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102223032222132 = 22322839528672837
BaseRepresentation
bin10111001111100010100111…
…100001100000000110110100
3111101221102111212122011210100
4113033202213201200012310
5101344310232222102012
61001224340202154100
730350241014226063
oct2717424741400664
9441842455564710
10102223032222132
112a6315a9816588
12b56b6127b2930
13450678a65ab93
141b3589a65c1da
15bc40c7c988dc
hex5cf8a78601b4

102223032222132 has 18 divisors (see below), whose sum is σ = 258397109228258. Its totient is φ = 34074344074032.

The previous prime is 102223032222127. The next prime is 102223032222151. The reversal of 102223032222132 is 231222230322201.

102223032222132 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 2 + 303 + 2 + 222 + 132 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62499080564496 + 39723951657636 = 7905636^2 + 6302694^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×1022230322221323 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102223032222096 and 102223032222105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1419764336383 + ... + 1419764336454.

Almost surely, 2102223032222132 is an apocalyptic number.

102223032222132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102223032222132 is an abundant number, since it is smaller than the sum of its proper divisors (156174077006126).

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

102223032222132 is a wasteful number, since it uses less digits than its factorization.

102223032222132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839528672847 (or 2839528672842 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 102223032222132 its reverse (231222230322201), we get a palindrome (333445262544333).

The spelling of 102223032222132 in words is "one hundred two trillion, two hundred twenty-three billion, thirty-two million, two hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2839528672837 5679057345674 8518586018511 11358114691348 17037172037022 25555758055533 34074344074044 51111516111066 102223032222132