Search a number
-
+
10146134220 = 2235732316469
BaseRepresentation
bin10010111001100000…
…11011100011001100
3222012002202000120220
421130300123203030
5131234402243340
64354442511340
7506300501145
oct113460334314
928162660526
1010146134220
1143372568a2
121b71b05550
13c59064921
146c3722acc
153e5b26ed0
hex25cc1b8cc

10146134220 has 48 divisors (see below), whose sum is σ = 28798355040. Its totient is φ = 2668571136.

The previous prime is 10146134203. The next prime is 10146134231. The reversal of 10146134220 is 2243164101.

It is a super-2 number, since 2×101461342202 (a number of 21 digits) contains 22 as substring.

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, 1153855 + ... + 1162614.

It is an arithmetic number, because the mean of its divisors is an integer number (599965730).

Almost surely, 210146134220 is an apocalyptic number.

10146134220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10146134220 is an abundant number, since it is smaller than the sum of its proper divisors (18652220820).

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

10146134220 is a wasteful number, since it uses less digits than its factorization.

10146134220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316554 (or 2316552 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10146134220 its reverse (2243164101), we get a palindrome (12389298321).

The spelling of 10146134220 in words is "ten billion, one hundred forty-six million, one hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 2316469 4632938 6949407 9265876 11582345 13898814 23164690 27797628 34747035 46329380 69494070 138988140 169102237 338204474 507306711 676408948 845511185 1014613422 1691022370 2029226844 2536533555 3382044740 5073067110 10146134220