Search a number
-
+
125423101152 = 2532173214551
BaseRepresentation
bin111010011001111001…
…1001010010011100000
3102222201221200200201200
41310303303022103200
54023331303214102
6133341340201200
712030046524636
oct1646363122340
9388657620650
10125423101152
11492120862a8
1220383b39200
13ba9a8b536b
1460db6a3356
1533e113551c
hex1d33cca4e0

125423101152 has 108 divisors (see below), whose sum is σ = 358770203064. Its totient is φ = 41563180800.

The previous prime is 125423101099. The next prime is 125423101163. The reversal of 125423101152 is 251101324521.

It is a happy number.

125423101152 is a `hidden beast` number, since 1 + 2 + 542 + 3 + 1 + 0 + 115 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8612277 + ... + 8626827.

Almost surely, 2125423101152 is an apocalyptic number.

125423101152 is a gapful number since it is divisible by the number (12) 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 125423101152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179385101532).

125423101152 is an abundant number, since it is smaller than the sum of its proper divisors (233347101912).

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

125423101152 is a wasteful number, since it uses less digits than its factorization.

125423101152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14913 (or 14729 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 125423101152 its reverse (251101324521), we get a palindrome (376524425673).

The spelling of 125423101152 in words is "one hundred twenty-five billion, four hundred twenty-three million, one hundred one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 173 288 346 519 692 1038 1384 1557 2076 2768 3114 4152 5536 6228 8304 12456 14551 16608 24912 29102 29929 43653 49824 58204 59858 87306 89787 116408 119716 130959 174612 179574 232816 239432 261918 269361 349224 359148 465632 478864 523836 538722 698448 718296 957728 1047672 1077444 1396896 1436592 2095344 2154888 2517323 2873184 4190688 4309776 5034646 7551969 8619552 10069292 15103938 20138584 22655907 30207876 40277168 45311814 60415752 80554336 90623628 120831504 181247256 241663008 362494512 435496879 724989024 870993758 1306490637 1741987516 2612981274 3483975032 3919471911 5225962548 6967950064 7838943822 10451925096 13935900128 15677887644 20903850192 31355775288 41807700384 62711550576 125423101152