Search a number
-
+
210101012122122 = 233112411467657293
BaseRepresentation
bin101111110001010111110100…
…001100011100101000001010
31000112220110102202222210012000
4233301113310030130220022
5210014243333100401442
62022503023354531430
762153203640600022
oct5761276414345012
91015813382883160
10210101012122122
1160a43380025830
121b692b97a36b76
139030595819764
1439c4d2c398a82
151945321ee4d4c
hexbf15f431ca0a

210101012122122 has 64 divisors (see below), whose sum is σ = 511449213813120. Its totient is φ = 63402795014400.

The previous prime is 210101012122097. The next prime is 210101012122123. The reversal of 210101012122122 is 221221210101012.

210101012122122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 210101012122095 and 210101012122104.

It is not an unprimeable number, because it can be changed into a prime (210101012122123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 733685493 + ... + 733971800.

It is an arithmetic number, because the mean of its divisors is an integer number (7991393965830).

Almost surely, 2210101012122122 is an apocalyptic number.

210101012122122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

210101012122122 is an abundant number, since it is smaller than the sum of its proper divisors (301348201690998).

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

210101012122122 is a wasteful number, since it uses less digits than its factorization.

210101012122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467657556 (or 1467657550 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 210101012122122 its reverse (221221210101012), we get a palindrome (431322222223134).

The spelling of 210101012122122 in words is "two hundred ten trillion, one hundred one billion, twelve million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 241 297 482 594 723 1446 2169 2651 4338 5302 6507 7953 13014 15906 23859 47718 71577 143154 1467657293 2935314586 4402971879 8805943758 13208915637 16144230223 26417831274 32288460446 39626746911 48432690669 79253493822 96865381338 145298072007 290596144014 353705407613 435894216021 707410815226 871788432042 1061116222839 2122232445678 3183348668517 3890759483743 6366697337034 7781518967486 9550046005551 11672278451229 19100092011102 23344556902458 35016835353687 70033670707374 105050506061061 210101012122122