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100023033000 = 23353113031001
BaseRepresentation
bin101110100100111010…
…1100101110010101000
3100120011202222112120210
41131021311211302220
53114321344024000
6113541104421120
710140443516052
oct1351165456250
9316152875523
10100023033000
1139468438140
12174756177a0
139580515537
144bac1388d2
152906289350
hex1749d65ca8

100023033000 has 128 divisors (see below), whose sum is σ = 340442144640. Its totient is φ = 24248000000.

The previous prime is 100023032969. The next prime is 100023033013. The reversal of 100023033000 is 330320001.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 1482501 + ... + 1548500.

It is an arithmetic number, because the mean of its divisors is an integer number (2659704255).

Almost surely, 2100023033000 is an apocalyptic number.

100023033000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100023033000 is an abundant number, since it is smaller than the sum of its proper divisors (240419111640).

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

100023033000 is a wasteful number, since it uses less digits than its factorization.

100023033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031036 (or 3031022 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 100023033000 its reverse (330320001), we get a palindrome (100353353001).

The spelling of 100023033000 in words is "one hundred billion, twenty-three million, thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 3031001 6062002 9093003 12124004 15155005 18186006 24248008 30310010 33341011 36372012 45465015 60620020 66682022 72744024 75775025 90930030 100023033 121240040 133364044 151550050 166705055 181860060 200046066 227325075 266728088 303100100 333410110 363720120 378875125 400092132 454650150 500115165 606200200 666820220 757750250 800184264 833525275 909300300 1000230330 1136625375 1333640440 1515500500 1667050550 1818600600 2000460660 2273250750 2500575825 3031001000 3334101100 4000921320 4167626375 4546501500 5001151650 6668202200 8335252750 9093003000 10002303300 12502879125 16670505500 20004606600 25005758250 33341011000 50011516500 100023033000