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102233110020 = 223513172717891
BaseRepresentation
bin101111100110110010…
…0010111011000000100
3100202212210122002022020
41133031210113120010
53133333134010040
6114544254203140
710246301045226
oct1371544273004
9322783562266
10102233110020
113a3a1a1a778
12179917b34b0
139843364812
144d3b87a416
1529d52e6cd0
hex17cd917604

102233110020 has 96 divisors (see below), whose sum is σ = 288850738176. Its totient is φ = 27015331200.

The previous prime is 102233110013. The next prime is 102233110061. The reversal of 102233110020 is 20011332201.

It is a super-2 number, since 2×1022331100202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 5705275 + ... + 5723165.

It is an arithmetic number, because the mean of its divisors is an integer number (3008861856).

Almost surely, 2102233110020 is an apocalyptic number.

102233110020 is a gapful number since it is divisible by the number (10) 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 102233110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144425369088).

102233110020 is an abundant number, since it is smaller than the sum of its proper divisors (186617628156).

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

102233110020 is a wasteful number, since it uses less digits than its factorization.

102233110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18761 (or 18759 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102233110020 its reverse (20011332201), we get a palindrome (122244442221).

The spelling of 102233110020 in words is "one hundred two billion, two hundred thirty-three million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 727 786 1310 1454 1572 1965 2181 2620 2908 3635 3930 4362 7270 7860 8724 10905 14540 17891 21810 35782 43620 53673 71564 89455 95237 107346 178910 190474 214692 268365 285711 357820 380948 476185 536730 571422 952370 1073460 1142844 1428555 1904740 2343721 2857110 4687442 5714220 7031163 9374884 11718605 13006757 14062326 23437210 26013514 28124652 35155815 39020271 46874420 52027028 65033785 70311630 78040542 130067570 140623260 156081084 195101355 260135140 390202710 780405420 1703885167 3407770334 5111655501 6815540668 8519425835 10223311002 17038851670 20446622004 25558277505 34077703340 51116555010 102233110020