Search a number
-
+
103111331312 = 24117120174091
BaseRepresentation
bin110000000000111101…
…0100000110111110000
3100212011000011100102202
41200001322200313300
53142133000100222
6115211345402332
710310123566163
oct1400172406760
9325130140382
10103111331312
113a8027273a0
1217b979393a8
1399532a42a2
144dc2367ada
152a37470892
hex1801ea0df0

103111331312 has 80 divisors (see below), whose sum is σ = 221173058304. Its totient is φ = 46174464000.

The previous prime is 103111331261. The next prime is 103111331329. The reversal of 103111331312 is 213133111301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25202387 + ... + 25206477.

Almost surely, 2103111331312 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 103111331312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110586529152).

103111331312 is an abundant number, since it is smaller than the sum of its proper divisors (118061726992).

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

103111331312 is a wasteful number, since it uses less digits than its factorization.

103111331312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6198 (or 6192 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 103111331312 its reverse (213133111301), we get a palindrome (316244442613).

The spelling of 103111331312 in words is "one hundred three billion, one hundred eleven million, three hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 568 781 1136 1562 2017 3124 4034 4091 6248 8068 8182 12496 16136 16364 22187 32272 32728 44374 45001 65456 88748 90002 143207 177496 180004 286414 290461 354992 360008 572828 580922 720016 1145656 1161844 1575277 2291312 2323688 3150554 3195071 4647376 6301108 6390142 8251547 12602216 12780284 16503094 25204432 25560568 33006188 51121136 66012376 90767017 132024752 181534034 363068068 585859837 726136136 1171719674 1452272272 2343439348 4686878696 6444458207 9373757392 12888916414 25777832828 51555665656 103111331312