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101003100031020 = 223511153035000047
BaseRepresentation
bin10110111101110010011101…
…111001100000100000101100
3111020121210122200222211212110
4112331302131321200200230
5101214313322101443040
6554452103353404020
730163142655545505
oct2675623571404054
9436553580884773
10101003100031020
112a2011a0905280
12b3b30b1a09610
13444872274a965
141ad280cc5dbac
15ba24c8288980
hex5bdc9de6082c

101003100031020 has 48 divisors (see below), whose sum is σ = 308518560096768. Its totient is φ = 24485600007360.

The previous prime is 101003100031007. The next prime is 101003100031037. The reversal of 101003100031020 is 20130001300101.

101003100031020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 101003100030987 and 101003100031005.

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, 76517499364 + ... + 76517500683.

It is an arithmetic number, because the mean of its divisors is an integer number (6427470002016).

Almost surely, 2101003100031020 is an apocalyptic number.

101003100031020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101003100031020 is an abundant number, since it is smaller than the sum of its proper divisors (207515460065748).

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

101003100031020 is a wasteful number, since it uses less digits than its factorization.

101003100031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153035000070 (or 153035000068 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101003100031020 its reverse (20130001300101), we get a palindrome (121133101331121).

The spelling of 101003100031020 in words is "one hundred one trillion, three billion, one hundred million, thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 153035000047 306070000094 459105000141 612140000188 765175000235 918210000282 1530350000470 1683385000517 1836420000564 2295525000705 3060700000940 3366770001034 4591050001410 5050155001551 6733540002068 8416925002585 9182100002820 10100310003102 16833850005170 20200620006204 25250775007755 33667700010340 50501550015510 101003100031020