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120233032100 = 22521770725313
BaseRepresentation
bin110111111111001110…
…0100111100110100100
3102111100020122212102222
41233332130213212210
53432214124011400
6131122335051512
711454325624166
oct1577634474644
9374306585388
10120233032100
1146a99459635
121b375970b98
13b45156879c
145b68286936
1531da687185
hex1bfe7279a4

120233032100 has 36 divisors (see below), whose sum is σ = 276253076484. Its totient is φ = 45264199680.

The previous prime is 120233032081. The next prime is 120233032111. The reversal of 120233032100 is 1230332021.

It can be written as a sum of positive squares in 6 ways, for example, as 1570695424 + 118662336676 = 39632^2 + 344474^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35360957 + ... + 35364356.

It is an arithmetic number, because the mean of its divisors is an integer number (7673696569).

Almost surely, 2120233032100 is an apocalyptic number.

120233032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120233032100 is an abundant number, since it is smaller than the sum of its proper divisors (156020044384).

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

120233032100 is a wasteful number, since it uses less digits than its factorization.

120233032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70725344 (or 70725337 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 120233032100 its reverse (1230332021), we get a palindrome (121463364121).

The spelling of 120233032100 in words is "one hundred twenty billion, two hundred thirty-three million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 70725313 141450626 282901252 353626565 707253130 1202330321 1414506260 1768132825 2404660642 3536265650 4809321284 6011651605 7072531300 12023303210 24046606420 30058258025 60116516050 120233032100