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1221000231 = 311217241821
BaseRepresentation
bin100100011000110…
…1111110000100111
310011002112020102210
41020301233300213
510000034001411
6321054134503
742154221303
oct11061576047
93132466383
101221000231
1157724a600
122a0ab1433
13165c67c59
14b8238d03
15722d7ca6
hex48c6fc27

1221000231 has 48 divisors (see below), whose sum is σ = 1904896224. Its totient is φ = 692736000.

The previous prime is 1221000229. The next prime is 1221000247. The reversal of 1221000231 is 1320001221.

It is not a de Polignac number, because 1221000231 - 21 = 1221000229 is a prime.

It is a super-2 number, since 2×12210002312 = 2981683128204106722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221000251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1486801 + ... + 1487621.

It is an arithmetic number, because the mean of its divisors is an integer number (39685338).

Almost surely, 21221000231 is an apocalyptic number.

1221000231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1221000231 is a deficient number, since it is larger than the sum of its proper divisors (683895993).

1221000231 is a wasteful number, since it uses less digits than its factorization.

1221000231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1093 counting only the distinct ones).

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

The square root of 1221000231 is about 34942.8137247131. The cubic root of 1221000231 is about 1068.8216658348.

Adding to 1221000231 its reverse (1320001221), we get a palindrome (2541001452).

The spelling of 1221000231 in words is "one billion, two hundred twenty-one million, two hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 11 17 33 51 121 187 241 363 561 723 821 2057 2463 2651 4097 6171 7953 9031 12291 13957 27093 29161 41871 45067 87483 99341 135201 153527 197861 298023 460581 495737 593583 1487211 1688797 2176471 3363637 5066391 6529413 10090911 23941181 37000007 71823543 111000021 407000077 1221000231