Search a number
-
+
102173360940 = 22325781089969
BaseRepresentation
bin101111100101000000…
…0011100001100101100
3100202201122012111222100
41133022000130030230
53133222340022230
6114534321415100
710244644144530
oct1371200341454
9322648174870
10102173360940
113a371220372
121797579a490
139833b74b31
144d33965bc0
1529cee43660
hex17ca01c32c

102173360940 has 72 divisors (see below), whose sum is σ = 354200988960. Its totient is φ = 23353910784.

The previous prime is 102173360929. The next prime is 102173360953. The reversal of 102173360940 is 49063371201.

102173360940 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 7 + 3 + 3 + 609 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102173360895 and 102173360904.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40543725 + ... + 40546244.

It is an arithmetic number, because the mean of its divisors is an integer number (4919458180).

Almost surely, 2102173360940 is an apocalyptic number.

102173360940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102173360940 is an abundant number, since it is smaller than the sum of its proper divisors (252027628020).

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

102173360940 is a wasteful number, since it uses less digits than its factorization.

102173360940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81089991 (or 81089986 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 102173360940 in words is "one hundred two billion, one hundred seventy-three million, three hundred sixty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 81089969 162179938 243269907 324359876 405449845 486539814 567629783 729809721 810899690 973079628 1135259566 1216349535 1459619442 1621799380 1702889349 2270519132 2432699070 2838148915 2919238884 3405778698 3649048605 4865398140 5108668047 5676297830 6811557396 7298097210 8514446745 10217336094 11352595660 14596194420 17028893490 20434672188 25543340235 34057786980 51086680470 102173360940