Search a number
-
+
10120011020 = 2257611185013
BaseRepresentation
bin10010110110011001…
…10001110100001100
3222010021120211021222
421123030301310030
5131211210323040
64352110542512
7505532450210
oct113314616414
928107524258
1010120011020
114323534079
121b65207a38
13c53819402
146c0082940
153e36b6bb5
hex25b331d0c

10120011020 has 48 divisors (see below), whose sum is σ = 24686211648. Its totient is φ = 3412834560.

The previous prime is 10120010993. The next prime is 10120011023. The reversal of 10120011020 is 2011002101.

It is a junction number, because it is equal to n+sod(n) for n = 10120010989 and 10120011007.

It is not an unprimeable number, because it can be changed into a prime (10120011023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583967 + ... + 601046.

It is an arithmetic number, because the mean of its divisors is an integer number (514296076).

Almost surely, 210120011020 is an apocalyptic number.

10120011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120011020 is an abundant number, since it is smaller than the sum of its proper divisors (14566200628).

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

10120011020 is a wasteful number, since it uses less digits than its factorization.

10120011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185090 (or 1185088 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10120011020 its reverse (2011002101), we get a palindrome (12131013121).

The spelling of 10120011020 in words is "ten billion, one hundred twenty million, eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 1220 1708 2135 4270 8540 1185013 2370026 4740052 5925065 8295091 11850130 16590182 23700260 33180364 41475455 72285793 82950910 144571586 165901820 289143172 361428965 506000551 722857930 1012001102 1445715860 2024002204 2530002755 5060005510 10120011020