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100021102032 = 24319552719843
BaseRepresentation
bin101110100100110111…
…0001110010111010000
3100120011122100102210110
41131021232032113100
53114320400231112
6113540555201320
710140421224315
oct1351156162720
9316148312713
10100021102032
11394673393a5
1217474a46240
13957ccba657
144babb94d0c
15290600713c
hex1749b8e5d0

100021102032 has 80 divisors (see below), whose sum is σ = 272050127360. Its totient is φ = 31578304896.

The previous prime is 100021102019. The next prime is 100021102033. The reversal of 100021102032 is 230201120001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100021101999 and 100021102017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021102033) 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 15 ways as a sum of consecutive naturals, for example, 5030703 + ... + 5050545.

It is an arithmetic number, because the mean of its divisors is an integer number (3400626592).

Almost surely, 2100021102032 is an apocalyptic number.

100021102032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100021102032 is an abundant number, since it is smaller than the sum of its proper divisors (172029025328).

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

100021102032 is a wasteful number, since it uses less digits than its factorization.

100021102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25400 (or 25394 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100021102032 its reverse (230201120001), we get a palindrome (330222222033).

The spelling of 100021102032 in words is "one hundred billion, twenty-one million, one hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 5527 11054 16581 19843 22108 33162 39686 44216 59529 66324 79372 88432 105013 119058 132648 158744 210026 238116 265296 315039 317488 377017 420052 476232 630078 754034 840104 952464 1131051 1260156 1508068 1680208 2262102 2520312 3016136 4524204 5040624 6032272 9048408 18096816 109672261 219344522 329016783 438689044 658033566 877378088 1316067132 1754756176 2083772959 2632134264 4167545918 5264268528 6251318877 8335091836 12502637754 16670183672 25005275508 33340367344 50010551016 100021102032