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125204411241 = 32713227673457
BaseRepresentation
bin111010010011011000…
…0111011001101101001
3102222011201012002120100
41310212300323031221
54022404312124431
6133303525020013
712021452636010
oct1644660731551
9388151162510
10125204411241
114910a698338
1220322854609
13ba644b6050
1460ba617a77
1533cbd384e6
hex1d26c3b369

125204411241 has 48 divisors (see below), whose sum is σ = 223566505344. Its totient is φ = 65750856192.

The previous prime is 125204411177. The next prime is 125204411261. The reversal of 125204411241 is 142114402521.

125204411241 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 0 + 4 + 411 + 241 = 666.

It is not a de Polignac number, because 125204411241 - 26 = 125204411177 is a prime.

It is a super-3 number, since 3×1252044112413 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (125204411261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150816 + ... + 522641.

It is an arithmetic number, because the mean of its divisors is an integer number (4657635528).

Almost surely, 2125204411241 is an apocalyptic number.

It is an amenable number.

125204411241 is a deficient number, since it is larger than the sum of its proper divisors (98362094103).

125204411241 is a wasteful number, since it uses less digits than its factorization.

125204411241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673710 (or 673707 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 125204411241 its reverse (142114402521), we get a palindrome (267318813762).

The spelling of 125204411241 in words is "one hundred twenty-five billion, two hundred four million, four hundred eleven thousand, two hundred forty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 227 273 681 819 1589 2043 2951 4767 8853 14301 20657 26559 61971 185913 673457 2020371 4714199 6061113 8754941 14142597 26264823 42427791 61284587 78794469 152874739 183853761 458624217 551561283 1070123173 1375872651 1987371607 3210369519 5962114821 9631108557 13911601249 17886344463 41734803747 125204411241