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15130745100 = 223252112914891
BaseRepresentation
bin11100001011101110…
…01101100100001100
31110001111011111020200
432011313031210030
5221441432320400
610541224213500
71043645132322
oct160567154414
943044144220
1015130745100
116464a02819
122b2330a290
131571965a13
14a37739d12
155d853db00
hex385dcd90c

15130745100 has 108 divisors (see below), whose sum is σ = 47471675160. Its totient is φ = 4031020800.

The previous prime is 15130745053. The next prime is 15130745129. The reversal of 15130745100 is 154703151.

15130745100 is a `hidden beast` number, since 1 + 51 + 30 + 74 + 510 + 0 = 666.

15130745100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 1008655 + ... + 1023545.

Almost surely, 215130745100 is an apocalyptic number.

15130745100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15130745100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23735837580).

15130745100 is an abundant number, since it is smaller than the sum of its proper divisors (32340930060).

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

15130745100 is a wasteful number, since it uses less digits than its factorization.

15130745100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16040 (or 16030 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 15130745100 in words is "fifteen billion, one hundred thirty million, seven hundred forty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1129 2258 3387 4516 5645 6774 10161 11290 13548 14891 16935 20322 22580 28225 29782 33870 40644 44673 50805 56450 59564 67740 74455 84675 89346 101610 112900 134019 148910 169350 178692 203220 223365 254025 268038 297820 338700 372275 446730 508050 536076 670095 744550 893460 1016100 1116825 1340190 1489100 2233650 2680380 3350475 4467300 6700950 13401900 16811939 33623878 50435817 67247756 84059695 100871634 151307451 168119390 201743268 252179085 302614902 336238780 420298475 504358170 605229804 756537255 840596950 1008716340 1260895425 1513074510 1681193900 2521790850 3026149020 3782686275 5043581700 7565372550 15130745100