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103086869832 = 23331947534439
BaseRepresentation
bin110000000000001110…
…1001100110101001000
3100212002022010120121000
41200000131030311020
53142110214313312
6115205113215000
710306405636002
oct1400035146510
9325068116530
10103086869832
113a79a93a0a1
1217b8b701460
13994b1bb23b
144dbcddb372
152a3523cadc
hex180074cd48

103086869832 has 128 divisors (see below), whose sum is σ = 307837440000. Its totient is φ = 31861055808.

The previous prime is 103086869827. The next prime is 103086869909. The reversal of 103086869832 is 238968680301.

It is a happy number.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74332 + ... + 460107.

It is an arithmetic number, because the mean of its divisors is an integer number (2404980000).

Almost surely, 2103086869832 is an apocalyptic number.

103086869832 is a gapful number since it is divisible by the number (12) 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 103086869832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153918720000).

103086869832 is an abundant number, since it is smaller than the sum of its proper divisors (204750570168).

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

103086869832 is a wasteful number, since it uses less digits than its factorization.

103086869832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534520 (or 534510 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 103086869832 in words is "one hundred three billion, eighty-six million, eight hundred sixty-nine thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 47 54 57 72 76 94 108 114 141 152 171 188 216 228 282 342 376 423 456 513 564 684 846 893 1026 1128 1269 1368 1692 1786 2052 2538 2679 3384 3572 4104 5076 5358 7144 8037 10152 10716 16074 21432 24111 32148 48222 64296 96444 192888 534439 1068878 1603317 2137756 3206634 4275512 4809951 6413268 9619902 10154341 12826536 14429853 19239804 20308682 25118633 28859706 30463023 38479608 40617364 50237266 57719412 60926046 75355899 81234728 91389069 100474532 115438824 121852092 150711798 182778138 200949064 226067697 243704184 274167207 301423596 365556276 452135394 477254027 548334414 602847192 678203091 731112552 904270788 954508054 1096668828 1356406182 1431762081 1808541576 1909016108 2193337656 2712812364 2863524162 3818032216 4295286243 5425624728 5727048324 8590572486 11454096648 12885858729 17181144972 25771717458 34362289944 51543434916 103086869832