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100100230032 = 24311189583769
BaseRepresentation
bin101110100111001110…
…0000100101110010000
3100120101011020120000010
41131032130010232100
53120001124330112
6113552503154520
710142401626225
oct1351634045620
9316334216003
10100100230032
11394a7a74440
1217497445a40
139593503b5a
144bb84b194c
15290ce3763c
hex174e704b90

100100230032 has 40 divisors (see below), whose sum is σ = 282100649760. Its totient is φ = 30333402880.

The previous prime is 100100230019. The next prime is 100100230037. The reversal of 100100230032 is 230032001001.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (100100230037) 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 7 ways as a sum of consecutive naturals, for example, 94791357 + ... + 94792412.

It is an arithmetic number, because the mean of its divisors is an integer number (7052516244).

Almost surely, 2100100230032 is an apocalyptic number.

100100230032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100100230032 is an abundant number, since it is smaller than the sum of its proper divisors (182000419728).

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

100100230032 is a wasteful number, since it uses less digits than its factorization.

100100230032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189583791 (or 189583785 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100100230032 its reverse (230032001001), we get a palindrome (330132231033).

The spelling of 100100230032 in words is "one hundred billion, one hundred million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 189583769 379167538 568751307 758335076 1137502614 1516670152 2085421459 2275005228 3033340304 4170842918 4550010456 6256264377 8341685836 9100020912 12512528754 16683371672 25025057508 33366743344 50050115016 100100230032