Search a number
-
+
211322201211132 = 223111698794244173
BaseRepresentation
bin110000000011001001001000…
…101111001000000011111100
31000201020012112112201010212220
4300003021020233020003330
5210144300332002224012
62025240025023125340
762340345100562544
oct6003111057100374
91021205475633786
10211322201211132
1161374273475030
121b84b7a9743850
1390bb7a0c5314b
143a28098a98324
151966e9702e08c
hexc03248bc80fc

211322201211132 has 48 divisors (see below), whose sum is σ = 537942729378432. Its totient is φ = 64033260223680.

The previous prime is 211322201211127. The next prime is 211322201211133. The reversal of 211322201211132 is 231112102223112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211322201211133) 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, 44879803 + ... + 49364370.

It is an arithmetic number, because the mean of its divisors is an integer number (11207140195384).

Almost surely, 2211322201211132 is an apocalyptic number.

211322201211132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211322201211132 is an abundant number, since it is smaller than the sum of its proper divisors (326620528167300).

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

211322201211132 is a wasteful number, since it uses less digits than its factorization.

211322201211132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94261178 (or 94261176 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 211322201211132 its reverse (231112102223112), we get a palindrome (442434303434244).

The spelling of 211322201211132 in words is "two hundred eleven trillion, three hundred twenty-two billion, two hundred one million, two hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 16987 33974 50961 67948 101922 186857 203844 373714 560571 747428 1121142 2242284 94244173 188488346 282732519 376976692 565465038 1036685903 1130930076 2073371806 3110057709 4146743612 6220115418 12440230836 1600925766751 3201851533502 4802777300253 6403703067004 9605554600506 17610183434261 19211109201012 35220366868522 52830550302783 70440733737044 105661100605566 211322201211132