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11312001012 = 22313676071783
BaseRepresentation
bin10101000100011111…
…10110111111110100
31002012100112012011110
422202033312333310
5141131333013022
65110251235020
7550215264534
oct124217667764
932170465143
1011312001012
114885369874
122238448a70
1310b3767a30
147944c94c4
1546316e00c
hex2a23f6ff4

11312001012 has 96 divisors (see below), whose sum is σ = 28913016832. Its totient is φ = 3421097856.

The previous prime is 11312001007. The next prime is 11312001037. The reversal of 11312001012 is 21010021311.

It is a super-2 number, since 2×113120010122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 6343473 + ... + 6345255.

Almost surely, 211312001012 is an apocalyptic number.

11312001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11312001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14456508416).

11312001012 is an abundant number, since it is smaller than the sum of its proper divisors (17601015820).

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

11312001012 is a wasteful number, since it uses less digits than its factorization.

11312001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477 (or 2475 counting only the distinct ones).

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

Adding to 11312001012 its reverse (21010021311), we get a palindrome (32322022323).

The spelling of 11312001012 in words is "eleven billion, three hundred twelve million, one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 67 78 134 156 201 268 402 607 804 871 1214 1742 1783 1821 2428 2613 3484 3566 3642 5226 5349 7132 7284 7891 10452 10698 15782 21396 23179 23673 31564 40669 46358 47346 69537 81338 92716 94692 119461 122007 139074 162676 238922 244014 278148 358383 477844 488028 528697 716766 1057394 1082281 1433532 1552993 1586091 2114788 2164562 3105986 3172182 3246843 4329124 4658979 6211972 6344364 6493686 9317958 12987372 14069653 18635916 28139306 42208959 56278612 72512827 84417918 145025654 168835836 217538481 290051308 435076962 870153924 942666751 1885333502 2828000253 3770667004 5656000506 11312001012