Search a number
-
+
122120102101331 = 3110736816431143
BaseRepresentation
bin11011110001000101001101…
…010011100100000101010011
3121000101120022212220210002202
4123301011031103210011103
5112001303432114220311
61111421111142433415
734502612654541155
oct3361051523440523
9530346285823082
10122120102101331
1135a02931a76384
121184383b13286b
13531ab51076499
142222904642ad5
15e1b956555e3b
hex6f114d4e4153

122120102101331 has 8 divisors (see below), whose sum is σ = 127237586033664. Its totient is φ = 117076251031560.

The previous prime is 122120102101259. The next prime is 122120102101351. The reversal of 122120102101331 is 133101201021221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122120102101331 - 234 = 122102922232147 is a prime.

It is a super-2 number, since 2×1221201021013312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122120102101351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18408212255 + ... + 18408218888.

It is an arithmetic number, because the mean of its divisors is an integer number (15904698254208).

Almost surely, 2122120102101331 is an apocalyptic number.

122120102101331 is a deficient number, since it is larger than the sum of its proper divisors (5117483932333).

122120102101331 is a wasteful number, since it uses less digits than its factorization.

122120102101331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36816431281.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 122120102101331 its reverse (133101201021221), we get a palindrome (255221303122552).

The spelling of 122120102101331 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred two million, one hundred one thousand, three hundred thirty-one".

Divisors: 1 31 107 3317 36816431143 1141309365433 3939358132301 122120102101331