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122230412031 = 37133831169009
BaseRepresentation
bin111000111010110000…
…0000001001011111111
3102200111110002021121110
41301311200001023333
54000311441141111
6132052445533103
711554661234250
oct1616540011377
9380443067543
10122230412031
1147923976752
121b832874193
13b6ac3063c0
145cb765cb27
1532a5bcd5a6
hex1c758012ff

122230412031 has 32 divisors (see below), whose sum is σ = 201107128320. Its totient is φ = 64304792064.

The previous prime is 122230412023. The next prime is 122230412069. The reversal of 122230412031 is 130214032221.

It is not a de Polignac number, because 122230412031 - 23 = 122230412023 is a prime.

It is a super-2 number, since 2×1222304120312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 122230411989 and 122230412007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122230412071) 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, 479946 + ... + 689063.

It is an arithmetic number, because the mean of its divisors is an integer number (6284597760).

Almost surely, 2122230412031 is an apocalyptic number.

122230412031 is a deficient number, since it is larger than the sum of its proper divisors (78876716289).

122230412031 is a wasteful number, since it uses less digits than its factorization.

122230412031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169415.

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

Adding to 122230412031 its reverse (130214032221), we get a palindrome (252444444252).

The spelling of 122230412031 in words is "one hundred twenty-two billion, two hundred thirty million, four hundred twelve thousand, thirty-one".

Divisors: 1 3 7 13 21 39 91 273 383 1149 2681 4979 8043 14937 34853 104559 1169009 3507027 8183063 15197117 24549189 45591351 106379819 319139457 447730447 1343191341 3134113129 5820495811 9402339387 17461487433 40743470677 122230412031