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103505000520 = 23357925143499
BaseRepresentation
bin110000001100101100…
…0001111100001001000
3100220011102220211001210
41200121120033201020
53143434240004040
6115314411213120
710322643662625
oct1403130174110
9326142824053
10103505000520
113a994968949
12180877471a0
1399b6a0a14c
14501c76134c
152a5bcd3480
hex181960f848

103505000520 has 128 divisors (see below), whose sum is σ = 315705600000. Its totient is φ = 27142752000.

The previous prime is 103505000447. The next prime is 103505000551. The reversal of 103505000520 is 25000505301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2357731 + ... + 2401229.

It is an arithmetic number, because the mean of its divisors is an integer number (2466450000).

Almost surely, 2103505000520 is an apocalyptic number.

103505000520 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 103505000520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157852800000).

103505000520 is an abundant number, since it is smaller than the sum of its proper divisors (212200599480).

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

103505000520 is a wasteful number, since it uses less digits than its factorization.

103505000520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43843 (or 43839 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

Adding to 103505000520 its reverse (25000505301), we get a palindrome (128505505821).

The spelling of 103505000520 in words is "one hundred three billion, five hundred five million, five hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 251 316 395 474 502 632 753 790 948 1004 1185 1255 1506 1580 1896 2008 2370 2510 3012 3160 3765 4740 5020 6024 7530 9480 10040 15060 19829 30120 39658 43499 59487 79316 86998 99145 118974 130497 158632 173996 198290 217495 237948 260994 297435 347992 396580 434990 475896 521988 594870 652485 793160 869980 1043976 1189740 1304970 1739960 2379480 2609940 3436421 5219880 6872842 10309263 10918249 13745684 17182105 20618526 21836498 27491368 32754747 34364210 41237052 43672996 51546315 54591245 65509494 68728420 82474104 87345992 103092630 109182490 131018988 137456840 163773735 206185260 218364980 262037976 327547470 412370520 436729960 655094940 862541671 1310189880 1725083342 2587625013 3450166684 4312708355 5175250026 6900333368 8625416710 10350500052 12938125065 17250833420 20701000104 25876250130 34501666840 51752500260 103505000520