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102220022124 = 223211232677283
BaseRepresentation
bin101111100110011001…
…0011100000101101100
3100202211220000011002100
41133030302130011230
53133321311201444
6114543105455100
710246051565133
oct1371462340554
9322756004070
10102220022124
113a3955a0630
1217989341490
1398407315bc
144d39c3091a
1529d40ade69
hex17ccc9c16c

102220022124 has 216 divisors, whose sum is σ = 299107029312. Its totient is φ = 29182760640.

The previous prime is 102220022123. The next prime is 102220022167. The reversal of 102220022124 is 421220022201.

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 = 102220022097 and 102220022106.

It is not an unprimeable number, because it can be changed into a prime (102220022123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14031787 + ... + 14039069.

Almost surely, 2102220022124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102220022124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149553514656).

102220022124 is an abundant number, since it is smaller than the sum of its proper divisors (196887007188).

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

102220022124 is a wasteful number, since it uses less digits than its factorization.

102220022124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7417 (or 7389 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102220022124 its reverse (421220022201), we get a palindrome (523440044325).

The spelling of 102220022124 in words is "one hundred two billion, two hundred twenty million, twenty-two thousand, one hundred twenty-four".