Search a number
-
+
102375540366 = 231123113733203
BaseRepresentation
bin101111101011000001…
…1101100011010001110
3100210020201122022000020
41133112003230122032
53134131114242431
6115010343043010
710252650510111
oct1372603543216
9323221568006
10102375540366
113a465361800
1217a11440466
139866a13128
144d52754578
1529e2a7d696
hex17d60ec68e

102375540366 has 96 divisors (see below), whose sum is σ = 234019666944. Its totient is φ = 29802115200.

The previous prime is 102375540341. The next prime is 102375540401. The reversal of 102375540366 is 663045573201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3066721 + ... + 3099923.

It is an arithmetic number, because the mean of its divisors is an integer number (2437704864).

Almost surely, 2102375540366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102375540366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117009833472).

102375540366 is an abundant number, since it is smaller than the sum of its proper divisors (131644126578).

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

102375540366 is a wasteful number, since it uses less digits than its factorization.

102375540366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33398 (or 33387 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 102375540366 in words is "one hundred two billion, three hundred seventy-five million, five hundred forty thousand, three hundred sixty-six".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 121 137 186 242 274 341 363 411 682 726 822 1023 1507 2046 3014 3751 4247 4521 7502 8494 9042 11253 12741 16577 22506 25482 33154 33203 46717 49731 66406 93434 99462 99609 140151 199218 280302 365233 513887 730466 1027774 1029293 1095699 1541661 2058586 2191398 3083322 3087879 4017563 4548811 6175758 8035126 9097622 11322223 12052689 13646433 22644446 24105378 27292866 33966669 50036921 67933338 100073842 124544453 141013141 150110763 249088906 282026282 300221526 373633359 423039423 550406131 747266718 846078846 1100812262 1551144551 1651218393 3102289102 3302436786 4653433653 9306867306 17062590061 34125180122 51187770183 102375540366