Search a number
-
+
10132122233421 = 332331526316671
BaseRepresentation
bin1001001101110001000110…
…0010111110101001001101
31022212121210000112010102000
42103130101202332221031
52312001041242432141
633314344355022513
72064010301656146
oct223342142765115
938777700463360
1010132122233421
113257010947571
12117780b29aa39
135865bb903a76
1427057c3d0acd
1512885e2615b6
hex937118bea4d

10132122233421 has 32 divisors (see below), whose sum is σ = 16168448163840. Its totient is φ = 6252642039600.

The previous prime is 10132122233411. The next prime is 10132122233423. The reversal of 10132122233421 is 12433222123101.

10132122233421 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 2 + 1 + 2 + 2 + 233 + 421 = 666.

10132122233421 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10132122233421 - 221 = 10132120136269 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132122233423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263139085 + ... + 263177586.

It is an arithmetic number, because the mean of its divisors is an integer number (505264005120).

Almost surely, 210132122233421 is an apocalyptic number.

It is an amenable number.

10132122233421 is a deficient number, since it is larger than the sum of its proper divisors (6036325930419).

10132122233421 is a wasteful number, since it uses less digits than its factorization.

10132122233421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526316734 (or 526316728 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10132122233421 its reverse (12433222123101), we get a palindrome (22565344356522).

The spelling of 10132122233421 in words is "ten trillion, one hundred thirty-two billion, one hundred twenty-two million, two hundred thirty-three thousand, four hundred twenty-one".

Divisors: 1 3 9 23 27 31 69 93 207 279 621 713 837 2139 6417 19251 526316671 1578950013 4736850039 12105283433 14210550117 16315816801 36315850299 48947450403 108947550897 146842351209 326842652691 375263786423 440527053627 1125791359269 3377374077807 10132122233421