Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
10120122120 = 233584334351
BaseRepresentation
bin10010110110011010…
…01100111100001000
3222010021210110200210
421123031030330020
5131211222401440
64352113201120
7505533422133
oct113315147410
928107713623
1010120122120
1143235aa599
121b652601a0
13c53857b54
146c00b121a
153e36d9a80
hex25b34cf08

10120122120 has 32 divisors (see below), whose sum is σ = 30360366720. Its totient is φ = 2698699200.

The previous prime is 10120122119. The next prime is 10120122121. The reversal of 10120122120 is 2122102101.

It is an interprime number because it is at equal distance from previous prime (10120122119) and next prime (10120122121).

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 = 10120122096 and 10120122105.

It is not an unprimeable number, because it can be changed into a prime (10120122121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42167056 + ... + 42167295.

It is an arithmetic number, because the mean of its divisors is an integer number (948761460).

Almost surely, 210120122120 is an apocalyptic number.

10120122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120122120 is an abundant number, since it is smaller than the sum of its proper divisors (20240244600).

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

10120122120 is a wasteful number, since it uses less digits than its factorization.

10120122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84334365 (or 84334361 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10120122120 its reverse (2122102101), we get a palindrome (12242224221).

It can be divided in two parts, 101201 and 22120, that added together give a palindrome (123321).

The spelling of 10120122120 in words is "ten billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 84334351 168668702 253003053 337337404 421671755 506006106 674674808 843343510 1012012212 1265015265 1686687020 2024024424 2530030530 3373374040 5060061060 10120122120