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100131221022 = 2372579276563
BaseRepresentation
bin101110101000001001…
…0010010111000011110
3100120110022120001122120
41131100102102320132
53120032043033042
6113555531323410
710143226223040
oct1352022227036
9316408501576
10100131221022
1139513511428
12174a58b0566
139599a64c11
144bbc65ba90
152910a09dec
hex1750492e1e

100131221022 has 32 divisors (see below), whose sum is σ = 229761937152. Its totient is φ = 28497598464.

The previous prime is 100131221009. The next prime is 100131221039. The reversal of 100131221022 is 220122131001.

It is a super-2 number, since 2×1001312210222 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100131220992 and 100131221010.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4627488 + ... + 4649075.

It is an arithmetic number, because the mean of its divisors is an integer number (7180060536).

Almost surely, 2100131221022 is an apocalyptic number.

100131221022 is an abundant number, since it is smaller than the sum of its proper divisors (129630716130).

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

100131221022 is a wasteful number, since it uses less digits than its factorization.

100131221022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9276832.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100131221022 its reverse (220122131001), we get a palindrome (320253352023).

The spelling of 100131221022 in words is "one hundred billion, one hundred thirty-one million, two hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 257 514 771 1542 1799 3598 5397 10794 9276563 18553126 27829689 55659378 64935941 129871882 194807823 389615646 2384076691 4768153382 7152230073 14304460146 16688536837 33377073674 50065610511 100131221022