Search a number
-
+
106324525112 = 23137319937027
BaseRepresentation
bin110001100000101101…
…1111000000000111000
3101011102221100111200112
41203001123320000320
53220223034300422
6120502251323452
710452551360141
oct1430133700070
9334387314615
10106324525112
1141101471463
1218733a50588
13a045bb22b0
145208dc8ac8
152b745c7ee2
hex18c16f8038

106324525112 has 64 divisors (see below), whose sum is σ = 217774949280. Its totient is φ = 48369457152.

The previous prime is 106324525049. The next prime is 106324525123. The reversal of 106324525112 is 211525423601.

It is a super-2 number, since 2×1063245251122 (a number of 23 digits) contains 22 as substring.

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, 15127343 + ... + 15134369.

Almost surely, 2106324525112 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 106324525112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108887474640).

106324525112 is an abundant number, since it is smaller than the sum of its proper divisors (111450424168).

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

106324525112 is a wasteful number, since it uses less digits than its factorization.

106324525112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9112 (or 9108 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 106324525112 its reverse (211525423601), we get a palindrome (317849948713).

The spelling of 106324525112 in words is "one hundred six billion, three hundred twenty-four million, five hundred twenty-five thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 73 104 146 292 584 949 1898 1993 3796 3986 7027 7592 7972 14054 15944 25909 28108 51818 56216 91351 103636 145489 182702 207272 290978 365404 512971 581956 730808 1025942 1163912 1891357 2051884 3782714 4103768 6668623 7565428 13337246 14004811 15130856 26674492 28009622 53348984 56019244 112038488 182062543 364125086 728250172 1022351203 1456500344 2044702406 4089404812 8178809624 13290565639 26581131278 53162262556 106324525112