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100220020101012 = 22374331189216741
BaseRepresentation
bin10110110010011001001010…
…101100101000111110010100
3111010211221101111221201102210
4112302121022230220332110
5101114001100121213022
6553052235221033420
730052441345142550
oct2662311254507624
9433757344851383
10100220020101012
1129a2a0876865a9
12b2a7389b55870
1343bc92705a126
141aa6963b2c860
15b8be45630a0c
hex5b264ab28f94

100220020101012 has 96 divisors (see below), whose sum is σ = 274347905255424. Its totient is φ = 27878446915200.

The previous prime is 100220020100989. The next prime is 100220020101109. The reversal of 100220020101012 is 210101020022001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43485039 + ... + 45731702.

It is an arithmetic number, because the mean of its divisors is an integer number (2857790679744).

Almost surely, 2100220020101012 is an apocalyptic number.

100220020101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100220020101012 is an abundant number, since it is smaller than the sum of its proper divisors (174127885154412).

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

100220020101012 is a wasteful number, since it uses less digits than its factorization.

100220020101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89217109 (or 89217107 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100220020101012 its reverse (210101020022001), we get a palindrome (310321040123013).

The spelling of 100220020101012 in words is "one hundred trillion, two hundred twenty billion, twenty million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 311 516 602 622 903 933 1204 1244 1806 1866 2177 3612 3732 4354 6531 8708 13062 13373 26124 26746 40119 53492 80238 93611 160476 187222 280833 374444 561666 1123332 89216741 178433482 267650223 356866964 535300446 624517187 1070600892 1249034374 1873551561 2498068748 3747103122 3836319863 7494206244 7672639726 11508959589 15345279452 23017919178 26854239041 27746406451 46035838356 53708478082 55492812902 80562717123 83239219353 107416956164 110985625804 161125434246 166478438706 194224845157 322250868492 332956877412 388449690314 582674535471 776899380628 1165349070942 1193095477393 2330698141884 2386190954786 3579286432179 4772381909572 7158572864358 8351668341751 14317145728716 16703336683502 25055005025253 33406673367004 50110010050506 100220020101012