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100122220020220 = 22519978669313333
BaseRepresentation
bin10110110000111110000101…
…010110111100000111111100
3111010111120221122211212000021
4112300332011112330013330
5101110400301311121340
6552535302441541524
730042406643155636
oct2660760526740774
9433446848755007
10100122220020220
11299a1660025352
12b290434aa48a4
1343b363c251338
141aa1d26d27a56
15b8961e5e8e4a
hex5b0f855bc1fc

100122220020220 has 96 divisors (see below), whose sum is σ = 223630987809600. Its totient is φ = 37545455591424.

The previous prime is 100122220020187. The next prime is 100122220020233. The reversal of 100122220020220 is 22020022221001.

It is a junction number, because it is equal to n+sod(n) for n = 100122220020194 and 100122220020203.

It is a congruent number.

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, 319382674 + ... + 319696006.

It is an arithmetic number, because the mean of its divisors is an integer number (2329489456350).

Almost surely, 2100122220020220 is an apocalyptic number.

100122220020220 is a gapful number since it is divisible by the number (10) 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 100122220020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111815493904800).

100122220020220 is an abundant number, since it is smaller than the sum of its proper divisors (123508767789380).

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

100122220020220 is a wasteful number, since it uses less digits than its factorization.

100122220020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322127 (or 322125 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 100122220020220 its reverse (22020022221001), we get a palindrome (122142242241221).

The spelling of 100122220020220 in words is "one hundred trillion, one hundred twenty-two billion, two hundred twenty million, twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 97 190 194 380 388 485 970 1843 1940 3686 7372 8669 9215 17338 18430 34676 36860 43345 86690 164711 173380 313333 329422 626666 658844 823555 840893 1253332 1566665 1647110 1681786 3133330 3294220 3363572 4204465 5953327 6266660 8408930 11906654 15976967 16817860 23813308 29766635 30393301 31953934 59533270 60786602 63907868 79884835 119066540 121573204 151966505 159769670 303933010 319539340 577472719 607866020 1154945438 2309890876 2716283777 2887363595 5432567554 5774727190 10865135108 11549454380 13581418885 27162837770 51609391763 54325675540 103218783526 206437567052 258046958815 263479526369 516093917630 526959052738 1032187835260 1053918105476 1317397631845 2634795263690 5006111001011 5269590527380 10012222002022 20024444004044 25030555005055 50061110010110 100122220020220