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102200012212002 = 23192964494793533
BaseRepresentation
bin10111001111001101001011…
…011011001000011100100010
3111101212020002120102111110120
4113033031023123020130202
5101343421111111241002
61001210012031341110
730345464401325655
oct2717151333103442
9441766076374416
10102200012212002
112a6228665aa221
12b567069381796
13450455c3b3b03
141b3471524189c
15bc36cbd34cbc
hex5cf34b6c8722

102200012212002 has 64 divisors (see below), whose sum is σ = 222611718960000. Its totient is φ = 31155963890688.

The previous prime is 102200012211953. The next prime is 102200012212007. The reversal of 102200012212002 is 200212210002201.

It is a super-2 number, since 2×1022000122120022 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102200012212007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18923628 + ... + 23717160.

It is an arithmetic number, because the mean of its divisors is an integer number (3478308108750).

Almost surely, 2102200012212002 is an apocalyptic number.

102200012212002 is an abundant number, since it is smaller than the sum of its proper divisors (120411706747998).

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

102200012212002 is a wasteful number, since it uses less digits than its factorization.

102200012212002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4800035.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102200012212002 its reverse (200212210002201), we get a palindrome (302412222214203).

The spelling of 102200012212002 in words is "one hundred two trillion, two hundred billion, twelve million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 19 29 38 57 58 87 114 174 551 1102 1653 3306 6449 12898 19347 38694 122531 187021 245062 367593 374042 561063 735186 1122126 3553399 4793533 7106798 9587066 10660197 14380599 21320394 28761198 91077127 139012457 182154254 273231381 278024914 417037371 546462762 834074742 2641236683 5282473366 7923710049 15847420098 30913494317 61826988634 92740482951 185480965902 587356392023 896491335193 1174712784046 1762069176069 1792982670386 2689474005579 3524138352138 5378948011158 17033335368667 34066670737334 51100006106001 102200012212002