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103213031130 = 232511195153437
BaseRepresentation
bin110000000011111111…
…0011101111011011010
3100212102002112020100200
41200013332131323122
53142340013444010
6115225421243030
710312500201126
oct1400776357332
9325362466320
10103213031130
113a855079a30
1218005a03476
13996b3916b1
144dd1a7c586
152a4135dcc0
hex1807f9deda

103213031130 has 96 divisors (see below), whose sum is σ = 292905220608. Its totient is φ = 25008048000.

The previous prime is 103213031111. The next prime is 103213031137. The reversal of 103213031130 is 31130312301.

It is a happy number.

103213031130 is a `hidden beast` number, since 1 + 0 + 321 + 3 + 0 + 311 + 30 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (103213031137) 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, 1904772 + ... + 1958208.

It is an arithmetic number, because the mean of its divisors is an integer number (3051096048).

Almost surely, 2103213031130 is an apocalyptic number.

103213031130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103213031130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146452610304).

103213031130 is an abundant number, since it is smaller than the sum of its proper divisors (189692189478).

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

103213031130 is a wasteful number, since it uses less digits than its factorization.

103213031130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55412 (or 55409 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103213031130 its reverse (31130312301), we get a palindrome (134343343431).

The spelling of 103213031130 in words is "one hundred three billion, two hundred thirteen million, thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1951 3902 5853 9755 11706 17559 19510 21461 29265 35118 42922 53437 58530 64383 87795 106874 107305 128766 160311 175590 193149 214610 267185 320622 321915 386298 480933 534370 587807 643830 801555 961866 965745 1175614 1603110 1763421 1931490 2404665 2939035 3526842 4809330 5290263 5878070 8817105 10580526 17634210 26451315 52902630 104255587 208511174 312766761 521277935 625533522 938300283 1042555870 1146811457 1563833805 1876600566 2293622914 3127667610 3440434371 4691501415 5734057285 6880868742 9383002830 10321303113 11468114570 17202171855 20642606226 34404343710 51606515565 103213031130