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102517221930 = 23567137372289
BaseRepresentation
bin101111101111010000…
…0001010101000101010
3100210121121020110120120
41133132200022220222
53134423402100210
6115032403504110
710256321002644
oct1373640125052
9323547213516
10102517221930
113a528332202
1217a50988036
13988a18b986
144d674b5894
152a00218270
hex17de80aa2a

102517221930 has 64 divisors (see below), whose sum is σ = 251536993920. Its totient is φ = 26733256704.

The previous prime is 102517221901. The next prime is 102517221943. The reversal of 102517221930 is 39122715201.

It is a junction number, because it is equal to n+sod(n) for n = 102517221891 and 102517221900.

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, 89226 + ... + 461514.

It is an arithmetic number, because the mean of its divisors is an integer number (3930265530).

Almost surely, 2102517221930 is an apocalyptic number.

102517221930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102517221930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125768496960).

102517221930 is an abundant number, since it is smaller than the sum of its proper divisors (149019771990).

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

102517221930 is a wasteful number, since it uses less digits than its factorization.

102517221930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372503.

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 102517221930 in words is "one hundred two billion, five hundred seventeen million, two hundred twenty-one thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 67 134 137 201 274 335 402 411 670 685 822 1005 1370 2010 2055 4110 9179 18358 27537 45895 55074 91790 137685 275370 372289 744578 1116867 1861445 2233734 3722890 5584335 11168670 24943363 49886726 51003593 74830089 102007186 124716815 149660178 153010779 249433630 255017965 306021558 374150445 510035930 748300890 765053895 1530107790 3417240731 6834481462 10251722193 17086203655 20503444386 34172407310 51258610965 102517221930