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10332242100 = 22325243266983
BaseRepresentation
bin10011001111101100…
…11000000010110100
3222200001221021121100
421213312120002310
5132130023221400
64425131450100
7514020415545
oct114766300264
928601837540
1010332242100
114422310464
1220042b6930
13c8879692b
1470032a4cc
1540713a100
hex267d980b4

10332242100 has 108 divisors (see below), whose sum is σ = 33139122016. Its totient is φ = 2691178560.

The previous prime is 10332242093. The next prime is 10332242149. The reversal of 10332242100 is 124223301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94792 + ... + 172191.

Almost surely, 210332242100 is an apocalyptic number.

10332242100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10332242100 is an abundant number, since it is smaller than the sum of its proper divisors (22806879916).

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

10332242100 is a wasteful number, since it uses less digits than its factorization.

10332242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267046 (or 267036 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10332242100 its reverse (124223301), we get a palindrome (10456465401).

The spelling of 10332242100 in words is "ten billion, three hundred thirty-two million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 43 45 50 60 75 86 90 100 129 150 172 180 215 225 258 300 387 430 450 516 645 774 860 900 1075 1290 1548 1935 2150 2580 3225 3870 4300 6450 7740 9675 12900 19350 38700 266983 533966 800949 1067932 1334915 1601898 2402847 2669830 3203796 4004745 4805694 5339660 6674575 8009490 9611388 11480269 12014235 13349150 16018980 20023725 22960538 24028470 26698300 34440807 40047450 45921076 48056940 57401345 60071175 68881614 80094900 103322421 114802690 120142350 137763228 172204035 206644842 229605380 240284700 287006725 344408070 413289684 516612105 574013450 688816140 861020175 1033224210 1148026900 1722040350 2066448420 2583060525 3444080700 5166121050 10332242100