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102302583880 = 23571920399431
BaseRepresentation
bin101111101000110110…
…1011000110001001000
3100210001122100201112011
41133101231120301020
53134003430141010
6114555215225304
710251103421020
oct1372155306110
9323048321464
10102302583880
113a428161492
12179b0b18234
13985487aa03
144d46ba2a80
1529db46ba8a
hex17d1b58c48

102302583880 has 128 divisors (see below), whose sum is σ = 277074432000. Its totient is φ = 33209291520.

The previous prime is 102302583797. The next prime is 102302583919. The reversal of 102302583880 is 88385203201.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 10842765 + ... + 10852195.

It is an arithmetic number, because the mean of its divisors is an integer number (2164644000).

Almost surely, 2102302583880 is an apocalyptic number.

102302583880 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 102302583880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138537216000).

102302583880 is an abundant number, since it is smaller than the sum of its proper divisors (174771848120).

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

102302583880 is a wasteful number, since it uses less digits than its factorization.

102302583880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11507 (or 11503 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 102302583880 in words is "one hundred two billion, three hundred two million, five hundred eighty-three thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2039 2660 4078 5320 8156 9431 10195 14273 16312 18862 20390 28546 37724 38741 40780 47155 57092 66017 71365 75448 77482 81560 94310 114184 132034 142730 154964 179189 188620 193705 264068 271187 285460 309928 330085 358378 377240 387410 528136 542374 570920 660170 716756 774820 895945 1084748 1254323 1320340 1355935 1433512 1549640 1791890 2169496 2508646 2640680 2711870 3583780 5017292 5423740 6271615 7167560 10034584 10847480 12543230 19229809 25086460 38459618 50172920 76919236 96149045 134608663 153838472 192298090 269217326 365366371 384596180 538434652 673043315 730732742 769192360 1076869304 1346086630 1461465484 1826831855 2557564597 2692173260 2922930968 3653663710 5115129194 5384346520 7307327420 10230258388 12787822985 14614654840 20460516776 25575645970 51151291940 102302583880