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10334000100 = 2235237930991
BaseRepresentation
bin10011001111111010…
…00101001111100100
3222200012020121010110
421213331011033210
5132131001000400
64425233253020
7514041360114
oct114775051744
928605217113
1010334000100
114423301256
122004a04170
13c88c60b78
14700667044
15407385e50
hex267f453e4

10334000100 has 72 divisors (see below), whose sum is σ = 30707840128. Its totient is φ = 2681251200.

The previous prime is 10334000059. The next prime is 10334000123. The reversal of 10334000100 is 100043301.

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454396 + ... + 476595.

Almost surely, 210334000100 is an apocalyptic number.

10334000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10334000100 is an abundant number, since it is smaller than the sum of its proper divisors (20373840028).

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

10334000100 is a wasteful number, since it uses less digits than its factorization.

10334000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931045 (or 931038 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10334000100 its reverse (100043301), we get a palindrome (10434043401).

The spelling of 10334000100 in words is "ten billion, three hundred thirty-four million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 930991 1861982 2792973 3723964 4654955 5585946 9309910 11171892 13964865 18619820 23274775 27929730 34446667 46549550 55859460 68893334 69824325 93099100 103340001 137786668 139648650 172233335 206680002 279297300 344466670 413360004 516700005 688933340 861166675 1033400010 1722333350 2066800020 2583500025 3444666700 5167000050 10334000100