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10133120130 = 2357217405487
BaseRepresentation
bin10010110111111101…
…10010010010000010
3222011012020211121120
421123332302102002
5131223034321010
64353255533110
7506052046200
oct113376622202
928135224546
1010133120130
11432a978151
121b6968a196
13c56459193
146c1ad6070
153e4905e70
hex25bfb2482

10133120130 has 96 divisors (see below), whose sum is σ = 29954209536. Its totient is φ = 2179892736.

The previous prime is 10133120117. The next prime is 10133120161. The reversal of 10133120130 is 3102133101.

10133120130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101331201302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177754 + ... + 227733.

It is an arithmetic number, because the mean of its divisors is an integer number (312023016).

Almost surely, 210133120130 is an apocalyptic number.

10133120130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10133120130 is an abundant number, since it is smaller than the sum of its proper divisors (19821089406).

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

10133120130 is a wasteful number, since it uses less digits than its factorization.

10133120130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405528 (or 405521 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10133120130 its reverse (3102133101), we get a palindrome (13235253231).

The spelling of 10133120130 in words is "ten billion, one hundred thirty-three million, one hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 49 51 70 85 98 102 105 119 147 170 210 238 245 255 294 357 490 510 595 714 735 833 1190 1470 1666 1785 2499 3570 4165 4998 8330 12495 24990 405487 810974 1216461 2027435 2432922 2838409 4054870 5676818 6082305 6893279 8515227 12164610 13786558 14192045 17030454 19868863 20679837 28384090 34466395 39737726 41359674 42576135 48252953 59606589 68932790 85152270 96505906 99344315 103399185 119213178 144758859 198688630 206798370 241264765 289517718 298032945 337770671 482529530 596065890 675541342 723794295 1013312013 1447588590 1688853355 2026624026 3377706710 5066560065 10133120130