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103209428688 = 243171138631297
BaseRepresentation
bin110000000011111000…
…0101110011011010000
3100212101211202012201220
41200013300232123100
53142333103204223
6115225212125040
710312424445312
oct1400760563320
9325354665656
10103209428688
113a853039403
1218004766780
13996a6cca82
144dd13c17b2
152a40d9b6e3
hex1807c2e6d0

103209428688 has 160 divisors (see below), whose sum is σ = 285356307456. Its totient is φ = 32030982144.

The previous prime is 103209428681. The next prime is 103209428723. The reversal of 103209428688 is 886824902301.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 103209428688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103209428681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79574856 + ... + 79576152.

Almost surely, 2103209428688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103209428688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142678153728).

103209428688 is an abundant number, since it is smaller than the sum of its proper divisors (182146878768).

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

103209428688 is a wasteful number, since it uses less digits than its factorization.

103209428688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 103209428688 in words is "one hundred three billion, two hundred nine million, four hundred twenty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 113 136 204 226 272 339 408 452 678 816 863 904 1297 1356 1726 1808 1921 2589 2594 2712 3452 3842 3891 5178 5188 5424 5763 6904 7684 7782 10356 10376 11526 13808 14671 15368 15564 20712 20752 22049 23052 29342 30736 31128 41424 44013 44098 46104 58684 62256 66147 88026 88196 92208 97519 117368 132294 146561 176052 176392 195038 234736 264588 292557 293122 352104 352784 390076 439683 529176 585114 586244 704208 780152 879366 1058352 1119311 1170228 1172488 1560304 1657823 1758732 2238622 2340456 2344976 2491537 3315646 3357933 3517464 4477244 4680912 4973469 4983074 6631292 6715866 7034928 7474611 8954488 9946938 9966148 13262584 13431732 14949222 17908976 19028287 19893876 19932296 26525168 26863464 29898444 38056574 39787752 39864592 53726928 57084861 59796888 76113148 79575504 114169722 119593776 126482143 152226296 228339444 252964286 304452592 379446429 456678888 505928572 758892858 913357776 1011857144 1517785716 2023714288 2150196431 3035571432 4300392862 6071142864 6450589293 8600785724 12901178586 17201571448 25802357172 34403142896 51604714344 103209428688