Search a number
-
+
23117171163000 = 2335341187944481
BaseRepresentation
bin1010100000110011000101…
…10001100111111101111000
310000211222110101221120202120
411100121202301213331320
511012222431304204000
6121055514250201240
74604106023520135
oct520314261477570
9100758411846676
1023117171163000
117402a34504812
122714319a23220
13cb8c2ac15245
1459cc3c8cb58c
152a14e604b6a0
hex150662c67f78

23117171163000 has 128 divisors (see below), whose sum is σ = 73884734763840. Its totient is φ = 6014223360000.

The previous prime is 23117171162999. The next prime is 23117171163001. The reversal of 23117171163000 is 36117171132.

It is an interprime number because it is at equal distance from previous prime (23117171162999) and next prime (23117171163001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23117171163001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93849241 + ... + 94095240.

Almost surely, 223117171163000 is an apocalyptic number.

23117171163000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23117171163000 is an abundant number, since it is smaller than the sum of its proper divisors (50767563600840).

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

23117171163000 is a wasteful number, since it uses less digits than its factorization.

23117171163000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187944546 (or 187944532 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The spelling of 23117171163000 in words is "twenty-three trillion, one hundred seventeen billion, one hundred seventy-one million, one hundred sixty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 125 150 164 200 205 246 250 300 328 375 410 492 500 600 615 750 820 984 1000 1025 1230 1500 1640 2050 2460 3000 3075 4100 4920 5125 6150 8200 10250 12300 15375 20500 24600 30750 41000 61500 123000 187944481 375888962 563833443 751777924 939722405 1127666886 1503555848 1879444810 2255333772 2819167215 3758889620 4510667544 4698612025 5638334430 7517779240 7705723721 9397224050 11276668860 14095836075 15411447442 18794448100 22553337720 23117171163 23493060125 28191672150 30822894884 37588896200 38528618605 46234342326 46986120250 56383344300 61645789768 70479180375 77057237210 92468684652 93972240500 112766688600 115585855815 140958360750 154114474420 184937369304 187944481000 192643093025 231171711630 281916721500 308228948840 385286186050 462343423260 563833443000 577929279075 770572372100 924686846520 963215465125 1155858558150 1541144744200 1926430930250 2311717116300 2889646395375 3852861860500 4623434232600 5779292790750 7705723721000 11558585581500 23117171163000