Search a number
-
+
103320111132090 = 2335988873869741
BaseRepresentation
bin10111011111100000010110…
…100001011010110110111010
3111112211022021012011012022000
4113133200112201122312322
5102020244041422211330
61003424334230441430
730522426446134116
oct2737402641326672
9445738235135260
10103320111132090
112aa148a4203376
12b708168203276
1345860771bcab8
141b72a11bc0746
15be28d7091560
hex5df81685adba

103320111132090 has 64 divisors (see below), whose sum is σ = 275523153765120. Its totient is φ = 27551743894080.

The previous prime is 103320111132089. The next prime is 103320111132113. The reversal of 103320111132090 is 90231111023301.

103320111132090 is a `hidden beast` number, since 1 + 0 + 3 + 320 + 1 + 1 + 11 + 320 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 24764620 + ... + 28634360.

It is an arithmetic number, because the mean of its divisors is an integer number (4305049277580).

Almost surely, 2103320111132090 is an apocalyptic number.

103320111132090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103320111132090 is an abundant number, since it is smaller than the sum of its proper divisors (172203042633030).

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

103320111132090 is a wasteful number, since it uses less digits than its factorization.

103320111132090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3968644 (or 3968638 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

Adding to 103320111132090 its reverse (90231111023301), we get a palindrome (193551222155391).

The spelling of 103320111132090 in words is "one hundred three trillion, three hundred twenty billion, one hundred eleven million, one hundred thirty-two thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 98887 197774 296661 494435 593322 889983 988870 1483305 1779966 2669949 2966610 3869741 4449915 5339898 7739482 8899830 11609223 13349745 19348705 23218446 26699490 34827669 38697410 58046115 69655338 104483007 116092230 174138345 208966014 348276690 522415035 1044830070 382667078267 765334156534 1148001234801 1913335391335 2296002469602 3444003704403 3826670782670 5740006174005 6888007408806 10332011113209 11480012348010 17220018522015 20664022226418 34440037044030 51660055566045 103320111132090