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21164270031 = 331965363179
BaseRepresentation
bin10011101101011111…
…010010000111001111
32000121222022022111000
4103231133102013033
5321321023120111
613420035431343
71346320220112
oct235537220717
960558268430
1021164270031
118a80751363
124127a55553
131cc396c008
14104ab94579
1583d099c56
hex4ed7d21cf

21164270031 has 32 divisors (see below), whose sum is σ = 33055776000. Its totient is φ = 13346226144.

The previous prime is 21164270021. The next prime is 21164270077. The reversal of 21164270031 is 13007246112.

21164270031 is a `hidden beast` number, since 2 + 11 + 642 + 7 + 0 + 0 + 3 + 1 = 666.

It is not a de Polignac number, because 21164270031 - 29 = 21164269519 is a prime.

It is a super-2 number, since 2×211642700312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21164269977 and 21164270004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21164270021) 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, 303400 + ... + 366578.

It is an arithmetic number, because the mean of its divisors is an integer number (1032993000).

Almost surely, 221164270031 is an apocalyptic number.

21164270031 is a deficient number, since it is larger than the sum of its proper divisors (11891505969).

21164270031 is a wasteful number, since it uses less digits than its factorization.

21164270031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63860 (or 63854 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 21164270031 in words is "twenty-one billion, one hundred sixty-four million, two hundred seventy thousand, thirty-one".

Divisors: 1 3 9 19 27 57 171 513 653 1959 5877 12407 17631 37221 63179 111663 189537 334989 568611 1200401 1705833 3601203 10803609 32410827 41255887 123767661 371302983 783861853 1113908949 2351585559 7054756677 21164270031