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101132021100 = 223521130646067
BaseRepresentation
bin101111000101111110…
…0000010110101101100
3100200001001201222021010
41132023330002311230
53124104244133400
6114243122105220
710210100665365
oct1361374026554
9320031658233
10101132021100
1139987431330
1217724aab210
1396c91c2306
144c75536b6c
15296d7e8450
hex178bf02d6c

101132021100 has 72 divisors (see below), whose sum is σ = 319209444288. Its totient is φ = 24516852800.

The previous prime is 101132021099. The next prime is 101132021113. The reversal of 101132021100 is 1120231101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15319734 + ... + 15326333.

It is an arithmetic number, because the mean of its divisors is an integer number (4433464504).

Almost surely, 2101132021100 is an apocalyptic number.

101132021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101132021100 is an abundant number, since it is smaller than the sum of its proper divisors (218077423188).

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

101132021100 is a wasteful number, since it uses less digits than its factorization.

101132021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30646095 (or 30646088 counting only the distinct ones).

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

Adding to 101132021100 its reverse (1120231101), we get a palindrome (102252252201).

The spelling of 101132021100 in words is "one hundred one billion, one hundred thirty-two million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 30646067 61292134 91938201 122584268 153230335 183876402 306460670 337106737 367752804 459691005 612921340 674213474 766151675 919382010 1011320211 1348426948 1532303350 1685533685 1838764020 2022640422 2298455025 3064606700 3371067370 4045280844 4596910050 5056601055 6742134740 8427668425 9193820100 10113202110 16855336850 20226404220 25283005275 33710673700 50566010550 101132021100