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1013011032312 = 233253379700433
BaseRepresentation
bin11101011110111000010…
…10011010100011111000
310120211202110222100102200
432233130022122203320
5113044121311013222
62053212034030200
7133121233462566
oct16573412324370
93524673870380
101013011032312
11360685356064
121443b3418360
13746aca30c26
143705c444a36
151b53db46eac
hexebdc29a8f8

1013011032312 has 96 divisors (see below), whose sum is σ = 2802716607600. Its totient is φ = 330424593408.

The previous prime is 1013011032281. The next prime is 1013011032323. The reversal of 1013011032312 is 2132301103101.

1013011032312 is a `hidden beast` number, since 10 + 1 + 301 + 10 + 32 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1096048 + ... + 1796480.

Almost surely, 21013011032312 is an apocalyptic number.

1013011032312 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 1013011032312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401358303800).

1013011032312 is an abundant number, since it is smaller than the sum of its proper divisors (1789705575288).

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

1013011032312 is a wasteful number, since it uses less digits than its factorization.

1013011032312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700877 (or 700870 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1013011032312 its reverse (2132301103101), we get a palindrome (3145312135413).

The spelling of 1013011032312 in words is "one trillion, thirteen billion, eleven million, thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 379 424 477 636 758 954 1137 1272 1516 1908 2274 3032 3411 3816 4548 6822 9096 13644 20087 27288 40174 60261 80348 120522 160696 180783 241044 361566 482088 700433 723132 1400866 1446264 2101299 2801732 4202598 5603464 6303897 8405196 12607794 16810392 25215588 37122949 50431176 74245898 111368847 148491796 222737694 265464107 296983592 334106541 445475388 530928214 668213082 796392321 890950776 1061856428 1336426164 1592784642 2123712856 2389176963 2672852328 3185569284 4778353926 6371138568 9556707852 14069597671 19113415704 28139195342 42208793013 56278390684 84417586026 112556781368 126626379039 168835172052 253252758078 337670344104 506505516156 1013011032312