Search a number
-
+
110385092232 = 2332107105113633
BaseRepresentation
bin110011011001101110…
…1101101011010001000
3101112220221000200121100
41212303131231122020
53302032040422412
6122413223341400
710655305542222
oct1466335553210
9345827020540
10110385092232
11428a5563658
12194878b1860
13a54221bb2c
1454b23c7412
152d10d13edc
hex19b376d688

110385092232 has 96 divisors (see below), whose sum is σ = 302062906080. Its totient is φ = 36413798400.

The previous prime is 110385092231. The next prime is 110385092249. The reversal of 110385092232 is 232290583011.

110385092232 is a `hidden beast` number, since 110 + 3 + 8 + 509 + 2 + 2 + 32 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (110385092231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8090088 + ... + 8103720.

It is an arithmetic number, because the mean of its divisors is an integer number (3146488605).

Almost surely, 2110385092232 is an apocalyptic number.

110385092232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110385092232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151031453040).

110385092232 is an abundant number, since it is smaller than the sum of its proper divisors (191677813848).

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

110385092232 is a wasteful number, since it uses less digits than its factorization.

110385092232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14803 (or 14796 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 110385092232 in words is "one hundred ten billion, three hundred eighty-five million, ninety-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 856 963 1051 1284 1926 2102 2568 3153 3852 4204 6306 7704 8408 9459 12612 13633 18918 25224 27266 37836 40899 54532 75672 81798 109064 112457 122697 163596 224914 245394 327192 337371 449828 490788 674742 899656 981576 1012113 1349484 1458731 2024226 2698968 2917462 4048452 4376193 5834924 8096904 8752386 11669848 13128579 14328283 17504772 26257158 28656566 35009544 42984849 52514316 57313132 85969698 105028632 114626264 128954547 171939396 257909094 343878792 515818188 1031636376 1533126281 3066252562 4599378843 6132505124 9198757686 12265010248 13798136529 18397515372 27596273058 36795030744 55192546116 110385092232