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100111021100 = 22524912038921
BaseRepresentation
bin101110100111100010…
…1001111010000101100
3100120101220112210120022
41131033011033100230
53120011410133400
6113553530341312
710142562432116
oct1351705172054
9316356483508
10100111021100
1139503074982
121749ab8a838
1395958117bc
144bb9ac03b6
15290dd69b85
hex174f14f42c

100111021100 has 36 divisors (see below), whose sum is σ = 217683468408. Its totient is φ = 39962832000.

The previous prime is 100111021069. The next prime is 100111021103. The reversal of 100111021100 is 1120111001.

It is a happy number.

100111021100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (100111021103) 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, 970361 + ... + 1068560.

Almost surely, 2100111021100 is an apocalyptic number.

100111021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111021100 is an abundant number, since it is smaller than the sum of its proper divisors (117572447308).

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

100111021100 is a wasteful number, since it uses less digits than its factorization.

100111021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039426 (or 2039419 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100111021100 its reverse (1120111001), we get a palindrome (101231132101).

The spelling of 100111021100 in words is "one hundred billion, one hundred eleven million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 491 982 1964 2455 4910 9820 12275 24550 49100 2038921 4077842 8155684 10194605 20389210 40778420 50973025 101946050 203892100 1001110211 2002220422 4004440844 5005551055 10011102110 20022204220 25027755275 50055510550 100111021100