Search a number
-
+
103111303232 = 2673122732707
BaseRepresentation
bin110000000000111101…
…0011010000001000000
3100212011000002220220202
41200001322122001000
53142132443200412
6115211345024332
710310123421260
oct1400172320100
9325130086822
10103111303232
113a802708293
1217b979250a8
139953294582
144dc235b7a0
152a374673c2
hex1801e9a040

103111303232 has 112 divisors (see below), whose sum is σ = 242455769088. Its totient is φ = 42575362560.

The previous prime is 103111303157. The next prime is 103111303261. The reversal of 103111303232 is 232303111301.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3136223 + ... + 3168929.

Almost surely, 2103111303232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103111303232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121227884544).

103111303232 is an abundant number, since it is smaller than the sum of its proper divisors (139344465856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103111303232 is a wasteful number, since it uses less digits than its factorization.

103111303232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32984 (or 32974 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 103111303232 its reverse (232303111301), we get a palindrome (335414414533).

The spelling of 103111303232 in words is "one hundred three billion, one hundred eleven million, three hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 227 248 434 448 454 496 868 908 992 1589 1736 1816 1984 3178 3472 3632 6356 6944 7037 7264 12712 13888 14074 14528 25424 28148 32707 49259 50848 56296 65414 98518 101696 112592 130828 197036 225184 228949 261656 394072 450368 457898 523312 788144 915796 1013917 1046624 1576288 1831592 2027834 2093248 3152576 3663184 4055668 7097419 7326368 7424489 8111336 14194838 14652736 14848978 16222672 28389676 29697956 32445344 51971423 56779352 59395912 64890688 103942846 113558704 118791824 207885692 227117408 230159159 237583648 415771384 454234816 460318318 475167296 831542768 920636636 1611114113 1663085536 1841273272 3222228226 3326171072 3682546544 6444456452 7365093088 12888912904 14730186176 25777825808 51555651616 103111303232