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100110000012 = 223112371863413
BaseRepresentation
bin101110100111100000…
…1010101111110001100
3100120101211121220220020
41131033001111332030
53120011130000022
6113553452422140
710142550650151
oct1351701257614
9316354556806
10100110000012
1139502537800
121749a777950
139595544ac9
144bb98d6228
15290dc1735c
hex174f055f8c

100110000012 has 72 divisors (see below), whose sum is σ = 263695441968. Its totient is φ = 29516446080.

The previous prime is 100110000007. The next prime is 100110000097. The reversal of 100110000012 is 210000011001.

100110000012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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, 877983 + ... + 985430.

It is an arithmetic number, because the mean of its divisors is an integer number (3662436694).

Almost surely, 2100110000012 is an apocalyptic number.

100110000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100110000012 is an abundant number, since it is smaller than the sum of its proper divisors (163585441956).

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

100110000012 is a wasteful number, since it uses less digits than its factorization.

100110000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863479 (or 1863466 counting only the distinct ones).

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

Adding to 100110000012 its reverse (210000011001), we get a palindrome (310110011013).

The spelling of 100110000012 in words is "one hundred billion, one hundred ten million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 121 132 148 222 242 363 407 444 484 726 814 1221 1452 1628 2442 4477 4884 8954 13431 17908 26862 53724 1863413 3726826 5590239 7453652 11180478 20497543 22360956 40995086 61492629 68946281 81990172 122985258 137892562 206838843 225472973 245970516 275785124 413677686 450945946 676418919 758409091 827355372 901891892 1352837838 1516818182 2275227273 2705675676 3033636364 4550454546 8342500001 9100909092 16685000002 25027500003 33370000004 50055000006 100110000012