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122200023231 = 321113617153889
BaseRepresentation
bin111000111001110110…
…0000110000010111111
3102200102022220101000100
41301303230012002333
54000231201220411
6132045442332143
711554142026206
oct1616354060277
9380368811010
10122200023231
1147908800140
121b82465a053
13b6a5c26470
145cb35cc23d
1532a31c9456
hex1c73b060bf

122200023231 has 48 divisors (see below), whose sum is σ = 207707179680. Its totient is φ = 68252405760.

The previous prime is 122200023193. The next prime is 122200023251. The reversal of 122200023231 is 132320002221.

It is not a de Polignac number, because 122200023231 - 27 = 122200023103 is a prime.

It is a super-2 number, since 2×1222000232312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122200023251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 717135 + ... + 871023.

It is an arithmetic number, because the mean of its divisors is an integer number (4327232910).

Almost surely, 2122200023231 is an apocalyptic number.

122200023231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122200023231 is a deficient number, since it is larger than the sum of its proper divisors (85507156449).

122200023231 is a wasteful number, since it uses less digits than its factorization.

122200023231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154536 (or 154533 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 122200023231 its reverse (132320002221), we get a palindrome (254520025452).

The spelling of 122200023231 in words is "one hundred twenty-two billion, two hundred million, twenty-three thousand, two hundred thirty-one".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 617 1287 1851 5553 6787 8021 20361 24063 61083 72189 88231 153889 264693 461667 794079 1385001 1692779 2000557 5078337 6001671 15235011 18005013 22006127 66018381 94949513 198055143 284848539 854545617 1044444643 1234343669 3133333929 3703031007 9400001787 11109093021 13577780359 40733341077 122200023231