

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

102211123020 is a wasteful number, since it uses less digits than its factorization.

102211123020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240395 (or 240393 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102211123020 its reverse (20321112201), we get a palindrome (122532235221).

The spelling of 102211123020 in words is "one hundred two billion, two hundred eleven million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 173 205 246 346 410 492 519 615 692 820 865 1038 1230 1730 2076 2460 2595 3460 5190 7093 10380 14186 21279 28372 35465 42558 70930 85116 106395 141860 212790 240169 425580 480338 720507 960676 1200845 1441014 2401690 2882028 3602535 4803380 7205070 9846929 14410140 19693858 29540787 39387716 41549237 49234645 59081574 83098474 98469290 118163148 124647711 147703935 166196948 196938580 207746185 249295422 295407870 415492370 498590844 590815740 623238555 830984740 1246477110 1703518717 2492954220 3407037434 5110556151 6814074868 8517593585 10221112302 17035187170 20442224604 25552780755 34070374340 51105561510 102211123020