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100132001022 = 23157761139681
BaseRepresentation
bin101110101000001010…
…1010001010011111110
3100120110101000200121110
41131100111101103332
53120032243013042
6114000000142450
710143235652064
oct1352025212376
9316411020543
10100132001022
11395139a4459
12174a6007a26
139599c78c61
144bbc7c2034
152910b1109c
hex17505514fe

100132001022 has 32 divisors (see below), whose sum is σ = 201805848864. Its totient is φ = 33120921600.

The previous prime is 100132000987. The next prime is 100132001069. The reversal of 100132001022 is 220100231001.

100132001022 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100132000989 and 100132001007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 647022 + ... + 786702.

It is an arithmetic number, because the mean of its divisors is an integer number (6306432777).

Almost surely, 2100132001022 is an apocalyptic number.

100132001022 is an abundant number, since it is smaller than the sum of its proper divisors (101673847842).

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

100132001022 is a wasteful number, since it uses less digits than its factorization.

100132001022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140604.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100132001022 its reverse (220100231001), we get a palindrome (320232232023).

The spelling of 100132001022 in words is "one hundred billion, one hundred thirty-two million, one thousand, twenty-two".

Divisors: 1 2 3 6 157 314 471 761 942 1522 2283 4566 119477 139681 238954 279362 358431 419043 716862 838086 21929917 43859834 65789751 106297241 131579502 212594482 318891723 637783446 16688666837 33377333674 50066000511 100132001022