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101012001020 = 22573671965979
BaseRepresentation
bin101111000010011001…
…0001101000011111100
3100122201200220022122222
41132010302031003330
53123333033013040
6114223153424512
710204112561540
oct1360462150374
9318650808588
10101012001020
1139925706487
12176b086b138
1396aa38c208
144c63613a20
152962edbbb5
hex1784c8d0fc

101012001020 has 48 divisors (see below), whose sum is σ = 243089495040. Its totient is φ = 34538301504.

The previous prime is 101012001007. The next prime is 101012001037. The reversal of 101012001020 is 20100210101.

It is a junction number, because it is equal to n+sod(n) for n = 101012000989 and 101012001007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 931610 + ... + 1034369.

It is an arithmetic number, because the mean of its divisors is an integer number (5064364480).

Almost surely, 2101012001020 is an apocalyptic number.

101012001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012001020 is an abundant number, since it is smaller than the sum of its proper divisors (142077494020).

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

101012001020 is a wasteful number, since it uses less digits than its factorization.

101012001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966362 (or 1966360 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101012001020 its reverse (20100210101), we get a palindrome (121112211121).

The spelling of 101012001020 in words is "one hundred one billion, twelve million, one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 367 734 1468 1835 2569 3670 5138 7340 10276 12845 25690 51380 1965979 3931958 7863916 9829895 13761853 19659790 27523706 39319580 55047412 68809265 137618530 275237060 721514293 1443028586 2886057172 3607571465 5050600051 7215142930 10101200102 14430285860 20202400204 25253000255 50506000510 101012001020