Search a number
-
+
1013030013120 = 26353134039987
BaseRepresentation
bin11101011110111010100…
…10110100100011000000
310120211210210200200012120
432233131102310203000
5113044141140404440
62053213552524240
7133121554015326
oct16573522644300
93524723620176
101013030013120
1136069503a684
121443b9850680
13746b3948488
1437060b85d16
151b540645dd0
hexebdd4b48c0

1013030013120 has 112 divisors (see below), whose sum is σ = 3320124269568. Its totient is φ = 261427092480.

The previous prime is 1013030013101. The next prime is 1013030013131. The reversal of 1013030013120 is 213100303101.

1013030013120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1013030013120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16990234 + ... + 17049753.

Almost surely, 21013030013120 is an apocalyptic number.

1013030013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013030013120 is an abundant number, since it is smaller than the sum of its proper divisors (2307094256448).

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

1013030013120 is a wasteful number, since it uses less digits than its factorization.

1013030013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34040038 (or 34040028 counting only the distinct ones).

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

Adding to 1013030013120 its reverse (213100303101), we get a palindrome (1226130316221).

The spelling of 1013030013120 in words is "one trillion, thirteen billion, thirty million, thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 930 960 992 1240 1488 1860 1984 2480 2976 3720 4960 5952 7440 9920 14880 29760 34039987 68079974 102119961 136159948 170199935 204239922 272319896 340399870 408479844 510599805 544639792 680799740 816959688 1021199610 1055239597 1089279584 1361599480 1633919376 2042399220 2110479194 2178559168 2723198960 3165718791 3267838752 4084798440 4220958388 5276197985 5446397920 6331437582 6535677504 8169596880 8441916776 10552395970 10892795840 12662875164 15828593955 16339193760 16883833552 21104791940 25325750328 31657187910 32678387520 33767667104 42209583880 50651500656 63314375820 67535334208 84419167760 101303001312 126628751640 168838335520 202606002624 253257503280 337676671040 506515006560 1013030013120