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10133007030 = 2325972115501
BaseRepresentation
bin10010110111111100…
…10110101010110110
3222011012001002110200
421123332112222312
5131223022211110
64353253301330
7506051065356
oct113376265266
928135032420
1010133007030
11432a900183
121b69634846
13c56419863
146c1aa6b66
153e48d26c0
hex25bf96ab6

10133007030 has 96 divisors (see below), whose sum is σ = 26748435168. Its totient is φ = 2661120000.

The previous prime is 10133007023. The next prime is 10133007113. The reversal of 10133007030 is 3070033101.

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 = 10133006994 and 10133007012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1839280 + ... + 1844780.

It is an arithmetic number, because the mean of its divisors is an integer number (278629533).

Almost surely, 210133007030 is an apocalyptic number.

10133007030 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 10133007030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13374217584).

10133007030 is an abundant number, since it is smaller than the sum of its proper divisors (16615428138).

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

10133007030 is a wasteful number, since it uses less digits than its factorization.

10133007030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5822 (or 5819 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 18.

The spelling of 10133007030 in words is "ten billion, one hundred thirty-three million, seven thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 211 291 422 485 582 633 873 970 1055 1266 1455 1746 1899 2110 2910 3165 3798 4365 5501 6330 8730 9495 11002 16503 18990 20467 27505 33006 40934 49509 55010 61401 82515 99018 102335 122802 165030 184203 204670 247545 307005 368406 495090 533597 614010 921015 1067194 1160711 1600791 1842030 2321422 2667985 3201582 3482133 4802373 5335970 5803555 6964266 8003955 9604746 10446399 11607110 16007910 17410665 20892798 24011865 34821330 48023730 52231995 104463990 112588967 225177934 337766901 562944835 675533802 1013300703 1125889670 1688834505 2026601406 3377669010 5066503515 10133007030