Search a number
-
+
331132202112 = 27337109321323
BaseRepresentation
bin1001101000110010000…
…01000110110010000000
31011122201011122202102210
410310121001012302000
520411124320431422
6412041532142120
732631523164105
oct4643101066200
91148634582383
10331132202112
1111848354a558
1254213607940
13252c193aa8a
1412053aacaac
1589308d010c
hex4d19046c80

331132202112 has 128 divisors (see below), whose sum is σ = 904210954560. Its totient is φ = 107290939392.

The previous prime is 331132202111. The next prime is 331132202117. The reversal of 331132202112 is 211202231133.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (331132202111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15518683 + ... + 15540005.

Almost surely, 2331132202112 is an apocalyptic number.

331132202112 is a gapful number since it is divisible by the number (32) 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 331132202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452105477280).

331132202112 is an abundant number, since it is smaller than the sum of its proper divisors (573078752448).

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

331132202112 is a wasteful number, since it uses less digits than its factorization.

331132202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22470 (or 22458 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 331132202112 its reverse (211202231133), we get a palindrome (542334433245).

The spelling of 331132202112 in words is "three hundred thirty-one billion, one hundred thirty-two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1093 1184 1776 2186 2368 3279 3552 4372 4736 6558 7104 8744 13116 14208 17488 21323 26232 34976 40441 42646 52464 63969 69952 80882 85292 104928 121323 127938 139904 161764 170584 209856 242646 255876 323528 341168 419712 485292 511752 647056 682336 788951 970584 1023504 1294112 1364672 1577902 1941168 2047008 2366853 2588224 2729344 3155804 3882336 4094016 4733706 5176448 6311608 7764672 8188032 9467412 12623216 15529344 18934824 23306039 25246432 37869648 46612078 50492864 69918117 75739296 93224156 100985728 139836234 151478592 186448312 279672468 302957184 372896624 559344936 745793248 862323443 1118689872 1491586496 1724646886 2237379744 2586970329 2983172992 3449293772 4474759488 5173940658 6898587544 8949518976 10347881316 13797175088 20695762632 27594350176 41391525264 55188700352 82783050528 110377400704 165566101056 331132202112