Search a number
-
+
10101030120 = 2332528058417
BaseRepresentation
bin10010110100001000…
…10111110011101000
3222001221212111101200
421122010113303220
5131141330430440
64350152044200
7505212224256
oct113204276350
928057774350
1010101030120
11431384a485
121b5a993660
13c4c901acc
146bb7415d6
153e1bb7c30
hex25a117ce8

10101030120 has 48 divisors (see below), whose sum is σ = 32828349060. Its totient is φ = 2693607936.

The previous prime is 10101030119. The next prime is 10101030151. The reversal of 10101030120 is 2103010101.

It can be written as a sum of positive squares in 2 ways, for example, as 9928528164 + 172501956 = 99642^2 + 13134^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14028849 + ... + 14029568.

Almost surely, 210101030120 is an apocalyptic number.

10101030120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101030120 is an abundant number, since it is smaller than the sum of its proper divisors (22727318940).

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

10101030120 is a wasteful number, since it uses less digits than its factorization.

10101030120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28058434 (or 28058427 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10101030120 its reverse (2103010101), we get a palindrome (12204040221).

The spelling of 10101030120 in words is "ten billion, one hundred one million, thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 28058417 56116834 84175251 112233668 140292085 168350502 224467336 252525753 280584170 336701004 420876255 505051506 561168340 673402008 841752510 1010103012 1122336680 1262628765 1683505020 2020206024 2525257530 3367010040 5050515060 10101030120