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100001001012 = 223113677206033
BaseRepresentation
bin101110100100010000…
…1100010111000110100
3100120010020112012101020
41131020201202320310
53114300224013022
6113535000301140
710140055324623
oct1351041427064
9316106465336
10100001001012
1139456a5a190
121746a1717b0
139578aa0263
144ba92416ba
15290438635c
hex1748862e34

100001001012 has 48 divisors (see below), whose sum is σ = 254618465472. Its totient is φ = 30294945280.

The previous prime is 100001001011. The next prime is 100001001019. The reversal of 100001001012 is 210100100001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001001011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382348 + ... + 588380.

It is an arithmetic number, because the mean of its divisors is an integer number (5304551364).

Almost surely, 2100001001012 is an apocalyptic number.

100001001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100001001012 is an abundant number, since it is smaller than the sum of its proper divisors (154617464460).

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

100001001012 is a wasteful number, since it uses less digits than its factorization.

100001001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209728 (or 209726 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100001001012 its reverse (210100100001), we get a palindrome (310101101013).

The spelling of 100001001012 in words is "one hundred billion, one million, one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 3677 7354 11031 14708 22062 40447 44124 80894 121341 161788 206033 242682 412066 485364 618099 824132 1236198 2266363 2472396 4532726 6799089 9065452 13598178 27196356 757583341 1515166682 2272750023 3030333364 4545500046 8333416751 9091000092 16666833502 25000250253 33333667004 50000500506 100001001012