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100121032 = 231119233257
BaseRepresentation
bin1011111011110…
…11100111001000
320222101200020101
411331323213020
5201112333112
613533535144
72324005024
oct575734710
9228350211
10100121032
1151574460
12296444b4
131798691b
14d423384
158bca757
hex5f7b9c8

100121032 has 64 divisors (see below), whose sum is σ = 217339200. Its totient is φ = 42762240.

The previous prime is 100121029. The next prime is 100121039. The reversal of 100121032 is 230121001.

It is not an unprimeable number, because it can be changed into a prime (100121039) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 389448 + ... + 389704.

It is an arithmetic number, because the mean of its divisors is an integer number (3395925).

Almost surely, 2100121032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100121032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108669600).

100121032 is an abundant number, since it is smaller than the sum of its proper divisors (117218168).

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

100121032 is a wasteful number, since it uses less digits than its factorization.

100121032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 100121032 is about 10006.0497700141. The cubic root of 100121032 is about 464.3460681237.

Adding to 100121032 its reverse (230121001), we get a palindrome (330242033).

The spelling of 100121032 in words is "one hundred million, one hundred twenty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 233 257 418 466 514 836 932 1028 1672 1864 2056 2563 2827 4427 4883 5126 5654 8854 9766 10252 11308 17708 19532 20504 22616 35416 39064 48697 53713 59881 97394 107426 119762 194788 214852 239524 389576 429704 479048 658691 1137739 1317382 2275478 2634764 4550956 5269528 9101912 12515129 25030258 50060516 100121032