Search a number
-
+
122663742135 = 3511313944201
BaseRepresentation
bin111001000111101010…
…1000010101010110111
3102201121122110201202120
41302033111002222313
54002203404222020
6132203445411023
711601502414314
oct1621725025267
9381548421676
10122663742135
1148026537000
121b933a09a73
13b74b01764c
145d1901bd0b
1532cdc77740
hex1c8f542ab7

122663742135 has 64 divisors (see below), whose sum is σ = 217431406080. Its totient is φ = 59044128000.

The previous prime is 122663742133. The next prime is 122663742239. The reversal of 122663742135 is 531247366221.

It is not a de Polignac number, because 122663742135 - 21 = 122663742133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122663742133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2753035 + ... + 2797235.

It is an arithmetic number, because the mean of its divisors is an integer number (3397365720).

Almost surely, 2122663742135 is an apocalyptic number.

122663742135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

122663742135 is a deficient number, since it is larger than the sum of its proper divisors (94767663945).

122663742135 is a wasteful number, since it uses less digits than its factorization.

122663742135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44381 (or 44359 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The spelling of 122663742135 in words is "one hundred twenty-two billion, six hundred sixty-three million, seven hundred forty-two thousand, one hundred thirty-five".

Divisors: 1 3 5 11 15 33 55 121 139 165 363 417 605 695 1331 1529 1815 2085 3993 4587 6655 7645 16819 19965 22935 44201 50457 84095 132603 185009 221005 252285 486211 555027 663015 925045 1458633 2431055 2775135 5348321 6143939 7293165 16044963 18431817 26741605 30719695 58831531 67583329 80224815 92159085 176494593 202749987 294157655 337916645 743416619 882472965 1013749935 2230249857 3717083095 8177582809 11151249285 24532748427 40887914045 122663742135