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31210001213 = 4783101113701
BaseRepresentation
bin11101000100010000…
…101101001100111101
32222120002010022222212
4131010100231030331
51002404230014323
622200534350205
72153261430116
oct350420551475
988502108885
1031210001213
1112266260936
1260701bb365
132c34c7b851
14172101d20d
15c29e8cb78
hex74442d33d

31210001213 has 32 divisors (see below), whose sum is σ = 32912635392. Its totient is φ = 29572480000.

The previous prime is 31210001209. The next prime is 31210001257.

31210001213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31210001213 - 22 = 31210001209 is a prime.

It is a super-2 number, since 2×312100012132 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31210001413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44521763 + ... + 44522463.

It is an arithmetic number, because the mean of its divisors is an integer number (1028519856).

Almost surely, 231210001213 is an apocalyptic number.

It is an amenable number.

31210001213 is a deficient number, since it is larger than the sum of its proper divisors (1702634179).

31210001213 is a wasteful number, since it uses less digits than its factorization.

31210001213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045.

The product of its (nonzero) digits is 36, while the sum is 14.

It can be divided in two parts, 3121000 and 1213, that added together give a palindrome (3122213).

The spelling of 31210001213 in words is "thirty-one billion, two hundred ten million, one thousand, two hundred thirteen".

Divisors: 1 47 83 101 113 701 3901 4747 5311 8383 9379 11413 32947 58183 70801 79213 394001 440813 536411 947279 2734601 3327647 3723011 5876483 6574679 8000513 44522113 276194701 309009913 376024111 664042579 31210001213