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100104445512 = 2334653236573
BaseRepresentation
bin101110100111010110…
…0001001111001001000
3100120101110011201120000
41131032230021321020
53120003214224022
6113553133403000
710142452514241
oct1351654117110
9316343151500
10100104445512
11394aa393605
1217498939460
13959434b816
144bb8c8bcc8
15290d4bb6ac
hex174eb09e48

100104445512 has 80 divisors (see below), whose sum is σ = 280815703740. Its totient is φ = 33316907904.

The previous prime is 100104445489. The next prime is 100104445517. The reversal of 100104445512 is 215544401001.

100104445512 is a `hidden beast` number, since 1 + 0 + 0 + 104 + 4 + 4 + 551 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96936331716 + 3168113796 = 311346^2 + 56286^2 .

It is a super-2 number, since 2×1001044455122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100104445517) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 304858 + ... + 541430.

Almost surely, 2100104445512 is an apocalyptic number.

100104445512 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 100104445512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140407851870).

100104445512 is an abundant number, since it is smaller than the sum of its proper divisors (180711258228).

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

100104445512 is a wasteful number, since it uses less digits than its factorization.

100104445512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237244 (or 237231 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 100104445512 its reverse (215544401001), we get a palindrome (315648846513).

The spelling of 100104445512 in words is "one hundred billion, one hundred four million, four hundred forty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 653 1306 1959 2612 3918 5224 5877 7836 11754 15672 17631 23508 35262 47016 52893 70524 105786 141048 211572 236573 423144 473146 709719 946292 1419438 1892584 2129157 2838876 4258314 5677752 6387471 8516628 12774942 17033256 19162413 25549884 38324826 51099768 76649652 153299304 154482169 308964338 463446507 617928676 926893014 1235857352 1390339521 1853786028 2780679042 3707572056 4171018563 5561358084 8342037126 11122716168 12513055689 16684074252 25026111378 33368148504 50052222756 100104445512