Search a number
-
+
100110122122220 = 22572173590480843
BaseRepresentation
bin10110110000110010110100…
…010001000111101111101100
3111010110102201112111221211222
4112300302310101013233230
5101110201012230402340
6552525542154002512
730041501102553200
oct2660626421075754
9433412645457758
10100110122122220
1129997512088541
12b28a019416438
1343b2461a30a02
141aa14da304b00
15b8916248b8b5
hex5b0cb4447bec

100110122122220 has 72 divisors (see below), whose sum is σ = 245968338453264. Its totient is φ = 34125068820864.

The previous prime is 100110122122193. The next prime is 100110122122253. The reversal of 100110122122220 is 22221221011001.

It is a super-4 number, since 4×1001101221222204 (a number of 57 digits) contains 4444 as substring.

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, 295070882 + ... + 295409961.

It is an arithmetic number, because the mean of its divisors is an integer number (3416226922962).

Almost surely, 2100110122122220 is an apocalyptic number.

100110122122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110122122220 is an abundant number, since it is smaller than the sum of its proper divisors (145858216331044).

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

100110122122220 is a wasteful number, since it uses less digits than its factorization.

100110122122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590481039 (or 590481030 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100110122122220 its reverse (22221221011001), we get a palindrome (122331343133221).

The spelling of 100110122122220 in words is "one hundred trillion, one hundred ten billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 173 196 245 346 490 692 865 980 1211 1730 2422 3460 4844 6055 8477 12110 16954 24220 33908 42385 84770 169540 590480843 1180961686 2361923372 2952404215 4133365901 5904808430 8266731802 11809616860 16533463604 20666829505 28933561307 41333659010 57867122614 82667318020 102153185839 115734245228 144667806535 204306371678 289335613070 408612743356 510765929195 578671226140 715072300873 1021531858390 1430144601746 2043063716780 2860289203492 3575361504365 5005506106111 7150723008730 10011012212222 14301446017460 20022024424444 25027530530555 50055061061110 100110122122220