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10120304100 = 22352186118127
BaseRepresentation
bin10010110110011011…
…11001010111100100
3222010022010201022210
421123031321113210
5131211244212400
64352121123420
7505535110524
oct113315712744
928108121283
1010120304100
114323714295
121b65329570
13c538bc92a
146c011b684
153e3723950
hex25b3795e4

10120304100 has 72 divisors (see below), whose sum is σ = 29298763648. Its totient is φ = 2697148800.

The previous prime is 10120304081. The next prime is 10120304101. The reversal of 10120304100 is 140302101.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (10120304101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549237 + ... + 567363.

Almost surely, 210120304100 is an apocalyptic number.

10120304100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120304100 is an abundant number, since it is smaller than the sum of its proper divisors (19178459548).

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

10120304100 is a wasteful number, since it uses less digits than its factorization.

10120304100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20005 (or 19998 counting only the distinct ones).

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

Adding to 10120304100 its reverse (140302101), we get a palindrome (10260606201).

The spelling of 10120304100 in words is "ten billion, one hundred twenty million, three hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1861 3722 5583 7444 9305 11166 18127 18610 22332 27915 36254 37220 46525 54381 55830 72508 90635 93050 108762 111660 139575 181270 186100 217524 271905 279150 362540 453175 543810 558300 906350 1087620 1359525 1812700 2719050 5438100 33734347 67468694 101203041 134937388 168671735 202406082 337343470 404812164 506015205 674686940 843358675 1012030410 1686717350 2024060820 2530076025 3373434700 5060152050 10120304100