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42231122113224 = 23311228769945943
BaseRepresentation
bin10011001101000101100110…
…00010000011001011001000
312112112020220111210201010010
421212202303002003023020
521013403314230110344
6225452413142151520
711616045401100552
oct1146426302031310
9175466814721103
1042231122113224
1112502133519390
1248a08114225a0
131a744bab36cc5
14a5ddd650c4d2
154d37dd54a8b9
hex2668b30832c8

42231122113224 has 64 divisors (see below), whose sum is σ = 115226150307840. Its totient is φ = 12791713872960.

The previous prime is 42231122113217. The next prime is 42231122113361.

42231122113224 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42231122113191 and 42231122113200.

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, 34369204 + ... + 35576739.

It is an arithmetic number, because the mean of its divisors is an integer number (1800408598560).

Almost surely, 242231122113224 is an apocalyptic number.

42231122113224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42231122113224 is an abundant number, since it is smaller than the sum of its proper divisors (72995028194616).

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

42231122113224 is a wasteful number, since it uses less digits than its factorization.

42231122113224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69948250 (or 69948246 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 4223112 and 2113224, that added together give a palindrome (6336336).

The spelling of 42231122113224 in words is "forty-two trillion, two hundred thirty-one billion, one hundred twenty-two million, one hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 2287 4574 6861 9148 13722 18296 25157 27444 50314 54888 75471 100628 150942 201256 301884 603768 69945943 139891886 209837829 279783772 419675658 559567544 769405373 839351316 1538810746 1678702632 2308216119 3077621492 4616432238 6155242984 9232864476 18465728952 159966371641 319932743282 479899114923 639865486564 959798229846 1279730973128 1759630088051 1919596459692 3519260176102 3839192919384 5278890264153 7038520352204 10557780528306 14077040704408 21115561056612 42231122113224