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211200200031 = 34111833145109
BaseRepresentation
bin1100010010110010000…
…0110100110101011111
3202012010220102210112210
43010230200310311133
511430014222400111
6241005105131503
721154511036262
oct3045440646537
9665126383483
10211200200031
118162a009267
1234b22629b93
1316bba870b82
14a3177c6cd9
1557618ac0a6
hex312c834d5f

211200200031 has 16 divisors (see below), whose sum is σ = 288494932320. Its totient is φ = 137353428480.

The previous prime is 211200199967. The next prime is 211200200033. The reversal of 211200200031 is 130002002112.

211200200031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211200200031 - 26 = 211200199967 is a prime.

It is a super-2 number, since 2×2112002000312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211200200033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1382905 + ... + 1528013.

It is an arithmetic number, because the mean of its divisors is an integer number (18030933270).

Almost surely, 2211200200031 is an apocalyptic number.

211200200031 is a deficient number, since it is larger than the sum of its proper divisors (77294732289).

211200200031 is a wasteful number, since it uses less digits than its factorization.

211200200031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156986.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 211200200031 its reverse (130002002112), we get a palindrome (341202202143).

The spelling of 211200200031 in words is "two hundred eleven billion, two hundred million, two hundred thousand, thirty-one".

Divisors: 1 3 41 123 11833 35499 145109 435327 485153 1455459 5949469 17848407 1717074797 5151224391 70400066677 211200200031