Search a number
-
+
1015106162122 = 213238366111863
BaseRepresentation
bin11101100010110010000…
…10101100110111001010
310121001011111022222020001
432301121002230313022
5113112414134141442
62054155555553214
7133224164004013
oct16613102546712
93531144288201
101015106162122
1136155aa680a8
12144898bbb80a
1374954b05100
14371ba7c400a
151b612a4b2b7
hexec590acdca

1015106162122 has 48 divisors (see below), whose sum is σ = 1655742117888. Its totient is φ = 466541000640.

The previous prime is 1015106162099. The next prime is 1015106162129. The reversal of 1015106162122 is 2212616015101.

1015106162122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10151061621222 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1015106162129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85563163 + ... + 85575025.

It is an arithmetic number, because the mean of its divisors is an integer number (34494627456).

Almost surely, 21015106162122 is an apocalyptic number.

1015106162122 is a deficient number, since it is larger than the sum of its proper divisors (640635955766).

1015106162122 is a wasteful number, since it uses less digits than its factorization.

1015106162122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12935 (or 12922 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The spelling of 1015106162122 in words is "one trillion, fifteen billion, one hundred six million, one hundred sixty-two thousand, one hundred twenty-two".

Divisors: 1 2 13 26 169 338 383 661 766 1322 4979 8593 9958 11863 17186 23726 64727 111709 129454 154219 223418 253163 308438 506326 2004847 3291119 4009694 4543529 6582238 7841443 9087058 15682886 42784547 59065877 85569094 101938759 118131754 203877518 767856401 1325203867 1535712802 2650407734 3003272669 6006545338 39042544697 78085089394 507553081061 1015106162122