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125332341320 = 2354767214851
BaseRepresentation
bin111010010111001100…
…0111100001001001000
3102222111121220121122102
41310232120330021020
54023140034410240
6133324335012532
712024565216004
oct1645630741110
9388447817572
10125332341320
114917592607a
122035966a148
13ba84b58614
1460cd5d9704
1533d81a8815
hex1d2e63c248

125332341320 has 96 divisors (see below), whose sum is σ = 292380036480. Its totient is φ = 48330691200.

The previous prime is 125332341301. The next prime is 125332341331. The reversal of 125332341320 is 23143233521.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8431895 + ... + 8446745.

It is an arithmetic number, because the mean of its divisors is an integer number (3045625380).

Almost surely, 2125332341320 is an apocalyptic number.

125332341320 is a gapful number since it is divisible by the number (10) 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 125332341320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146190018240).

125332341320 is an abundant number, since it is smaller than the sum of its proper divisors (167047695160).

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

125332341320 is a wasteful number, since it uses less digits than its factorization.

125332341320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15043 (or 14972 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 125332341320 its reverse (23143233521), we get a palindrome (148475574841).

The spelling of 125332341320 in words is "one hundred twenty-five billion, three hundred thirty-two million, three hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 67 94 134 188 235 268 335 376 470 536 670 940 1340 1880 2680 3149 4489 6298 8978 12596 14851 15745 17956 22445 25192 29702 31490 35912 44890 59404 62980 74255 89780 118808 125960 148510 179560 210983 297020 421966 594040 697997 843932 995017 1054915 1395994 1687864 1990034 2109830 2791988 3489985 3980068 4219660 4975085 5583976 6979970 7960136 8439320 9950170 13959940 19900340 27919880 39800680 46765799 66666139 93531598 133332278 187063196 233828995 266664556 333330695 374126392 467657990 533329112 666661390 935315980 1333322780 1870631960 2666645560 3133308533 6266617066 12533234132 15666542665 25066468264 31333085330 62666170660 125332341320