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100021200156 = 223215717696603
BaseRepresentation
bin101110100100110111…
…0100110010100011100
3100120011122112102101200
41131021232212110130
53114320411401111
6113541001235500
710140422113353
oct1351156462434
9316148472350
10100021200156
11394673a6099
1217474a92b90
139580023207
144babbbc99a
152906026256
hex1749ba651c

100021200156 has 36 divisors (see below), whose sum is σ = 254441772312. Its totient is φ = 33128038944.

The previous prime is 100021200151. The next prime is 100021200157. The reversal of 100021200156 is 651002120001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1000212001562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021200151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8842650 + ... + 8853953.

Almost surely, 2100021200156 is an apocalyptic number.

It is an amenable number.

100021200156 is an abundant number, since it is smaller than the sum of its proper divisors (154420572156).

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

100021200156 is a wasteful number, since it uses less digits than its factorization.

100021200156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17696770 (or 17696765 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 100021200156 its reverse (651002120001), we get a palindrome (751023320157).

The spelling of 100021200156 in words is "one hundred billion, twenty-one million, two hundred thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 157 314 471 628 942 1413 1884 2826 5652 17696603 35393206 53089809 70786412 106179618 159269427 212359236 318538854 637077708 2778366671 5556733342 8335100013 11113466684 16670200026 25005300039 33340400052 50010600078 100021200156