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125135213034 = 231329199277993
BaseRepresentation
bin111010010001010100…
…0111101000111101010
3102221222212222110110210
41310202220331013222
54022234103304114
6133253013521550
712016652521656
oct1644250750752
9387885873423
10125135213034
1149084624737
12203036432b6
13ba53068470
1460b1363a66
1533c5c1a259
hex1d22a3d1ea

125135213034 has 64 divisors (see below), whose sum is σ = 280217952000. Its totient is φ = 36988503552.

The previous prime is 125135213033. The next prime is 125135213041. The reversal of 125135213034 is 430312531521.

It is a junction number, because it is equal to n+sod(n) for n = 125135212992 and 125135213010.

It is not an unprimeable number, because it can be changed into a prime (125135213033) 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, 311142 + ... + 589134.

It is an arithmetic number, because the mean of its divisors is an integer number (4378405500).

Almost surely, 2125135213034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125135213034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140108976000).

125135213034 is an abundant number, since it is smaller than the sum of its proper divisors (155082738966).

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

125135213034 is a wasteful number, since it uses less digits than its factorization.

125135213034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278239.

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 125135213034 its reverse (430312531521), we get a palindrome (555447744555).

The spelling of 125135213034 in words is "one hundred twenty-five billion, one hundred thirty-five million, two hundred thirteen thousand, thirty-four".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 174 199 377 398 597 754 1131 1194 2262 2587 5174 5771 7761 11542 15522 17313 34626 75023 150046 225069 277993 450138 555986 833979 1667958 3613909 7227818 8061797 10841727 16123594 21683454 24185391 48370782 55320607 104803361 110641214 165961821 209606722 314410083 331923642 628820166 719167891 1438335782 1604297603 2157503673 3208595206 4315007346 4812892809 9625785618 20855868839 41711737678 62567606517 125135213034