Search a number
-
+
100121221222200 = 23335218540966893
BaseRepresentation
bin10110110000111101001001…
…110100110100111100111000
3111010111111101001102122201000
4112300331021310310330320
5101110341230113102300
6552535015402125000
730042343124422233
oct2660751164647470
9433444331378630
10100121221222200
11299a1198252642
12b2901b64b0760
1343b35103452a9
141aa1c7041041a
15b895b1aa3c00
hex5b0f49d34f38

100121221222200 has 96 divisors (see below), whose sum is σ = 344861984228400. Its totient is φ = 26698992324480.

The previous prime is 100121221222111. The next prime is 100121221222213. The reversal of 100121221222200 is 2222122121001.

It is a happy number.

100121221222200 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 21 + 221 + 222 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9270478047 + ... + 9270488846.

Almost surely, 2100121221222200 is an apocalyptic number.

100121221222200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121221222200 is an abundant number, since it is smaller than the sum of its proper divisors (244740763006200).

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

100121221222200 is a wasteful number, since it uses less digits than its factorization.

100121221222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18540966918 (or 18540966903 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100121221222200 its reverse (2222122121001), we get a palindrome (102343343343201).

The spelling of 100121221222200 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2700 5400 18540966893 37081933786 55622900679 74163867572 92704834465 111245801358 148327735144 166868702037 185409668930 222491602716 278114503395 333737404074 370819337860 444983205432 463524172325 500606106111 556229006790 667474808148 741638675720 834343510185 927048344650 1001212212222 1112458013580 1334949616296 1390572516975 1668687020370 1854096689300 2002424424444 2224916027160 2503030530555 2781145033950 3337374040740 3708193378600 4004848848888 4171717550925 5006061061110 5562290067900 6674748081480 8343435101850 10012122122220 11124580135800 12515152652775 16686870203700 20024244244440 25030305305550 33373740407400 50060610611100 100121221222200