Search a number
-
+
10122232131 = 3211212897211
BaseRepresentation
bin10010110110101010…
…10000000101000011
3222010102202200002100
421123111100011003
5131212242412011
64352230321443
7505560360564
oct113325200503
928112680070
1010122232131
114324810900
121b65ab9283
13c5411638b
146c04a016b
153e39a4d56
hex25b550143

10122232131 has 36 divisors (see below), whose sum is σ = 16085716920. Its totient is φ = 6129076800.

The previous prime is 10122232073. The next prime is 10122232171. The reversal of 10122232131 is 13123222101.

It is a de Polignac number, because none of the positive numbers 2k-10122232131 is a prime.

It is a super-2 number, since 2×101222321312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10122232171) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1400116 + ... + 1407326.

It is an arithmetic number, because the mean of its divisors is an integer number (446825470).

Almost surely, 210122232131 is an apocalyptic number.

10122232131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10122232131 is a deficient number, since it is larger than the sum of its proper divisors (5963484789).

10122232131 is a wasteful number, since it uses less digits than its factorization.

10122232131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8528 (or 8514 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10122232131 its reverse (13123222101), we get a palindrome (23245454232).

The spelling of 10122232131 in words is "ten billion, one hundred twenty-two million, two hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 1289 3867 7211 11601 14179 21633 42537 64899 79321 127611 155969 237963 467907 713889 872531 1403721 2617593 7852779 9294979 27884937 83654811 102244769 306734307 920202921 1124692459 3374077377 10122232131