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100122012020220 = 22355928399940121
BaseRepresentation
bin10110110000111101111000…
…111101011110110111111100
3111010111120102011110100122120
4112300331320331132313330
5101110344340034121340
6552535230051442540
730042401536201641
oct2660757075366774
9433446364410576
10100122012020220
11299a1563678923
12b2903972b6450
1343b3608125908
141aa1d07461dc8
15b8960b20e4d0
hex5b0f78f5edfc

100122012020220 has 96 divisors (see below), whose sum is σ = 286100586051840. Its totient is φ = 26153929643520.

The previous prime is 100122012020089. The next prime is 100122012020221. The reversal of 100122012020220 is 22020210221001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100122012020220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122012020221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48968241 + ... + 50971880.

It is an arithmetic number, because the mean of its divisors is an integer number (2980214438040).

Almost surely, 2100122012020220 is an apocalyptic number.

100122012020220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122012020220 is an abundant number, since it is smaller than the sum of its proper divisors (185978574031620).

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

100122012020220 is a wasteful number, since it uses less digits than its factorization.

100122012020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99940475 (or 99940473 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100122012020220 its reverse (22020210221001), we get a palindrome (122142222241221).

The spelling of 100122012020220 in words is "one hundred trillion, one hundred twenty-two billion, twelve million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 283 295 354 566 590 708 849 885 1132 1180 1415 1698 1770 2830 3396 3540 4245 5660 8490 16697 16980 33394 50091 66788 83485 100182 166970 200364 250455 333940 500910 1001820 99940121 199880242 299820363 399760484 499700605 599640726 999401210 1199281452 1499101815 1998802420 2998203630 5896467139 5996407260 11792934278 17689401417 23585868556 28283054243 29482335695 35378802834 56566108486 58964671390 70757605668 84849162729 88447007085 113132216972 117929342780 141415271215 169698325458 176894014170 282830542430 339396650916 353788028340 424245813645 565661084860 848491627290 1668700200337 1696983254580 3337400400674 5006100601011 6674800801348 8343501001685 10012201202022 16687002003370 20024402404044 25030503005055 33374004006740 50061006010110 100122012020220