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102210122120022 = 23271317161589207
BaseRepresentation
bin10111001111010110100110…
…000001010111101101010110
3111101220012012011000001001100
4113033112212001113231112
5101344102312230320042
61001214403142010530
730346303052200320
oct2717264601275526
9441805164001040
10102210122120022
112a627084362804
12b56900b116a46
1345054b0aa37c7
141b34dd3c14610
15bc3abe6a324c
hex5cf5a6057b56

102210122120022 has 48 divisors (see below), whose sum is σ = 253110950906112. Its totient is φ = 29200674348720.

The previous prime is 102210122120021. The next prime is 102210122120063. The reversal of 102210122120022 is 220021221012201.

It is a happy number.

102210122120022 is a `hidden beast` number, since 1 + 0 + 221 + 0 + 1 + 221 + 200 + 22 = 666.

It is a super-3 number, since 3×1022101221200223 (a number of 43 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 102210122119977 and 102210122120004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210122120021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29135058 + ... + 32454149.

It is an arithmetic number, because the mean of its divisors is an integer number (5273144810544).

Almost surely, 2102210122120022 is an apocalyptic number.

102210122120022 is an abundant number, since it is smaller than the sum of its proper divisors (150900828786090).

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

102210122120022 is a wasteful number, since it uses less digits than its factorization.

102210122120022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61602393 (or 61602390 counting only the distinct ones).

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

Adding to 102210122120022 its reverse (220021221012201), we get a palindrome (322231343132223).

The spelling of 102210122120022 in words is "one hundred two trillion, two hundred ten billion, one hundred twenty-two million, one hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 13171 26342 39513 79026 92197 118539 184394 237078 276591 553182 829773 1659546 61589207 123178414 184767621 369535242 431124449 554302863 862248898 1108605726 1293373347 2586746694 3880120041 7760240082 811191445397 1622382890794 2433574336191 4867148672382 5678340117779 7300723008573 11356680235558 14601446017146 17035020353337 34070040706674 51105061060011 102210122120022