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231311940601 = 7212725412
BaseRepresentation
bin1101011101101101000…
…1000001101111111001
3211010001112020002001011
43113123101001233321
512242211324044401
6254132505353521
722466061024400
oct3273321015771
9733045202034
10231311940601
118a10a618665
12389b5a988a1
1318a74440191
14b2a4878637
15603c34b451
hex35db441bf9

231311940601 has 27 divisors (see below), whose sum is σ = 271714799727. Its totient is φ = 196342619760.

The previous prime is 231311940599. The next prime is 231311940611. The reversal of 231311940601 is 106049113132.

The square root of 231311940601 is 480949.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 91899316201 + 139412624400 = 303149^2 + 373380^2 .

It is not a de Polignac number, because 231311940601 - 21 = 231311940599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (231311940611) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 427563391 + ... + 427563931.

It is an arithmetic number, because the mean of its divisors is an integer number (10063511101).

Almost surely, 2231311940601 is an apocalyptic number.

231311940601 is the 480949-th square number.

231311940601 is the 240475-th centered octagonal number.

It is an amenable number.

231311940601 is a deficient number, since it is larger than the sum of its proper divisors (40402859126).

231311940601 is an frugal number, since it uses more digits than its factorization.

231311940601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 231311940601 in words is "two hundred thirty-one billion, three hundred eleven million, nine hundred forty thousand, six hundred one".

Divisors: 1 7 49 127 541 889 3787 6223 16129 26509 68707 112903 292681 480949 790321 2048767 3366643 8725789 14341369 37170487 61080523 260193409 427563661 1821353863 4720651849 33044562943 231311940601