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211230232122 = 237131920361503
BaseRepresentation
bin1100010010111001001…
…1011000111000111010
3202012012222221120211110
43010232103120320322
511430044414411442
6241012100541150
721155324230350
oct3045623307072
9665188846743
10211230232122
1181644a60878
1234b306b17b6
1316bc3b57640
14a31b7a37d0
15576434069c
hex312e4d8e3a

211230232122 has 64 divisors (see below), whose sum is σ = 547317227520. Its totient is φ = 52777013184.

The previous prime is 211230232111. The next prime is 211230232127. The reversal of 211230232122 is 221232032112.

211230232122 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 (21).

It is not an unprimeable number, because it can be changed into a prime (211230232127) 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 31 ways as a sum of consecutive naturals, for example, 10170378 + ... + 10191125.

It is an arithmetic number, because the mean of its divisors is an integer number (8551831680).

Almost surely, 2211230232122 is an apocalyptic number.

211230232122 is an abundant number, since it is smaller than the sum of its proper divisors (336086995398).

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

211230232122 is a wasteful number, since it uses less digits than its factorization.

211230232122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20361547.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 211230232122 its reverse (221232032112), we get a palindrome (432462264234).

The spelling of 211230232122 in words is "two hundred eleven billion, two hundred thirty million, two hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 91 114 133 182 247 266 273 399 494 546 741 798 1482 1729 3458 5187 10374 20361503 40723006 61084509 122169018 142530521 264699539 285061042 386868557 427591563 529399078 773737114 794098617 855183126 1160605671 1588197234 1852896773 2321211342 2708079899 3705793546 5029291241 5416159798 5558690319 8124239697 10058582482 11117380638 15087873723 16248479394 30175747446 35205038687 70410077374 105615116061 211230232122