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23011313232000 = 27353479402359
BaseRepresentation
bin1010011101101101111010…
…01001101010100010000000
310000110212012222120111212110
411032312331021222202000
511004004132141411000
6120535130143255320
74563340536121452
oct516667511524200
9100425188514773
1023011313232000
117372052463425
1226b78b62aa540
13cabc5a8bca52
14597a798802d2
1529d89c8dd850
hex14edbd26a880

23011313232000 has 128 divisors (see below), whose sum is σ = 76282503523200. Its totient is φ = 6136350182400.

The previous prime is 23011313231999. The next prime is 23011313232043. The reversal of 23011313232000 is 23231311032.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×230113132320002 (a number of 28 digits) contains 22 as substring.

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, 239653180 + ... + 239749179.

It is an arithmetic number, because the mean of its divisors is an integer number (595957058775).

Almost surely, 223011313232000 is an apocalyptic number.

23011313232000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23011313232000 is an abundant number, since it is smaller than the sum of its proper divisors (53271190291200).

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

23011313232000 is an equidigital number, since it uses as much as digits as its factorization.

23011313232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479402391 (or 479402369 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 23011313232000 its reverse (23231311032), we get a palindrome (23034544543032).

The spelling of 23011313232000 in words is "twenty-three trillion, eleven billion, three hundred thirteen million, two hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000 479402359 958804718 1438207077 1917609436 2397011795 2876414154 3835218872 4794023590 5752828308 7191035385 7670437744 9588047180 11505656616 11985058975 14382070770 15340875488 19176094360 23011313232 23970117950 28764141540 30681750976 35955176925 38352188720 46022626464 47940235900 57528283080 59925294875 61363501952 71910353850 76704377440 92045252928 95880471800 115056566160 119850589750 143820707700 153408754880 179775884625 184090505856 191760943600 230113132320 239701179500 287641415400 306817509760 359551769250 383521887200 460226264640 479402359000 575282830800 719103538500 767043774400 920452529280 958804718000 1150565661600 1438207077000 1534087548800 1917609436000 2301131323200 2876414154000 3835218872000 4602262646400 5752828308000 7670437744000 11505656616000 23011313232000