Search a number
-
+
10131012120 = 2335400121101
BaseRepresentation
bin10010110111101101…
…01111101000011000
3222011001021201222010
421123312233220120
5131222014341440
64353142425520
7506025116325
oct113366575030
928131251863
1010131012120
114329768399
121b68a322a0
13c55b9b838
146c1707b4c
153e463b580
hex25bdafa18

10131012120 has 64 divisors (see below), whose sum is σ = 30402073440. Its totient is φ = 2700800000.

The previous prime is 10131012091. The next prime is 10131012131. The reversal of 10131012120 is 2121013101.

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 = 10131012096 and 10131012105.

It is a congruent number.

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, 469570 + ... + 490670.

Almost surely, 210131012120 is an apocalyptic number.

10131012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131012120 is an abundant number, since it is smaller than the sum of its proper divisors (20271061320).

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

10131012120 is a wasteful number, since it uses less digits than its factorization.

10131012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25116 (or 25112 counting only the distinct ones).

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

Adding to 10131012120 its reverse (2121013101), we get a palindrome (12252025221).

The spelling of 10131012120 in words is "ten billion, one hundred thirty-one million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 4001 8002 12003 16004 20005 21101 24006 32008 40010 42202 48012 60015 63303 80020 84404 96024 105505 120030 126606 160040 168808 211010 240060 253212 316515 422020 480120 506424 633030 844040 1266060 2532120 84425101 168850202 253275303 337700404 422125505 506550606 675400808 844251010 1013101212 1266376515 1688502020 2026202424 2532753030 3377004040 5065506060 10131012120