Search a number
-
+
131032232214112 = 25174631871278051
BaseRepresentation
bin11101110010110001010001…
…101001111011111001100000
3122011221120002120000211201201
4131302301101221323321200
5114133313002421322422
61142403213152410544
736412523602565305
oct3562612151737140
9564846076024651
10131032232214112
11388295040996a9
1212842b11546a54
135816395516168
14244ddcb2b50ac
1510236b08ba727
hex772c51a7be60

131032232214112 has 96 divisors (see below), whose sum is σ = 273881629292544. Its totient is φ = 61495940352000.

The previous prime is 131032232214097. The next prime is 131032232214161. The reversal of 131032232214112 is 211412232230131.

It is a happy number.

131032232214112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471113487 + ... + 471391537.

It is an arithmetic number, because the mean of its divisors is an integer number (2852933638464).

Almost surely, 2131032232214112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131032232214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136940814646272).

131032232214112 is an abundant number, since it is smaller than the sum of its proper divisors (142849397078432).

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

131032232214112 is a wasteful number, since it uses less digits than its factorization.

131032232214112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280412 (or 280404 counting only the distinct ones).

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

Adding to 131032232214112 its reverse (211412232230131), we get a palindrome (342444464444243).

The spelling of 131032232214112 in words is "one hundred thirty-one trillion, thirty-two billion, two hundred thirty-two million, two hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 463 544 926 1852 1871 3704 3742 7408 7484 7871 14816 14968 15742 29936 31484 31807 59872 62968 63614 125936 127228 251872 254456 278051 508912 556102 866273 1017824 1112204 1732546 2224408 3465092 4448816 4726867 6930184 8897632 9453734 13860368 14726641 18907468 27720736 29453282 37814936 58906564 75629872 117813128 128737613 151259744 235626256 257475226 471252512 514950452 520233421 1029900904 1040466842 2059801808 2080933684 2188539421 4119603616 4161867368 4377078842 8323734736 8754157684 8843968157 16647469472 17508315368 17687936314 35016630736 35375872628 70033261472 70751745256 141503490512 240868073923 283006981024 481736147846 963472295692 1926944591384 3853889182768 4094757256691 7707778365536 8189514513382 16379029026764 32758058053528 65516116107056 131032232214112