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1311143010112 = 261319229362191
BaseRepresentation
bin10011000101000110001…
…101101001111101000000
311122100021210220000110101
4103011012031221331000
5132440210102310422
62442155241012144
7163504226462335
oct23050615517500
94570253800411
101311143010112
11466064058661
12192137184054
1396842844250
144766144498c
152418c312c27
hex13146369f40

1311143010112 has 112 divisors (see below), whose sum is σ = 2962295929600. Its totient is φ = 570788259840.

The previous prime is 1311143010103. The next prime is 1311143010139. The reversal of 1311143010112 is 2110103411131.

It is a super-2 number, since 2×13111430101122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 1311143010112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3438937 + ... + 3801127.

It is an arithmetic number, because the mean of its divisors is an integer number (26449070800).

Almost surely, 21311143010112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311143010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481147964800).

1311143010112 is an abundant number, since it is smaller than the sum of its proper divisors (1651152919488).

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

1311143010112 is a wasteful number, since it uses less digits than its factorization.

1311143010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362464 (or 362454 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 1311143010112 its reverse (2110103411131), we get a palindrome (3421246421243).

The spelling of 1311143010112 in words is "one trillion, three hundred eleven billion, one hundred forty-three million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 152 208 229 247 304 416 458 494 608 832 916 988 1216 1832 1976 2977 3664 3952 4351 5954 7328 7904 8702 11908 14656 15808 17404 23816 34808 47632 56563 69616 95264 113126 139232 190528 226252 278464 362191 452504 724382 905008 1448764 1810016 2897528 3620032 4708483 5795056 6881629 9416966 11590112 13763258 18833932 23180224 27526516 37667864 55053032 75335728 82941739 89461177 110106064 150671456 165883478 178922354 220212128 301342912 331766956 357844708 440424256 663533912 715689416 1078242607 1327067824 1431378832 1575893041 2156485214 2654135648 2862757664 3151786082 4312970428 5308271296 5725515328 6303572164 8625940856 12607144328 17251881712 20486609533 25214288656 34503763424 40973219066 50428577312 69007526848 81946438132 100857154624 163892876264 327785752528 655571505056 1311143010112