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313131332233401 = 311701118271144511
BaseRepresentation
bin100011100110010101001000…
…1110100110110100010111001
31112001201001200221012211102020
41013030222101310312202321
5312020320432022432101
63025550314222225053
7122645664215016303
oct10714522164664271
91461631627184366
10313131332233401
1190856285801a90
122b152b49725189
1310595208c77436
1457478ccc38973
1526303e7cb5136
hex11cca91d368b9

313131332233401 has 32 divisors (see below), whose sum is σ = 456152454291456. Its totient is φ = 189489653640000.

The previous prime is 313131332233367. The next prime is 313131332233469. The reversal of 313131332233401 is 104332233131313.

It is a happy number.

It is not a de Polignac number, because 313131332233401 - 218 = 313131331971257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (313131332234401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273021736 + ... + 274166246.

It is an arithmetic number, because the mean of its divisors is an integer number (14254764196608).

Almost surely, 2313131332233401 is an apocalyptic number.

It is an amenable number.

313131332233401 is a deficient number, since it is larger than the sum of its proper divisors (143021122058055).

313131332233401 is a wasteful number, since it uses less digits than its factorization.

313131332233401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157053.

The product of its (nonzero) digits is 34992, while the sum is 33.

Adding to 313131332233401 its reverse (104332233131313), we get a palindrome (417463565364714).

The spelling of 313131332233401 in words is "three hundred thirteen trillion, one hundred thirty-one billion, three hundred thirty-two million, two hundred thirty-three thousand, four hundred one".

Divisors: 1 3 11 33 701 2103 7711 11827 23133 35481 130097 390291 1144511 3433533 8290727 12589621 24872181 37768863 91197997 273593991 802302211 2406906633 8825324321 13536131597 26475972963 40608394791 148897447567 446692342701 9488828249497 28466484748491 104377110744467 313131332233401