Search a number
-
+
125270482212 = 223253892413061
BaseRepresentation
bin111010010101010110…
…0111101110100100100
3102222100022111211220100
41310222230331310210
54023023220412322
6133314245104100
712023214346521
oct1645254756444
9388308454810
10125270482212
1149143a15447
12203409b8030
13ba750aa3b5
1460c52d6148
1533d2a39dac
hex1d2ab3dd24

125270482212 has 144 divisors (see below), whose sum is σ = 327716429040. Its totient is φ = 40327372800.

The previous prime is 125270482199. The next prime is 125270482217. The reversal of 125270482212 is 212284072521.

It is a happy number.

125270482212 is a `hidden beast` number, since 125 + 270 + 48 + 221 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15930478656 + 109340003556 = 126216^2 + 330666^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (125270482217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40923162 + ... + 40926222.

It is an arithmetic number, because the mean of its divisors is an integer number (2275808535).

Almost surely, 2125270482212 is an apocalyptic number.

125270482212 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 125270482212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163858214520).

125270482212 is an abundant number, since it is smaller than the sum of its proper divisors (202445946828).

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

125270482212 is a wasteful number, since it uses less digits than its factorization.

125270482212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3454 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 125270482212 in words is "one hundred twenty-five billion, two hundred seventy million, four hundred eighty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53 89 106 159 178 212 241 267 318 356 477 482 534 636 723 801 954 964 1068 1446 1602 1908 2169 2892 3061 3204 4338 4717 6122 8676 9183 9434 12244 12773 14151 18366 18868 21449 25546 27549 28302 36732 38319 42453 42898 51092 55098 56604 64347 76638 84906 85796 110196 114957 128694 153276 162233 169812 193041 229914 257388 272429 324466 386082 459828 486699 544858 648932 737701 772164 817287 973398 1089716 1136797 1460097 1475402 1634574 1946796 2213103 2273594 2451861 2920194 2950804 3269148 3410391 4426206 4547188 4903722 5840388 6639309 6820782 8852412 9807444 10231173 13278618 13641564 14438737 20462346 26557236 28877474 39098153 40924692 43316211 57754948 65655389 78196306 86632422 117294459 129948633 131310778 156392612 173264844 196966167 234588918 259897266 262621556 351883377 393932334 469177836 519794532 590898501 703766754 787864668 1181797002 1407533508 2363594004 3479735617 6959471234 10439206851 13918942468 20878413702 31317620553 41756827404 62635241106 125270482212