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100132314244 = 22172531634333
BaseRepresentation
bin101110101000001011…
…0011101110010000100
3100120110101121121021021
41131100112131302010
53120032333023434
6114000011000524
710143241425214
oct1352026356204
9316411547237
10100132314244
1139514098816
12174a6139144
13959a0586b1
144bbc864244
152910b73cb4
hex175059dc84

100132314244 has 36 divisors (see below), whose sum is σ = 189657923364. Its totient is φ = 46231983616.

The previous prime is 100132314239. The next prime is 100132314281. The reversal of 100132314244 is 442413231001.

It can be written as a sum of positive squares in 6 ways, for example, as 13261825600 + 86870488644 = 115160^2 + 294738^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 755899 + ... + 878434.

It is an arithmetic number, because the mean of its divisors is an integer number (5268275649).

Almost surely, 2100132314244 is an apocalyptic number.

It is an amenable number.

100132314244 is a deficient number, since it is larger than the sum of its proper divisors (89525609120).

100132314244 is a wasteful number, since it uses less digits than its factorization.

100132314244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634424 (or 1634405 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 100132314244 its reverse (442413231001), we get a palindrome (542545545245).

The spelling of 100132314244 in words is "one hundred billion, one hundred thirty-two million, three hundred fourteen thousand, two hundred forty-four".

Divisors: 1 2 4 17 34 53 68 106 212 289 578 901 1156 1802 3604 15317 30634 61268 1634333 3268666 6537332 27783661 55567322 86619649 111134644 173239298 346478596 472322237 944644474 1472534033 1889288948 2945068066 5890136132 25033078561 50066157122 100132314244