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20040149100 = 223521716324107
BaseRepresentation
bin10010101010011111…
…000110100001101100
31220201122002001110110
4102222133012201230
5312020234232400
613112321540020
71306420312446
oct225237064154
956648061413
1020040149100
1185541616a4
123a734a4610
131b74ac42ba
14d81777496
157c454be50
hex4aa7c686c

20040149100 has 144 divisors (see below), whose sum is σ = 61772796288. Its totient is φ = 4998620160.

The previous prime is 20040149081. The next prime is 20040149119. The reversal of 20040149100 is 194104002.

It is an interprime number because it is at equal distance from previous prime (20040149081) and next prime (20040149119).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 819247 + ... + 843353.

It is an arithmetic number, because the mean of its divisors is an integer number (428977752).

Almost surely, 220040149100 is an apocalyptic number.

20040149100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20040149100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30886398144).

20040149100 is an abundant number, since it is smaller than the sum of its proper divisors (41732647188).

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

20040149100 is a wasteful number, since it uses less digits than its factorization.

20040149100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24304 (or 24297 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 20040149100 in words is "twenty billion, forty million, one hundred forty-nine thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 163 170 204 255 300 326 340 425 489 510 652 815 850 978 1020 1275 1630 1700 1956 2445 2550 2771 3260 4075 4890 5100 5542 8150 8313 9780 11084 12225 13855 16300 16626 24107 24450 27710 33252 41565 48214 48900 55420 69275 72321 83130 96428 120535 138550 144642 166260 207825 241070 277100 289284 361605 409819 415650 482140 602675 723210 819638 831300 1205350 1229457 1446420 1639276 1808025 2049095 2410700 2458914 3616050 3929441 4098190 4917828 6147285 7232100 7858882 8196380 10245475 11788323 12294570 15717764 19647205 20490950 23576646 24589140 30736425 39294410 40981900 47153292 58941615 61472850 66800497 78588820 98236025 117883230 122945700 133600994 196472050 200401491 235766460 267201988 294708075 334002485 392944100 400802982 589416150 668004970 801605964 1002007455 1178832300 1336009940 1670012425 2004014910 3340024850 4008029820 5010037275 6680049700 10020074550 20040149100