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3013890435135 = 32517173223102121
BaseRepresentation
bin101011110110111001110…
…111100110100000111111
3101200010101012120111021200
4223312321313212200333
5343334421422411020
610224321231430543
7430514005002366
oct53667167464077
911603335514250
103013890435135
11a62202640238
12408141985453
1318b2935297a8
14a5c31a0c7dd
15535e8e33590
hex2bdb9de683f

3013890435135 has 96 divisors (see below), whose sum is σ = 5588351129088. Its totient is φ = 1497350430720.

The previous prime is 3013890435113. The next prime is 3013890435187. The reversal of 3013890435135 is 5315340983103.

3013890435135 is a `hidden beast` number, since 3 + 0 + 1 + 3 + 8 + 90 + 43 + 513 + 5 = 666.

It is a Cunningham number, because it is equal to 17360562-1.

It is not a de Polignac number, because 3013890435135 - 25 = 3013890435103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29461875 + ... + 29563995.

It is an arithmetic number, because the mean of its divisors is an integer number (58211990928).

Almost surely, 23013890435135 is an apocalyptic number.

3013890435135 is a deficient number, since it is larger than the sum of its proper divisors (2574460693953).

3013890435135 is a wasteful number, since it uses less digits than its factorization.

3013890435135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102545 (or 102542 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 3013890435135 in words is "three trillion, thirteen billion, eight hundred ninety million, four hundred thirty-five thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 173 223 255 519 669 765 865 1115 1557 2007 2595 2941 3345 3791 7785 8823 10035 11373 14705 18955 26469 34119 38579 44115 56865 102121 115737 132345 170595 192895 306363 347211 510605 578685 655843 919089 1531815 1736055 1736057 1967529 3279215 4595445 5208171 5902587 8680285 9837645 15624513 17666933 22772983 26040855 29512935 53000799 68318949 78122565 88334665 113864915 159002397 204956847 265003995 300337861 341594745 387140711 795011985 901013583 1024784235 1161422133 1501689305 1935703555 2703040749 3484266399 3939726059 4505067915 5807110665 11819178177 13515203745 17421331995 19698630295 35457534531 59095890885 66975343003 177287672655 200926029009 334876715015 602778087027 1004630145045 3013890435135