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103031012120020 = 225291646531078873
BaseRepresentation
bin10111011011010011000110…
…111000001101010111010100
3111111210200001101100201202121
4113123103012320031113110
5102001030003100320040
61003043443223345324
730462513346105405
oct2733230670152724
9444720041321677
10103031012120020
112a913230368706
12b6801255b2244
134564a2392c90a
141b62a287379ac
15bda116914c4a
hex5db4c6e0d5d4

103031012120020 has 48 divisors (see below), whose sum is σ = 223827558690960. Its totient is φ = 39791008889856.

The previous prime is 103031012120017. The next prime is 103031012120041. The reversal of 103031012120020 is 20021210130301.

It can be written as a sum of positive squares in 8 ways, for example, as 2678341726096 + 100352670393924 = 1636564^2 + 10017618^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103031012119976 and 103031012120003.

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, 94959304 + ... + 96038176.

It is an arithmetic number, because the mean of its divisors is an integer number (4663074139395).

Almost surely, 2103031012120020 is an apocalyptic number.

103031012120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103031012120020 is an abundant number, since it is smaller than the sum of its proper divisors (120796546570940).

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

103031012120020 is a wasteful number, since it uses less digits than its factorization.

103031012120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243564 (or 1243562 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 103031012120020 its reverse (20021210130301), we get a palindrome (123052222250321).

The spelling of 103031012120020 in words is "one hundred three trillion, thirty-one billion, twelve million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 164653 329306 658612 823265 1078873 1646530 2157746 3293060 4315492 4774937 5394365 9549874 10788730 19099748 21577460 23874685 31287317 47749370 62574634 95498740 125149268 156436585 312873170 625746340 177639676069 355279352138 710558704276 888198380345 1776396760690 3552793521380 5151550606001 10303101212002 20606202424004 25757753030005 51515506060010 103031012120020