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102360773940 = 223529149394819
BaseRepresentation
bin101111101010100101…
…1010111010100110100
3100210012200212002021120
41133111023113110310
53134113324231230
6115005054343540
710252411136235
oct1372513272464
9323180762246
10102360773940
113a457a96547
1217a084babb0
139863942bb9
144d507cd08c
1529e1613310
hex17d52d7534

102360773940 has 96 divisors (see below), whose sum is σ = 298483920000. Its totient is φ = 26178012672.

The previous prime is 102360773939. The next prime is 102360773987. The reversal of 102360773940 is 49377063201.

It is a junction number, because it is equal to n+sod(n) for n = 102360773892 and 102360773901.

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, 61851 + ... + 456669.

It is an arithmetic number, because the mean of its divisors is an integer number (3109207500).

Almost surely, 2102360773940 is an apocalyptic number.

102360773940 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 102360773940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149241960000).

102360773940 is an abundant number, since it is smaller than the sum of its proper divisors (196123146060).

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

102360773940 is a wasteful number, since it uses less digits than its factorization.

102360773940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395009 (or 395007 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The spelling of 102360773940 in words is "one hundred two billion, three hundred sixty million, seven hundred seventy-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 149 174 290 298 348 435 447 580 596 745 870 894 1490 1740 1788 2235 2980 4321 4470 8642 8940 12963 17284 21605 25926 43210 51852 64815 86420 129630 259260 394819 789638 1184457 1579276 1974095 2368914 3948190 4737828 5922285 7896380 11449751 11844570 22899502 23689140 34349253 45799004 57248755 58828031 68698506 114497510 117656062 137397012 171746265 176484093 228995020 235312124 294140155 343492530 352968186 588280310 686985060 705936372 882420465 1176560620 1706012899 1764840930 3412025798 3529681860 5118038697 6824051596 8530064495 10236077394 17060128990 20472154788 25590193485 34120257980 51180386970 102360773940