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122135325 = 35213192347
BaseRepresentation
bin1110100011110…
…10001100011101
322111211010011120
413101322030131
5222231312300
620041441153
73012063444
oct721721435
9274733146
10122135325
1162a40094
1234aa01b9
131c3c3b30
1412313d5b
15aac83a0
hex747a31d

122135325 has 72 divisors (see below), whose sum is σ = 230172768. Its totient is φ = 56799360.

The previous prime is 122135309. The next prime is 122135333. The reversal of 122135325 is 523531221.

It is a happy number.

It is not a de Polignac number, because 122135325 - 24 = 122135309 is a prime.

It is a super-2 number, since 2×1221353252 = 29834075225711250, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122135295 and 122135304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 351802 + ... + 352148.

It is an arithmetic number, because the mean of its divisors is an integer number (3196844).

Almost surely, 2122135325 is an apocalyptic number.

122135325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122135325 is a deficient number, since it is larger than the sum of its proper divisors (108037443).

122135325 is a wasteful number, since it uses less digits than its factorization.

122135325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 387 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 122135325 is about 11051.4851943076. The cubic root of 122135325 is about 496.1508778881.

Adding to 122135325 its reverse (523531221), we get a palindrome (645666546).

The spelling of 122135325 in words is "one hundred twenty-two million, one hundred thirty-five thousand, three hundred twenty-five".

Divisors: 1 3 5 13 15 19 25 39 57 65 75 95 195 247 285 325 347 361 475 741 975 1041 1083 1235 1425 1735 1805 3705 4511 4693 5205 5415 6175 6593 8675 9025 13533 14079 18525 19779 22555 23465 26025 27075 32965 67665 70395 85709 98895 112775 117325 125267 164825 257127 338325 351975 375801 428545 494475 626335 1285635 1628471 1879005 2142725 3131675 4885413 6428175 8142355 9395025 24427065 40711775 122135325