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125201342052 = 22325696112153
BaseRepresentation
bin111010010011010010…
…1001101111001100100
3102222011111102011102200
41310212211031321210
54022403020421202
6133303335134500
712021414563643
oct1644645157144
9388144364380
10125201342052
1149108991416
1220321814430
13ba63980067
1460ba05935a
1533cb92de1c
hex1d2694de64

125201342052 has 36 divisors (see below), whose sum is σ = 317037427980. Its totient is φ = 41660428032.

The previous prime is 125201342051. The next prime is 125201342087. The reversal of 125201342052 is 250243102521.

125201342052 is a `hidden beast` number, since 1 + 2 + 520 + 134 + 2 + 0 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86291412516 + 38909929536 = 293754^2 + 197256^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1252013420523 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (125201342051) 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 11 ways as a sum of consecutive naturals, for example, 3035593 + ... + 3076560.

Almost surely, 2125201342052 is an apocalyptic number.

125201342052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125201342052 is an abundant number, since it is smaller than the sum of its proper divisors (191836085928).

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

125201342052 is a wasteful number, since it uses less digits than its factorization.

125201342052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6112732 (or 6112727 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 125201342052 its reverse (250243102521), we get a palindrome (375444444573).

The spelling of 125201342052 in words is "one hundred twenty-five billion, two hundred one million, three hundred forty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 569 1138 1707 2276 3414 5121 6828 10242 20484 6112153 12224306 18336459 24448612 36672918 55009377 73345836 110018754 220037508 3477815057 6955630114 10433445171 13911260228 20866890342 31300335513 41733780684 62600671026 125201342052