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31200322300213 = 1119258143578299
BaseRepresentation
bin1110001100000011001000…
…01000001010100100110101
311002110201111002212102020111
413012001210020022210311
513042141230002101323
6150205121415503021
76400102033531063
oct706014410124465
9132421432772214
1031200322300213
119a39a89603060
1235ba9b8987a71
131454240732131
1479c164611033
153918d2e2ac0d
hex1c606420a935

31200322300213 has 16 divisors (see below), whose sum is σ = 35828322048000. Its totient is φ = 26870940416880.

The previous prime is 31200322300157. The next prime is 31200322300223.

31200322300213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31200322300213 - 221 = 31200320203061 is a prime.

It is a super-2 number, since 2×312003223002132 (a number of 28 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 (31200322300223) 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 15 ways as a sum of consecutive naturals, for example, 53662738 + ... + 54241036.

It is an arithmetic number, because the mean of its divisors is an integer number (2239270128000).

Almost surely, 231200322300213 is an apocalyptic number.

It is an amenable number.

31200322300213 is a deficient number, since it is larger than the sum of its proper divisors (4627999747787).

31200322300213 is a wasteful number, since it uses less digits than its factorization.

31200322300213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836472.

The product of its (nonzero) digits is 1296, while the sum is 22.

It can be divided in two parts, 3120032 and 2300213, that added together give a palindrome (5420245).

The spelling of 31200322300213 in words is "thirty-one trillion, two hundred billion, three hundred twenty-two million, three hundred thousand, two hundred thirteen".

Divisors: 1 11 19 209 258143 578299 2839573 4904717 6361289 10987681 53951887 120864491 149283838757 1642122226327 2836392936383 31200322300213