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1013442432135 = 357217924173187
BaseRepresentation
bin11101011111101011110…
…00000100110010000111
310120212212112201201201220
432233311320010302013
5113101012230312020
62053322524251423
7133135022353200
oct16576570046207
93525775651656
101013442432135
11360886918141
121444b39a0b73
137474b2176b3
143709d8605a7
151b56695e240
hexebf5e04c87

1013442432135 has 96 divisors (see below), whose sum is σ = 1898161724160. Its totient is φ = 460364663808.

The previous prime is 1013442432113. The next prime is 1013442432137. The reversal of 1013442432135 is 5312342443101.

It is not a de Polignac number, because 1013442432135 - 211 = 1013442430087 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013442432096 and 1013442432105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013442432137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 317991012 + ... + 317994198.

It is an arithmetic number, because the mean of its divisors is an integer number (19772517960).

Almost surely, 21013442432135 is an apocalyptic number.

1013442432135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1013442432135 is a deficient number, since it is larger than the sum of its proper divisors (884719292025).

1013442432135 is a wasteful number, since it uses less digits than its factorization.

1013442432135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5805 (or 5798 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 1013442432135 its reverse (5312342443101), we get a palindrome (6325784875236).

The spelling of 1013442432135 in words is "one trillion, thirteen billion, four hundred forty-two million, four hundred thirty-two thousand, one hundred thirty-five".

Divisors: 1 3 5 7 15 21 35 49 105 147 179 245 537 735 895 1253 2417 2685 3187 3759 6265 7251 8771 9561 12085 15935 16919 18795 22309 26313 36255 43855 47805 50757 66927 84595 111545 118433 131565 156163 253785 334635 355299 432643 468489 570473 592165 780815 1297929 1711419 1776495 2163215 2342445 2852365 3028501 3993311 6489645 7702979 8557095 9085503 11979933 15142505 19966555 21199507 23108937 27953177 38514895 45427515 53920853 59899665 63598521 83859531 105997535 115544685 139765885 161762559 269604265 317992605 377445971 419297655 808812795 1132337913 1378833241 1887229855 4136499723 5661689565 6894166205 9651832687 20682498615 28955498061 48259163435 67562828809 144777490305 202688486427 337814144045 1013442432135