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100012011200090 = 251144313011577533
BaseRepresentation
bin10110101111010111011100…
…011001101001111001011010
3111010010001111000111201021022
4112233113130121221321122
5101102044044331400330
6552412514512242442
730031425604514303
oct2657273431517132
9433101430451238
10100012011200090
1129959946018620
12b272bb8240422
1343a61276cc632
141a9a8701077aa
15b8681e003ae5
hex5af5dc669e5a

100012011200090 has 64 divisors (see below), whose sum is σ = 196981950598272. Its totient is φ = 36257995488000.

The previous prime is 100012011200089. The next prime is 100012011200161. The reversal of 100012011200090 is 90002110210001.

It is a super-3 number, since 3×1000120112000903 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62608964 + ... + 64186496.

It is an arithmetic number, because the mean of its divisors is an integer number (3077842978098).

Almost surely, 2100012011200090 is an apocalyptic number.

100012011200090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100012011200090 is a deficient number, since it is larger than the sum of its proper divisors (96969939398182).

100012011200090 is a wasteful number, since it uses less digits than its factorization.

100012011200090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579295.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 100012011200090 its reverse (90002110210001), we get a palindrome (190014121410091).

The spelling of 100012011200090 in words is "one hundred trillion, twelve billion, eleven million, two hundred thousand, ninety".

Divisors: 1 2 5 10 11 22 55 110 443 886 1301 2215 2602 4430 4873 6505 9746 13010 14311 24365 28622 48730 71555 143110 576343 1152686 1577533 2881715 3155066 5763430 6339773 7887665 12679546 15775330 17352863 31698865 34705726 63397730 86764315 173528630 698847119 1397694238 2052370433 3494235595 4104740866 6988471190 7687318309 10261852165 15374636618 20523704330 22576074763 38436591545 45152149526 76873183090 112880373815 225760747630 909200101819 1818400203638 4546000509095 9092001018190 10001201120009 20002402240018 50006005600045 100012011200090