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10101023400 = 23352131295003
BaseRepresentation
bin10010110100001000…
…10110001010101000
3222001221212011011210
421122010112022220
5131141330222100
64350151553120
7505212165546
oct113204261250
928057764153
1010101023400
114313845426
121b5a98b7a0
13c4c8cba30
146bb73cd96
153e1bb5c50
hex25a1162a8

10101023400 has 96 divisors (see below), whose sum is σ = 33721904160. Its totient is φ = 2486403840.

The previous prime is 10101023389. The next prime is 10101023423. The reversal of 10101023400 is 432010101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 639702 + ... + 655301.

It is an arithmetic number, because the mean of its divisors is an integer number (351269835).

Almost surely, 210101023400 is an apocalyptic number.

10101023400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101023400 is an abundant number, since it is smaller than the sum of its proper divisors (23620880760).

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

10101023400 is a wasteful number, since it uses less digits than its factorization.

10101023400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295035 (or 1295026 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10101023400 its reverse (432010101), we get a palindrome (10533033501).

The spelling of 10101023400 in words is "ten billion, one hundred one million, twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 1295003 2590006 3885009 5180012 6475015 7770018 10360024 12950030 15540036 16835039 19425045 25900060 31080072 32375075 33670078 38850090 50505117 51800120 64750150 67340156 77700180 84175195 97125225 101010234 129500300 134680312 155400360 168350390 194250450 202020468 252525585 259000600 336700780 388500900 404040936 420875975 505051170 673401560 777001800 841751950 1010102340 1262627925 1683503900 2020204680 2525255850 3367007800 5050511700 10101023400