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103302130320 = 24325676121221
BaseRepresentation
bin110000000110101001…
…0010110101010010000
3100212122022011221110200
41200031102112222100
53143030321132240
6115242323055200
710314631422414
oct1401522265220
9325568157420
10103302130320
113a8a03a5524
121802b811500
1399839895cc
144ddd832d44
152a490ad930
hex180d496a90

103302130320 has 120 divisors (see below), whose sum is σ = 346990650552. Its totient is φ = 27541862400.

The previous prime is 103302130307. The next prime is 103302130331. The reversal of 103302130320 is 23031203301.

103302130320 is a `hidden beast` number, since 1 + 0 + 330 + 2 + 13 + 0 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50857466256 + 52444664064 = 225516^2 + 229008^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 103302130293 and 103302130302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4857310 + ... + 4878530.

Almost surely, 2103302130320 is an apocalyptic number.

103302130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103302130320 is an abundant number, since it is smaller than the sum of its proper divisors (243688520232).

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

103302130320 is a wasteful number, since it uses less digits than its factorization.

103302130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28001 (or 27992 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103302130320 its reverse (23031203301), we get a palindrome (126333333621).

The spelling of 103302130320 in words is "one hundred three billion, three hundred two million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 6761 13522 20283 21221 27044 33805 40566 42442 54088 60849 63663 67610 81132 84884 101415 106105 108176 121698 127326 135220 162264 169768 190989 202830 212210 243396 254652 270440 304245 318315 324528 339536 381978 405660 424420 486792 509304 540880 608490 636630 763956 811320 848840 954945 973584 1018608 1216980 1273260 1527912 1622640 1697680 1909890 2433960 2546520 3055824 3819780 4867920 5093040 7639560 15279120 143475181 286950362 430425543 573900724 717375905 860851086 1147801448 1291276629 1434751810 1721702172 2152127715 2295602896 2582553258 2869503620 3443404344 4304255430 5165106516 5739007240 6456383145 6886808688 8608510860 10330213032 11478014480 12912766290 17217021720 20660426064 25825532580 34434043440 51651065160 103302130320