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23034022131000 = 2335312760456751
BaseRepresentation
bin1010011110011000001101…
…01101001111010100111000
310000120000211121101002221210
411033030012231033110320
511004342134131143000
6120553403402003120
74565103353434206
oct517140655172470
9100500747332853
1023034022131000
117380745aa7351
1227001934a64a0
13cb11395787aa
14598bd1834076
1529e27b39b350
hex14f306b4f538

23034022131000 has 128 divisors (see below), whose sum is σ = 72432025436160. Its totient is φ = 6094040400000.

The previous prime is 23034022130953. The next prime is 23034022131007. The reversal of 23034022131000 is 13122043032.

It is a super-2 number, since 2×230340221310002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23034022131007) 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, 29847376 + ... + 30609375.

It is an arithmetic number, because the mean of its divisors is an integer number (565875198720).

Almost surely, 223034022131000 is an apocalyptic number.

23034022131000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23034022131000 is an abundant number, since it is smaller than the sum of its proper divisors (49398003305160).

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

23034022131000 is a wasteful number, since it uses less digits than its factorization.

23034022131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60456902 (or 60456888 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 23034022131000 its reverse (13122043032), we get a palindrome (23047144174032).

The spelling of 23034022131000 in words is "twenty-three trillion, thirty-four billion, twenty-two million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 127 150 200 250 254 300 375 381 500 508 600 635 750 762 1000 1016 1270 1500 1524 1905 2540 3000 3048 3175 3810 5080 6350 7620 9525 12700 15240 15875 19050 25400 31750 38100 47625 63500 76200 95250 127000 190500 381000 60456751 120913502 181370253 241827004 302283755 362740506 483654008 604567510 725481012 906851265 1209135020 1450962024 1511418775 1813702530 2418270040 3022837550 3627405060 4534256325 6045675100 7254810120 7557093875 7678007377 9068512650 12091350200 15114187750 15356014754 18137025300 22671281625 23034022131 30228375500 30712029508 36274050600 38390036885 45342563250 46068044262 60456751000 61424059016 76780073770 90685126500 92136088524 115170110655 153560147540 181370253000 184272177048 191950184425 230340221310 307120295080 383900368850 460680442620 575850553275 767800737700 921360885240 959750922125 1151701106550 1535601475400 1919501844250 2303402213100 2879252766375 3839003688500 4606804426200 5758505532750 7678007377000 11517011065500 23034022131000