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126303211140 = 223543293167081
BaseRepresentation
bin111010110100001000…
…0100000111010000100
3110002000021202220122220
41311220100200322010
54032132110224030
6134004540052340
712060624403161
oct1655020407204
9402007686586
10126303211140
1149623962a27
122058a8340b0
13bbab0366c2
146182523068
153443533a10
hex1d68420e84

126303211140 has 96 divisors (see below), whose sum is σ = 363110622336. Its totient is φ = 32785105920.

The previous prime is 126303211129. The next prime is 126303211163. The reversal of 126303211140 is 41112303621.

It is a happy number.

It is a super-2 number, since 2×1263032111402 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126303211140.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 672400 + ... + 839480.

It is an arithmetic number, because the mean of its divisors is an integer number (3782402316).

Almost surely, 2126303211140 is an apocalyptic number.

126303211140 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 126303211140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181555311168).

126303211140 is an abundant number, since it is smaller than the sum of its proper divisors (236807411196).

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

126303211140 is a wasteful number, since it uses less digits than its factorization.

126303211140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167429 (or 167427 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 126303211140 its reverse (41112303621), we get a palindrome (167415514761).

The spelling of 126303211140 in words is "one hundred twenty-six billion, three hundred three million, two hundred eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 293 430 516 586 645 860 879 1172 1290 1465 1758 2580 2930 3516 4395 5860 8790 12599 17580 25198 37797 50396 62995 75594 125990 151188 167081 188985 251980 334162 377970 501243 668324 755940 835405 1002486 1670810 2004972 2506215 3341620 5012430 7184483 10024860 14368966 21553449 28737932 35922415 43106898 48954733 71844830 86213796 97909466 107767245 143689660 146864199 195818932 215534490 244773665 293728398 431068980 489547330 587456796 734320995 979094660 1468641990 2105053519 2937283980 4210107038 6315160557 8420214076 10525267595 12630321114 21050535190 25260642228 31575802785 42101070380 63151605570 126303211140