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101212210020 = 22355331827739
BaseRepresentation
bin101111001000010110…
…1111100001101100100
3100200020122121222210010
41132100231330031210
53124240311210040
6114255104530220
710212063406335
oct1362055741544
9320218558703
10101212210020
1139a18721469
1217747920970
13970c9ba68c
144c8204c28c
152975887e80
hex1790b7c364

101212210020 has 48 divisors (see below), whose sum is σ = 288741257280. Its totient is φ = 26480678016.

The previous prime is 101212210013. The next prime is 101212210091. The reversal of 101212210020 is 20012212101.

It is a super-2 number, since 2×1012122100202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101212209978 and 101212210005.

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, 15910690 + ... + 15917049.

It is an arithmetic number, because the mean of its divisors is an integer number (6015442860).

Almost surely, 2101212210020 is an apocalyptic number.

101212210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212210020 is an abundant number, since it is smaller than the sum of its proper divisors (187529047260).

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

101212210020 is a wasteful number, since it uses less digits than its factorization.

101212210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31827804 (or 31827802 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101212210020 its reverse (20012212101), we get a palindrome (121224422121).

The spelling of 101212210020 in words is "one hundred one billion, two hundred twelve million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 31827739 63655478 95483217 127310956 159138695 190966434 318277390 381932868 477416085 636554780 954832170 1686870167 1909664340 3373740334 5060610501 6747480668 8434350835 10121221002 16868701670 20242442004 25303052505 33737403340 50606105010 101212210020