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40232112100 = 22521256932009
BaseRepresentation
bin100101011110000001…
…010100111111100100
310211211211211001102221
4211132001110333210
51124343410041400
630252105442124
72622663211315
oct453601247744
9124754731387
1040232112100
1116075a84324
1279697a0344
133a421a0cbb
141d3934c60c
1510a7085c1a
hex95e054fe4

40232112100 has 36 divisors (see below), whose sum is σ = 87313356900. Its totient is φ = 16091061760.

The previous prime is 40232112073. The next prime is 40232112103. The reversal of 40232112100 is 121123204.

40232112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1214801316 + 39017310784 = 34854^2 + 197528^2 .

It is not an unprimeable number, because it can be changed into a prime (40232112103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1240896 + ... + 1272904.

It is an arithmetic number, because the mean of its divisors is an integer number (2425371025).

Almost surely, 240232112100 is an apocalyptic number.

It is an amenable number.

40232112100 is an abundant number, since it is smaller than the sum of its proper divisors (47081244800).

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

40232112100 is a wasteful number, since it uses less digits than its factorization.

40232112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44592 (or 44585 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 40232112100 its reverse (121123204), we get a palindrome (40353235304).

The spelling of 40232112100 in words is "forty billion, two hundred thirty-two million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 12569 25138 32009 50276 62845 64018 125690 128036 160045 251380 314225 320090 628450 640180 800225 1256900 1600450 3200900 402321121 804642242 1609284484 2011605605 4023211210 8046422420 10058028025 20116056050 40232112100