Search a number
-
+
125210422524 = 223111776972559
BaseRepresentation
bin111010010011100011…
…1110110110011111100
3102222012010111111111110
41310213013312303330
54022412332010044
6133304301522020
712021555013425
oct1644707666374
9388163444443
10125210422524
1149113023740
1220324873310
13ba6580c215
1460bb34064c
1533cc6246b9
hex1d271f6cfc

125210422524 has 96 divisors (see below), whose sum is σ = 337909017600. Its totient is φ = 35663708160.

The previous prime is 125210422517. The next prime is 125210422543. The reversal of 125210422524 is 425224012521.

It is a junction number, because it is equal to n+sod(n) for n = 125210422491 and 125210422500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1689357 + ... + 1761915.

It is an arithmetic number, because the mean of its divisors is an integer number (3519885600).

Almost surely, 2125210422524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125210422524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168954508800).

125210422524 is an abundant number, since it is smaller than the sum of its proper divisors (212698595076).

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

125210422524 is a wasteful number, since it uses less digits than its factorization.

125210422524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73363 (or 73361 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 125210422524 in words is "one hundred twenty-five billion, two hundred ten million, four hundred twenty-two thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 769 1122 1538 2244 2307 3076 4614 8459 9228 13073 16918 25377 26146 33836 39219 50754 52292 72559 78438 101508 143803 145118 156876 217677 287606 290236 431409 435354 575212 798149 862818 870708 1233503 1596298 1725636 2394447 2467006 3192596 3700509 4788894 4934012 7401018 9577788 13568533 14802036 27137066 40705599 54274132 55797871 81411198 111595742 162822396 167393613 223191484 334787226 613776581 669574452 948563807 1227553162 1841329743 1897127614 2455106324 2845691421 3682659486 3794255228 5691382842 7365318972 10434201877 11382765684 20868403754 31302605631 41736807508 62605211262 125210422524