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120332012101 = 7217541267017
BaseRepresentation
bin111000000010001011…
…0001100101001000101
3102111121010220120110221
41300010112030221011
53432414443341401
6131140232344341
711456640140500
oct1600426145105
9374533816427
10120332012101
114703a313794
121b3a2b450b1
13b468c12c32
145b77490137
1531e41d97a1
hex1c0458ca45

120332012101 has 24 divisors (see below), whose sum is σ = 148486573656. Its totient is φ = 96894766080.

The previous prime is 120332012093. The next prime is 120332012107. The reversal of 120332012101 is 101210233021.

It can be written as a sum of positive squares in 4 ways, for example, as 30076230625 + 90255781476 = 173425^2 + 300426^2 .

It is not a de Polignac number, because 120332012101 - 23 = 120332012093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120332012107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317145 + ... + 584161.

It is an arithmetic number, because the mean of its divisors is an integer number (6186940569).

Almost surely, 2120332012101 is an apocalyptic number.

It is an amenable number.

120332012101 is a deficient number, since it is larger than the sum of its proper divisors (28154561555).

120332012101 is a wasteful number, since it uses less digits than its factorization.

120332012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267589 (or 267582 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 120332012101 its reverse (101210233021), we get a palindrome (221542245122).

The spelling of 120332012101 in words is "one hundred twenty billion, three hundred thirty-two million, twelve thousand, one hundred one".

Divisors: 1 7 17 49 119 541 833 3787 9197 26509 64379 267017 450653 1869119 4539289 13083833 31775023 144456197 222425161 1011193379 2455755349 7078353653 17190287443 120332012101