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150213131406 = 23213696192219
BaseRepresentation
bin1000101111100101100…
…1100111110010001110
3112100201121111201012100
42023321121213302032
54430114030201111
6153001300415530
713565264356422
oct2137131476216
9470647451170
10150213131406
115878343aa08
12251420a75a6
131121b783710
1473adbd0b82
153d9267e756
hex22f9667c8e

150213131406 has 48 divisors (see below), whose sum is σ = 350551459440. Its totient is φ = 46212284160.

The previous prime is 150213131371. The next prime is 150213131429. The reversal of 150213131406 is 604131312051.

It is a happy number.

150213131406 is a `hidden beast` number, since 1 + 502 + 1 + 3 + 13 + 140 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 150213131406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1582765 + ... + 1674983.

It is an arithmetic number, because the mean of its divisors is an integer number (7303155405).

Almost surely, 2150213131406 is an apocalyptic number.

150213131406 is an abundant number, since it is smaller than the sum of its proper divisors (200338328034).

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

150213131406 is a wasteful number, since it uses less digits than its factorization.

150213131406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99201 (or 99198 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 150213131406 its reverse (604131312051), we get a palindrome (754344443457).

The spelling of 150213131406 in words is "one hundred fifty billion, two hundred thirteen million, one hundred thirty-one thousand, four hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 6961 13922 20883 41766 62649 90493 92219 125298 180986 184438 271479 276657 542958 553314 814437 829971 1198847 1628874 1659942 2397694 3596541 7193082 10789623 21579246 641936459 1283872918 1925809377 3851618754 5777428131 8345173967 11554856262 16690347934 25035521901 50071043802 75106565703 150213131406