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1013000301012 = 223728377355127
BaseRepresentation
bin11101011110110111000…
…01011110100111010100
310120211201201210010212010
432233123201132213110
5113044111034113022
62053211012024220
7133121043326160
oct16573341364724
93524651703763
101013000301012
1136067a296517
121443ab902070
13746aa74454b
143705ac4dca0
151b53cc2750c
hexebdb85e9d4

1013000301012 has 96 divisors (see below), whose sum is σ = 2714435684352. Its totient is φ = 288027616896.

The previous prime is 1013000301007. The next prime is 1013000301013. The reversal of 1013000301012 is 2101030003101.

It is a super-3 number, since 3×10130003010123 (a number of 37 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (1013000301013) 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, 18348193 + ... + 18403319.

It is an arithmetic number, because the mean of its divisors is an integer number (28275371712).

Almost surely, 21013000301012 is an apocalyptic number.

1013000301012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1013000301012 is an abundant number, since it is smaller than the sum of its proper divisors (1701435383340).

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

1013000301012 is a wasteful number, since it uses less digits than its factorization.

1013000301012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56197 (or 56195 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1013000301012 its reverse (2101030003101), we get a palindrome (3114030304113).

The spelling of 1013000301012 in words is "one trillion, thirteen billion, three hundred one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 283 566 773 849 1132 1546 1698 1981 2319 3092 3396 3962 4638 5411 5943 7924 9276 10822 11886 16233 21644 23772 32466 55127 64932 110254 165381 218759 220508 330762 385889 437518 656277 661524 771778 875036 1157667 1312554 1531313 1543556 2315334 2625108 3062626 4593939 4630668 6125252 9187878 15600941 18375756 31201882 42613171 46802823 62403764 85226342 93605646 109206587 127839513 170452684 187211292 218413174 255679026 298292197 327619761 436826348 511358052 596584394 655239522 894876591 1193168788 1310479044 1789753182 3579506364 12059527393 24119054786 36178582179 48238109572 72357164358 84416691751 144714328716 168833383502 253250075253 337666767004 506500150506 1013000301012