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102220220021000 = 2353113904603717
BaseRepresentation
bin10111001111011111111111…
…111001110011100100001000
3111101221011020212222120001212
4113033133333321303210020
5101344234002311133000
61001223153143032252
730350111226013004
oct2717377771634410
9441834225876055
10102220220021000
112a630396365214
12b56ab68a3b688
13450642cb4b243
141b356b0d7d704
15bc3eb0e4dc35
hex5cf7ffe73908

102220220021000 has 64 divisors (see below), whose sum is σ = 241312087813680. Its totient is φ = 40526246476800.

The previous prime is 102220220020921. The next prime is 102220220021039. The reversal of 102220220021000 is 120022022201.

It can be written as a sum of positive squares in 8 ways, for example, as 24228466306564 + 77991753714436 = 4922242^2 + 8831294^2 .

It is a super-2 number, since 2×1022202200210002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452188859 + ... + 452414858.

Almost surely, 2102220220021000 is an apocalyptic number.

102220220021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220220021000 is an abundant number, since it is smaller than the sum of its proper divisors (139091867792680).

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

102220220021000 is a wasteful number, since it uses less digits than its factorization.

102220220021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904603851 (or 904603837 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102220220021000 its reverse (120022022201), we get a palindrome (102340242043201).

The spelling of 102220220021000 in words is "one hundred two trillion, two hundred twenty billion, two hundred twenty million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 125 200 226 250 452 500 565 904 1000 1130 2260 2825 4520 5650 11300 14125 22600 28250 56500 113000 904603717 1809207434 3618414868 4523018585 7236829736 9046037170 18092074340 22615092925 36184148680 45230185850 90460371700 102220220021 113075464625 180920743400 204440440042 226150929250 408880880084 452301858500 511101100105 817761760168 904603717000 1022202200210 2044404400420 2555505500525 4088808800840 5111011001050 10222022002100 12777527502625 20444044004200 25555055005250 51110110010500 102220220021000