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103020506520 = 23355923396221
BaseRepresentation
bin101111111110010000…
…0000010110110011000
3100211220200020222020120
41133330200002312120
53141441222202040
6115154342553240
710304641566651
oct1377440026630
9324820228216
10103020506520
113a766432388
1217b71438820
13993a523ac9
144db4284528
152a2e4ce7d0
hex17fc802d98

103020506520 has 128 divisors (see below), whose sum is σ = 314484768000. Its totient is φ = 26990620160.

The previous prime is 103020506507. The next prime is 103020506527. The reversal of 103020506520 is 25605020301.

It is a super-2 number, since 2×1030205065202 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103020506527) 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, 16557010 + ... + 16563230.

It is an arithmetic number, because the mean of its divisors is an integer number (2456912250).

Almost surely, 2103020506520 is an apocalyptic number.

103020506520 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 103020506520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157242384000).

103020506520 is an abundant number, since it is smaller than the sum of its proper divisors (211464261480).

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

103020506520 is a wasteful number, since it uses less digits than its factorization.

103020506520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8633 (or 8629 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 103020506520 its reverse (25605020301), we get a palindrome (128625526821).

The spelling of 103020506520 in words is "one hundred three billion, twenty million, five hundred six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1180 1416 1770 2339 2360 3540 4678 6221 7017 7080 9356 11695 12442 14034 18663 18712 23390 24884 28068 31105 35085 37326 46780 49768 56136 62210 70170 74652 93315 93560 124420 138001 140340 149304 186630 248840 276002 280680 367039 373260 414003 552004 690005 734078 746520 828006 1101117 1104008 1380010 1468156 1656012 1835195 2070015 2202234 2760020 2936312 3312024 3670390 4140030 4404468 5505585 5520040 7340780 8280060 8808936 11011170 14550919 14681560 16560120 22022340 29101838 43652757 44044680 58203676 72754595 87305514 116407352 145509190 174611028 218263785 291018380 349222056 436527570 582036760 858504221 873055140 1717008442 1746110280 2575512663 3434016884 4292521105 5151025326 6868033768 8585042210 10302050652 12877563315 17170084420 20604101304 25755126630 34340168840 51510253260 103020506520