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125332121010 = 23573106153939
BaseRepresentation
bin111010010111001100…
…0000110010110110010
3102222111121111102102210
41310232120012112302
54023140010333020
6133324330152550
712024563310465
oct1645630062662
9388447442383
10125332121010
11491757955a8
1220359582756
13ba84aac265
1460cd57d2dc
1533d81633e0
hex1d2e6065b2

125332121010 has 64 divisors (see below), whose sum is σ = 305210643840. Its totient is φ = 32932385280.

The previous prime is 125332120967. The next prime is 125332121069. The reversal of 125332121010 is 10121233521.

125332121010 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2296621 + ... + 2350559.

It is an arithmetic number, because the mean of its divisors is an integer number (4768916310).

Almost surely, 2125332121010 is an apocalyptic number.

125332121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125332121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152605321920).

125332121010 is an abundant number, since it is smaller than the sum of its proper divisors (179878522830).

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

125332121010 is a wasteful number, since it uses less digits than its factorization.

125332121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55083.

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 125332121010 its reverse (10121233521), we get a palindrome (135453354531).

The spelling of 125332121010 in words is "one hundred twenty-five billion, three hundred thirty-two million, one hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 365 438 730 1061 1095 2122 2190 3183 5305 6366 10610 15915 31830 53939 77453 107878 154906 161817 232359 269695 323634 387265 464718 539390 774530 809085 1161795 1618170 2323590 3937547 7875094 11812641 19687735 23625282 39375470 57229279 59063205 114458558 118126410 171687837 286146395 343375674 572292790 858439185 1716878370 4177737367 8355474734 12533212101 20888686835 25066424202 41777373670 62666060505 125332121010