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10123234000 = 245311460147
BaseRepresentation
bin10010110110110010…
…00100101011010000
3222010111122120101121
421123121010223100
5131213021442000
64352304012024
7505602032515
oct113331045320
928114576347
1010123234000
1143253355a0
121b66301014
13c543a73b9
146c068130c
153e3b01b1a
hex25b644ad0

10123234000 has 80 divisors (see below), whose sum is σ = 26703308736. Its totient is φ = 3681168000.

The previous prime is 10123233977. The next prime is 10123234013. The reversal of 10123234000 is 43232101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 208074 + ... + 252073.

Almost surely, 210123234000 is an apocalyptic number.

10123234000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123234000 is an abundant number, since it is smaller than the sum of its proper divisors (16580074736).

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

10123234000 is a wasteful number, since it uses less digits than its factorization.

10123234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460181 (or 460165 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10123234000 its reverse (43232101), we get a palindrome (10166466101).

The spelling of 10123234000 in words is "ten billion, one hundred twenty-three million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 460147 920294 1840588 2300735 3681176 4601470 5061617 7362352 9202940 10123234 11503675 18405880 20246468 23007350 25308085 36811760 40492936 46014700 50616170 57518375 80985872 92029400 101232340 115036750 126540425 184058800 202464680 230073500 253080850 404929360 460147000 506161700 632702125 920294000 1012323400 1265404250 2024646800 2530808500 5061617000 10123234000