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211201222122 = 23311355557613
BaseRepresentation
bin1100010010110010010…
…0101110010111101010
3202012010222100201121000
43010230210232113222
511430020003101442
6241005143055430
721154522524162
oct3045444562752
9665128321530
10211201222122
118162a647170
1234b22a41576
1316bbab3b167
14a3179b15a2
155761a0ed4c
hex312c92e5ea

211201222122 has 32 divisors (see below), whose sum is σ = 512002964160. Its totient is φ = 64000370160.

The previous prime is 211201222121. The next prime is 211201222153. The reversal of 211201222122 is 221222102112.

It is a happy number.

211201222122 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 = 211201222095 and 211201222104.

It is not an unprimeable number, because it can be changed into a prime (211201222121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177778213 + ... + 177779400.

It is an arithmetic number, because the mean of its divisors is an integer number (16000092630).

Almost surely, 2211201222122 is an apocalyptic number.

211201222122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211201222122 is an abundant number, since it is smaller than the sum of its proper divisors (300801742038).

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

211201222122 is a wasteful number, since it uses less digits than its factorization.

211201222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355557635 (or 355557629 counting only the distinct ones).

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

Adding to 211201222122 its reverse (221222102112), we get a palindrome (432423324234).

The spelling of 211201222122 in words is "two hundred eleven billion, two hundred one million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 355557613 711115226 1066672839 2133345678 3200018517 3911133743 6400037034 7822267486 9600055551 11733401229 19200111102 23466802458 35200203687 70400407374 105600611061 211201222122