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125433314220 = 223519557197539
BaseRepresentation
bin111010011010001101…
…0000111101110101100
3102222202122220120102110
41310310122013232230
54023341412023340
6133342343124020
712030232402434
oct1646432075654
9388678816373
10125433314220
1149217921555
1220387443610
13ba9ca4cbb6
1460dcba12c4
1533e1ea1680
hex1d34687bac

125433314220 has 96 divisors (see below), whose sum is σ = 370363795200. Its totient is φ = 31631364864.

The previous prime is 125433314219. The next prime is 125433314221. The reversal of 125433314220 is 22413334521.

It is an interprime number because it is at equal distance from previous prime (125433314219) and next prime (125433314221).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (125433314221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 536211 + ... + 733749.

It is an arithmetic number, because the mean of its divisors is an integer number (3857956200).

Almost surely, 2125433314220 is an apocalyptic number.

125433314220 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 125433314220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185181897600).

125433314220 is an abundant number, since it is smaller than the sum of its proper divisors (244930480980).

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

125433314220 is a wasteful number, since it uses less digits than its factorization.

125433314220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198127 (or 198125 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 125433314220 its reverse (22413334521), we get a palindrome (147846648741).

The spelling of 125433314220 in words is "one hundred twenty-five billion, four hundred thirty-three million, three hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 557 570 1114 1140 1671 2228 2785 3342 5570 6684 8355 10583 11140 16710 21166 31749 33420 42332 52915 63498 105830 126996 158745 197539 211660 317490 395078 592617 634980 790156 987695 1185234 1975390 2370468 2963085 3753241 3950780 5926170 7506482 11259723 11852340 15012964 18766205 22519446 37532410 45038892 56298615 75064820 110029223 112597230 220058446 225194460 330087669 440116892 550146115 660175338 1100292230 1320350676 1650438345 2090555237 2200584460 3300876690 4181110474 6271665711 6601753380 8362220948 10452776185 12543331422 20905552370 25086662844 31358328555 41811104740 62716657110 125433314220