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10121045130 = 2325727159281
BaseRepresentation
bin10010110110100001…
…01110010010001010
3222010100112100211100
421123100232102022
5131211441421010
64352145042230
7505544315130
oct113320562212
928110470740
1010121045130
114324080009
121b65626376
13c53abc001
146c0271750
153e381d2c0
hex25b42e48a

10121045130 has 96 divisors (see below), whose sum is σ = 30185445888. Its totient is φ = 2304806400.

The previous prime is 10121045117. The next prime is 10121045159. The reversal of 10121045130 is 3154012101.

10121045130 is a `hidden beast` number, since 1 + 0 + 1 + 210 + 451 + 3 + 0 = 666.

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

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, 141090 + ... + 200370.

It is an arithmetic number, because the mean of its divisors is an integer number (314431728).

Almost surely, 210121045130 is an apocalyptic number.

10121045130 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 10121045130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15092722944).

10121045130 is an abundant number, since it is smaller than the sum of its proper divisors (20064400758).

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

10121045130 is a wasteful number, since it uses less digits than its factorization.

10121045130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59572 (or 59569 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10121045130 its reverse (3154012101), we get a palindrome (13275057231).

The spelling of 10121045130 in words is "ten billion, one hundred twenty-one million, forty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 271 315 542 630 813 1355 1626 1897 2439 2710 3794 4065 4878 5691 8130 9485 11382 12195 17073 18970 24390 28455 34146 56910 59281 85365 118562 170730 177843 296405 355686 414967 533529 592810 829934 889215 1067058 1244901 1778430 2074835 2489802 2667645 3734703 4149670 5335290 6224505 7469406 12449010 16065151 18673515 32130302 37347030 48195453 80325755 96390906 112456057 144586359 160651510 224912114 240977265 289172718 337368171 481954530 562280285 674736342 722931795 1012104513 1124560570 1445863590 1686840855 2024209026 3373681710 5060522565 10121045130