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102102220012212 = 22337223605631599
BaseRepresentation
bin10111001101110010000110…
…100011011111101010110100
3111101111212200021011000202000
4113031302012203133222310
5101340320321310342322
61001053040133215300
730335433123334530
oct2715620643375264
9441455607130660
10102102220012212
112a5953434410a2
12b550116a91530
1344c8276107234
141b2dab94ccbc0
15bc0da68583ac
hex5cdc868dfab4

102102220012212 has 96 divisors (see below), whose sum is σ = 303881711616000. Its totient is φ = 29041246387296.

The previous prime is 102102220012211. The next prime is 102102220012237. The reversal of 102102220012212 is 212210022201201.

It is a happy number.

102102220012212 is a `hidden beast` number, since 10 + 210 + 2 + 220 + 0 + 1 + 221 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102220012211) 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, 302647212 + ... + 302984387.

It is an arithmetic number, because the mean of its divisors is an integer number (3165434496000).

Almost surely, 2102102220012212 is an apocalyptic number.

102102220012212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102102220012212 is an abundant number, since it is smaller than the sum of its proper divisors (201779491603788).

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

102102220012212 is a wasteful number, since it uses less digits than its factorization.

102102220012212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605631842 (or 605631834 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102102220012212 its reverse (212210022201201), we get a palindrome (314312242213413).

The spelling of 102102220012212 in words is "one hundred two trillion, one hundred two billion, two hundred twenty million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 223 252 378 446 669 756 892 1338 1561 2007 2676 3122 4014 4683 6021 6244 8028 9366 12042 14049 18732 24084 28098 42147 56196 84294 168588 605631599 1211263198 1816894797 2422526396 3633789594 4239421193 5450684391 7267579188 8478842386 10901368782 12718263579 16352053173 16957684772 21802737564 25436527158 32704106346 38154790737 50873054316 65408212692 76309581474 114464372211 135055846577 152619162948 228928744422 270111693154 405167539731 457857488844 540223386308 810335079462 945390926039 1215502619193 1620670158924 1890781852078 2431005238386 2836172778117 3646507857579 3781563704156 4862010476772 5672345556234 7293015715158 8508518334351 11344691112468 14586031430316 17017036668702 25525555003053 34034073337404 51051110006106 102102220012212