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1311401222334 = 23376156874023
BaseRepresentation
bin10011000101010101100…
…110101010000010111110
311122100221210202120001000
4103011111212222002332
5132441222203103314
62442241023231130
7163513513316550
oct23052546520276
94570853676030
101311401222334
11466186890295
121921a97484a6
13968841a0848
144768785b4d0
15241a4d1a209
hex131559aa0be

1311401222334 has 64 divisors (see below), whose sum is σ = 3385141908480. Its totient is φ = 368543662560.

The previous prime is 1311401222293. The next prime is 1311401222381. The reversal of 1311401222334 is 4332221041131.

1311401222334 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 401 + 2 + 223 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1311401222298 and 1311401222307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28413954 + ... + 28460069.

It is an arithmetic number, because the mean of its divisors is an integer number (52892842320).

Almost surely, 21311401222334 is an apocalyptic number.

1311401222334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1311401222334 is an abundant number, since it is smaller than the sum of its proper divisors (2073740686146).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311401222334 is a wasteful number, since it uses less digits than its factorization.

1311401222334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56874102 (or 56874096 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1311401222334 its reverse (4332221041131), we get a palindrome (5643622263465).

The spelling of 1311401222334 in words is "one trillion, three hundred eleven billion, four hundred one million, two hundred twenty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 61 63 122 126 183 189 366 378 427 549 854 1098 1281 1647 2562 3294 3843 7686 11529 23058 56874023 113748046 170622069 341244138 398118161 511866207 796236322 1023732414 1194354483 1535598621 2388708966 3071197242 3469315403 3583063449 6938630806 7166126898 10407946209 10749190347 20815892418 21498380694 24285207821 31223838627 48570415642 62447677254 72855623463 93671515881 145711246926 187343031762 218566870389 437133740778 655700611167 1311401222334