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100011000012 = 223711943911467
BaseRepresentation
bin101110100100100011…
…1101100000011001100
3100120010221100012102120
41131021013230003030
53114310304000022
6113535554452540
710140236321340
oct1351107540314
9316127305376
10100011000012
1139461669620
1217471594150
13957ab91521
144baa6c5620
1529051add5c
hex17491ec0cc

100011000012 has 96 divisors (see below), whose sum is σ = 290997288960. Its totient is φ = 25971865920.

The previous prime is 100010999951. The next prime is 100011000059. The reversal of 100011000012 is 210000110001.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8715903 + ... + 8727369.

It is an arithmetic number, because the mean of its divisors is an integer number (3031221760).

Almost surely, 2100011000012 is an apocalyptic number.

100011000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100011000012 is an abundant number, since it is smaller than the sum of its proper divisors (190986288948).

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

100011000012 is a wasteful number, since it uses less digits than its factorization.

100011000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20931 (or 20929 counting only the distinct ones).

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

Adding to 100011000012 its reverse (210000110001), we get a palindrome (310011110013).

The spelling of 100011000012 in words is "one hundred billion, eleven million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 9439 11467 18878 22934 28317 34401 37756 45868 56634 66073 68802 80269 103829 113268 126137 132146 137604 160538 198219 207658 240807 252274 264292 311487 321076 378411 396438 415316 481614 504548 622974 726803 756822 792876 882959 963228 1245948 1453606 1513644 1765918 2180409 2648877 2907212 3531836 4360818 5297754 8721636 10595508 108237013 216474026 324711039 432948052 649422078 757659091 1190607143 1298844156 1515318182 2272977273 2381214286 3030636364 3571821429 4545954546 4762428572 7143642858 8334250001 9091909092 14287285716 16668500002 25002750003 33337000004 50005500006 100011000012