Search a number
-
+
126000202610260 = 225115471228985201
BaseRepresentation
bin11100101001100010110101…
…010100010111011001010100
3121112010111112202120020212101
4130221202311110113121110
5113003341403332012020
61123551405522331444
735353133323643656
oct3451426524273124
9545114482506771
10126000202610260
1137169427611760
121216b824ab9b84
13553c9ca748ba4
142318629b206d6
15e8784b2b100a
hex7298b5517654

126000202610260 has 96 divisors (see below), whose sum is σ = 289209641535360. Its totient is φ = 45730234368000.

The previous prime is 126000202610237. The next prime is 126000202610263. The reversal of 126000202610260 is 62016202000621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126000202610263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1478815660 + ... + 1478900860.

It is an arithmetic number, because the mean of its divisors is an integer number (3012600432660).

Almost surely, 2126000202610260 is an apocalyptic number.

126000202610260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126000202610260 is an abundant number, since it is smaller than the sum of its proper divisors (163209438925100).

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

126000202610260 is a wasteful number, since it uses less digits than its factorization.

126000202610260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98057 (or 98055 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 126000202610260 its reverse (62016202000621), we get a palindrome (188016404610881).

The spelling of 126000202610260 in words is "one hundred twenty-six trillion, two hundred two million, six hundred ten thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 547 1094 2188 2735 5470 6017 10940 12034 12289 24068 24578 30085 49156 60170 61445 85201 120340 122890 135179 170402 245780 270358 340804 426005 540716 675895 852010 937211 1351790 1704020 1874422 2703580 3748844 4686055 6722083 9372110 13444166 18744220 26888332 33610415 46604947 67220830 73942913 93209894 134441660 147885826 186419788 233024735 295771652 369714565 466049470 512654417 739429130 932098940 1025308834 1047035089 1478858260 2050617668 2094070178 2563272085 4188140356 5126544170 5235175445 10253088340 10470350890 11517385979 20940701780 23034771958 46069543916 57586929895 115173859790 230347719580 572728193683 1145456387366 2290912774732 2863640968415 5727281936830 6300010130513 11454563873660 12600020261026 25200040522052 31500050652565 63000101305130 126000202610260