Search a number
-
+
1108152025308 = 2233233251175447
BaseRepresentation
bin10000001000000011000…
…000100000000011011100
310220221100000112120011000
4100020003000200003130
5121123443404302213
62205024503430300
7143030016541116
oct20100300400334
93827300476130
101108152025308
11397a67a24299
1215a925a55390
13806629790a3
143b8c60263b6
151dc5b4cac73
hex102030200dc

1108152025308 has 96 divisors (see below), whose sum is σ = 2896828945920. Its totient is φ = 366331248000.

The previous prime is 1108152025291. The next prime is 1108152025313. The reversal of 1108152025308 is 8035202518011.

1108152025308 is a `hidden beast` number, since 1 + 1 + 0 + 81 + 520 + 2 + 53 + 0 + 8 = 666.

It is a super-2 number, since 2×11081520253082 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6228441 + ... + 6403887.

It is an arithmetic number, because the mean of its divisors is an integer number (30175301520).

Almost surely, 21108152025308 is an apocalyptic number.

1108152025308 is a gapful number since it is divisible by the number (18) 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 1108152025308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448414472960).

1108152025308 is an abundant number, since it is smaller than the sum of its proper divisors (1788676920612).

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

1108152025308 is a wasteful number, since it uses less digits than its factorization.

1108152025308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175944 (or 175936 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

Adding to 1108152025308 its sum of digits (36), we get a square (1108152025344 = 10526882).

The spelling of 1108152025308 in words is "one trillion, one hundred eight billion, one hundred fifty-two million, twenty-five thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 233 251 466 502 699 753 932 1004 1398 1506 2097 2259 2796 3012 4194 4518 6291 6777 8388 9036 12582 13554 25164 27108 58483 116966 175447 175449 233932 350894 350898 526341 526347 701788 701796 1052682 1052694 1579023 1579041 2105364 2105388 3158046 3158082 4737069 6316092 6316164 9474138 18948276 40879151 44037197 81758302 88074394 122637453 132111591 163516604 176148788 245274906 264223182 367912359 396334773 490549812 528446364 735824718 792669546 1103737077 1189004319 1471649436 1585339092 2207474154 2378008638 4414948308 4756017276 10260666901 20521333802 30782000703 41042667604 61564001406 92346002109 123128002812 184692004218 277038006327 369384008436 554076012654 1108152025308