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103130500500 = 22325353432413
BaseRepresentation
bin110000000001100001…
…1101000110110010100
3100212012100020020121200
41200003003220312110
53142202402004000
6115213312312500
710310445535056
oct1400303506624
9325170206550
10103130500500
113a81252a4a5
1217ba2242730
1399572564c1
144dc4b178d6
152a38eaa500
hex18030e8d94

103130500500 has 144 divisors (see below), whose sum is σ = 331481653776. Its totient is φ = 26982508800.

The previous prime is 103130500489. The next prime is 103130500507. The reversal of 103130500500 is 5005031301.

It is a happy number.

103130500500 is a `hidden beast` number, since 103 + 13 + 0 + 50 + 0 + 500 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 21051688464 + 82078812036 = 145092^2 + 286494^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103130500507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22294 + ... + 454706.

It is an arithmetic number, because the mean of its divisors is an integer number (2301955929).

Almost surely, 2103130500500 is an apocalyptic number.

103130500500 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 103130500500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165740826888).

103130500500 is an abundant number, since it is smaller than the sum of its proper divisors (228351153276).

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

103130500500 is a wasteful number, since it uses less digits than its factorization.

103130500500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432491 (or 432476 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

Adding to 103130500500 its reverse (5005031301), we get a palindrome (108135531801).

The spelling of 103130500500 in words is "one hundred three billion, one hundred thirty million, five hundred thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 53 60 75 90 100 106 125 150 159 180 212 225 250 265 300 318 375 450 477 500 530 636 750 795 900 954 1060 1125 1325 1500 1590 1908 2250 2385 2650 3180 3975 4500 4770 5300 6625 7950 9540 11925 13250 15900 19875 23850 26500 39750 47700 59625 79500 119250 238500 432413 864826 1297239 1729652 2162065 2594478 3891717 4324130 5188956 6486195 7783434 8648260 10810325 12972390 15566868 19458585 21620650 22917889 25944780 32430975 38917170 43241300 45835778 54051625 64861950 68753667 77834340 91671556 97292925 108103250 114589445 129723900 137507334 162154875 194585850 206261001 216206500 229178890 275014668 324309750 343768335 389171700 412522002 458357780 486464625 572947225 648619500 687536670 825044004 972929250 1031305005 1145894450 1375073340 1718841675 1945858500 2062610010 2291788900 2864736125 3437683350 4125220020 5156525025 5729472250 6875366700 8594208375 10313050050 11458944500 17188416750 20626100100 25782625125 34376833500 51565250250 103130500500