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103831523840 = 2951123160313
BaseRepresentation
bin110000010110011010…
…1110101001000000000
3100221000012022220212002
41200230311311020000
53200121332230330
6115411033523132
710334020250642
oct1405465651000
9327005286762
10103831523840
1140042208730
1218158b734a8
139a39563605
14504dc7a892
152a7a7d0e45
hex182cd75200

103831523840 has 160 divisors (see below), whose sum is σ = 283394111616. Its totient is φ = 36115087360.

The previous prime is 103831523827. The next prime is 103831523899. The reversal of 103831523840 is 48325138301.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 103831523794 and 103831523803.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 567524 + ... + 727836.

Almost surely, 2103831523840 is an apocalyptic number.

103831523840 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 103831523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141697055808).

103831523840 is an abundant number, since it is smaller than the sum of its proper divisors (179562587776).

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

103831523840 is a wasteful number, since it uses less digits than its factorization.

103831523840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160370 (or 160354 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 103831523840 in words is "one hundred three billion, eight hundred thirty-one million, five hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 64 80 88 92 110 115 128 160 176 184 220 230 253 256 320 352 368 440 460 506 512 640 704 736 880 920 1012 1265 1280 1408 1472 1760 1840 2024 2530 2560 2816 2944 3520 3680 4048 5060 5632 5888 7040 7360 8096 10120 11776 14080 14720 16192 20240 28160 29440 32384 40480 58880 64768 80960 129536 160313 161920 320626 323840 641252 647680 801565 1282504 1603130 1763443 2565008 3206260 3526886 3687199 5130016 6412520 7053772 7374398 8817215 10260032 12825040 14107544 14748796 17634430 18435995 20520064 25650080 28215088 29497592 35268860 36871990 40559189 41040128 51300160 56430176 58995184 70537720 73743980 81118378 82080256 102600320 112860352 117990368 141075440 147487960 162236756 202795945 205200640 225720704 235980736 282150880 294975920 324473512 405591890 410401280 451441408 471961472 564301760 589951840 648947024 811183780 902882816 943922944 1128603520 1179903680 1297894048 1622367560 1887845888 2257207040 2359807360 2595788096 3244735120 4514414080 4719614720 5191576192 6489470240 9439229440 10383152384 12978940480 20766304768 25957880960 51915761920 103831523840