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125442113200 = 2452613511591
BaseRepresentation
bin111010011010011101…
…1101011111010110000
3102222210021110121100121
41310310323223322300
54023401140110300
6133343255500024
712030400240435
oct1646473537260
9388707417317
10125442113200
1149221891338
122038a387614
13baa1810bb1
146100011b8c
1533e2b3d81a
hex1d34eebeb0

125442113200 has 60 divisors (see below), whose sum is σ = 301866905968. Its totient is φ = 50094892800.

The previous prime is 125442113143. The next prime is 125442113207. The reversal of 125442113200 is 2311244521.

It is a super-2 number, since 2×1254421132002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (125442113207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10596 + ... + 500995.

Almost surely, 2125442113200 is an apocalyptic number.

125442113200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125442113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150933452984).

125442113200 is an abundant number, since it is smaller than the sum of its proper divisors (176424792768).

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

125442113200 is a wasteful number, since it uses less digits than its factorization.

125442113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512222 (or 512211 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 125442113200 its reverse (2311244521), we get a palindrome (127753357721).

It can be divided in two parts, 1254421 and 13200, that added together give a palindrome (1267621).

The spelling of 125442113200 in words is "one hundred twenty-five billion, four hundred forty-two million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 613 1226 2452 3065 4904 6130 9808 12260 15325 24520 30650 49040 61300 122600 245200 511591 1023182 2046364 2557955 4092728 5115910 8185456 10231820 12789775 20463640 25579550 40927280 51159100 102318200 204636400 313605283 627210566 1254421132 1568026415 2508842264 3136052830 5017684528 6272105660 7840132075 12544211320 15680264150 25088422640 31360528300 62721056600 125442113200