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23011110123000 = 2335312496141209
BaseRepresentation
bin1010011101101101100010…
…00010110111010111111000
310000110211200211101111200220
411032312301002313113320
511004003223142414000
6120535054050100040
74563332521535106
oct516666102672770
9100424624344626
1023011110123000
117371a5884764a
1226b785a27a620
13cabc277b75cc
14597a5a8ccc76
1529d889b6d1a0
hex14edb10b75f8

23011110123000 has 128 divisors (see below), whose sum is σ = 71852157000000. Its totient is φ = 6131382067200.

The previous prime is 23011110122983. The next prime is 23011110123013. The reversal of 23011110123000 is 32101111032.

It is a happy number.

It is a super-2 number, since 2×230111101230002 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 676396 + ... + 6817604.

Almost surely, 223011110123000 is an apocalyptic number.

23011110123000 is a gapful number since it is divisible by the number (20) 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 23011110123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35926078500000).

23011110123000 is an abundant number, since it is smaller than the sum of its proper divisors (48841046877000).

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

23011110123000 is a wasteful number, since it uses less digits than its factorization.

23011110123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6142482 (or 6142468 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 23011110123000 its reverse (32101111032), we get a palindrome (23043211234032).

The spelling of 23011110123000 in words is "twenty-three trillion, eleven billion, one hundred ten million, one hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1249 1500 2498 3000 3747 4996 6245 7494 9992 12490 14988 18735 24980 29976 31225 37470 49960 62450 74940 93675 124900 149880 156125 187350 249800 312250 374700 468375 624500 749400 936750 1249000 1873500 3747000 6141209 12282418 18423627 24564836 30706045 36847254 49129672 61412090 73694508 92118135 122824180 147389016 153530225 184236270 245648360 307060450 368472540 460590675 614120900 736945080 767651125 921181350 1228241800 1535302250 1842362700 2302953375 3070604500 3684725400 4605906750 6141209000 7670370041 9211813500 15340740082 18423627000 23011110123 30681480164 38351850205 46022220246 61362960328 76703700410 92044440492 115055550615 153407400820 184088880984 191759251025 230111101230 306814801640 383518502050 460222202460 575277753075 767037004100 920444404920 958796255125 1150555506150 1534074008200 1917592510250 2301111012300 2876388765375 3835185020500 4602222024600 5752777530750 7670370041000 11505555061500 23011110123000