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2021218200131 = 131731295025281
BaseRepresentation
bin11101011010011001111…
…111100010101001000011
321011020010011122002122012
4131122121333202221003
5231103423324401011
64144311304403135
7266012446141604
oct35323177425103
97136104562565
102021218200131
1170a214a87679
12287885a764ab
131187a5436590
146db82881dab
153789ab7ba8b
hex1d699fe2a43

2021218200131 has 16 divisors (see below), whose sum is σ = 2379083874048. Its totient is φ = 1699345612800.

The previous prime is 2021218200107. The next prime is 2021218200137. The reversal of 2021218200131 is 1310028121202.

It is a cyclic number.

It is not a de Polignac number, because 2021218200131 - 222 = 2021214005827 is a prime.

It is a super-2 number, since 2×20212182001312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2021218200097 and 2021218200106.

It is not an unprimeable number, because it can be changed into a prime (2021218200137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147505790 + ... + 147519491.

It is an arithmetic number, because the mean of its divisors is an integer number (148692742128).

Almost surely, 22021218200131 is an apocalyptic number.

2021218200131 is a deficient number, since it is larger than the sum of its proper divisors (357865673917).

2021218200131 is a wasteful number, since it uses less digits than its factorization.

2021218200131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295025342.

The product of its (nonzero) digits is 384, while the sum is 23.

The spelling of 2021218200131 in words is "two trillion, twenty-one billion, two hundred eighteen million, two hundred thousand, one hundred thirty-one".

Divisors: 1 13 17 31 221 403 527 6851 295025281 3835328653 5015429777 9145783711 65200587101 118895188243 155478323087 2021218200131