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101012202020 = 22529174158969
BaseRepresentation
bin101111000010011001…
…0111110001000100100
3100122201201021112101102
41132010302332020210
53123333110431040
6114223202015232
710204114356542
oct1360462761044
9318651245342
10101012202020
11399258334a4
12176b0947518
1396aa42c852
144c63666d92
15296302b515
hex1784cbe224

101012202020 has 24 divisors (see below), whose sum is σ = 219440302200. Its totient is φ = 39011608832.

The previous prime is 101012202019. The next prime is 101012202037. The reversal of 101012202020 is 20202210101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23233685476 + 77778516544 = 152426^2 + 278888^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101012201992 and 101012202010.

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 7 ways as a sum of consecutive naturals, for example, 87078905 + ... + 87080064.

It is an arithmetic number, because the mean of its divisors is an integer number (9143345925).

Almost surely, 2101012202020 is an apocalyptic number.

101012202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012202020 is an abundant number, since it is smaller than the sum of its proper divisors (118428100180).

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

101012202020 is a wasteful number, since it uses less digits than its factorization.

101012202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174159007 (or 174159005 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 101012202020 its reverse (20202210101), we get a palindrome (121214412121).

The spelling of 101012202020 in words is "one hundred one billion, twelve million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 174158969 348317938 696635876 870794845 1741589690 3483179380 5050610101 10101220202 20202440404 25253050505 50506101010 101012202020