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102331334040 = 233513182335983
BaseRepresentation
bin101111101001101101…
…1000011110110011000
3100210010122110101022220
41133103123003312120
53134033310142130
6115002123344040
710251602662515
oct1372333036630
9323118411286
10102331334040
113a442408951
12179ba682020
13985a805b40
144d4a92830c
1529ddc4a410
hex17d36c3d98

102331334040 has 128 divisors (see below), whose sum is σ = 330799472640. Its totient is φ = 25174734336.

The previous prime is 102331334023. The next prime is 102331334041. The reversal of 102331334040 is 40433133201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102331334040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102331334041) 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, 2825889 + ... + 2861871.

It is an arithmetic number, because the mean of its divisors is an integer number (2584370880).

Almost surely, 2102331334040 is an apocalyptic number.

102331334040 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 102331334040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165399736320).

102331334040 is an abundant number, since it is smaller than the sum of its proper divisors (228468138600).

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

102331334040 is a wasteful number, since it uses less digits than its factorization.

102331334040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37833 (or 37829 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 102331334040 its reverse (40433133201), we get a palindrome (142764467241).

The spelling of 102331334040 in words is "one hundred two billion, three hundred thirty-one million, three hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 1823 3646 5469 7292 9115 10938 14584 18230 21876 23699 27345 35983 36460 43752 47398 54690 71097 71966 72920 94796 107949 109380 118495 142194 143932 179915 189592 215898 218760 236990 284388 287864 355485 359830 431796 467779 473980 539745 568776 710970 719660 863592 935558 947960 1079490 1403337 1421940 1439320 1871116 2158980 2338895 2806674 2843880 3742232 4317960 4677790 5613348 7016685 9355580 11226696 14033370 18711160 28066740 56133480 65597009 131194018 196791027 262388036 327985045 393582054 524776072 655970090 787164108 852761117 983955135 1311940180 1574328216 1705522234 1967910270 2558283351 2623880360 3411044468 3935820540 4263805585 5116566702 6822088936 7871641080 8527611170 10233133404 12791416755 17055222340 20466266808 25582833510 34110444680 51165667020 102331334040