Search a number
-
+
122103112131 = 327111313553459
BaseRepresentation
bin111000110110111101…
…0011010000111000011
3102200011120112202222100
41301231322122013003
54000031344042011
6132032101241443
711551554220440
oct1615572320703
9380146482870
10122103112131
1147869029420
121b7b8103283
13b68bb24910
145ca47a29c7
153299934d56
hex1c6de9a1c3

122103112131 has 48 divisors (see below), whose sum is σ = 236806053120. Its totient is φ = 58550938560.

The previous prime is 122103112097. The next prime is 122103112141. The reversal of 122103112131 is 131211301221.

122103112131 is a `hidden beast` number, since 1 + 221 + 0 + 311 + 2 + 131 = 666.

It is not a de Polignac number, because 122103112131 - 211 = 122103110083 is a prime.

It is a super-2 number, since 2×1221031121312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122103112141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6767721 + ... + 6785738.

It is an arithmetic number, because the mean of its divisors is an integer number (4933459440).

Almost surely, 2122103112131 is an apocalyptic number.

122103112131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122103112131 is a deficient number, since it is larger than the sum of its proper divisors (114702940989).

122103112131 is a wasteful number, since it uses less digits than its factorization.

122103112131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13553496 (or 13553493 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 122103112131 its reverse (131211301221), we get a palindrome (253314413352).

The spelling of 122103112131 in words is "one hundred twenty-two billion, one hundred three million, one hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 3003 9009 13553459 40660377 94874213 121981131 149088049 176194967 284622639 447264147 528584901 853867917 1043616343 1233364769 1341792441 1585754703 1938144637 3130849029 3700094307 5814433911 9392547087 11100282921 13567012459 17443301733 40701037377 122103112131