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125345435300 = 22521773732609
BaseRepresentation
bin111010010111100101…
…0111000111010100100
3102222112112112212012122
41310233022320322210
54023201412412200
6133325523405112
712025114422611
oct1645712707244
9388475485178
10125345435300
1149182259848
1220361b23798
13ba87791537
1460d1247508
1533d93e3385
hex1d2f2b8ea4

125345435300 has 36 divisors (see below), whose sum is σ = 287999574660. Its totient is φ = 47188869120.

The previous prime is 125345435269. The next prime is 125345435387. The reversal of 125345435300 is 3534543521.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 17035992484 + 108309442816 = 130522^2 + 329104^2 .

It is a super-2 number, since 2×1253454353002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36864605 + ... + 36868004.

It is an arithmetic number, because the mean of its divisors is an integer number (7999988185).

Almost surely, 2125345435300 is an apocalyptic number.

125345435300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125345435300 is an abundant number, since it is smaller than the sum of its proper divisors (162654139360).

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

125345435300 is a wasteful number, since it uses less digits than its factorization.

125345435300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73732640 (or 73732633 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

Adding to 125345435300 its reverse (3534543521), we get a palindrome (128879978821).

The spelling of 125345435300 in words is "one hundred twenty-five billion, three hundred forty-five million, four hundred thirty-five thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 73732609 147465218 294930436 368663045 737326090 1253454353 1474652180 1843315225 2506908706 3686630450 5013817412 6267271765 7373260900 12534543530 25069087060 31336358825 62672717650 125345435300