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221321243024432 = 241731233112651397
BaseRepresentation
bin110010010100101001011110…
…000100100101110000110000
31002000122002210221221110122222
4302110221132010211300300
5213002111401203240212
62102413324143020212
764421634502626005
oct6224513604456060
91060562727843588
10221321243024432
11645798a2944211
12209a565859a668
139665671721495
143c920108418ac
151a8c117c9ec72
hexc94a5e125c30

221321243024432 has 80 divisors (see below), whose sum is σ = 470691786868992. Its totient is φ = 100358875668480.

The previous prime is 221321243024407. The next prime is 221321243024461. The reversal of 221321243024432 is 234420342123122.

It is a super-2 number, since 2×2213212430244322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221321243024392 and 221321243024401.

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, 54361043 + ... + 58290354.

Almost surely, 2221321243024432 is an apocalyptic number.

It is an amenable number.

221321243024432 is an abundant number, since it is smaller than the sum of its proper divisors (249370543844560).

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

221321243024432 is a wasteful number, since it uses less digits than its factorization.

221321243024432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112651686 (or 112651680 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 221321243024432 its reverse (234420342123122), we get a palindrome (455741585147554).

The spelling of 221321243024432 in words is "two hundred twenty-one trillion, three hundred twenty-one billion, two hundred forty-three million, twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 233 248 272 466 496 527 932 1054 1864 2108 3728 3961 4216 7223 7922 8432 14446 15844 28892 31688 57784 63376 115568 122791 245582 491164 982328 1964656 112651397 225302794 450605588 901211176 1802422352 1915073749 3492193307 3830147498 6984386614 7660294996 13968773228 15320589992 26247775501 27937546456 30641179984 52495551002 55875092912 59367286219 104991102004 118734572438 209982204008 237469144876 419964408016 446212183517 474938289752 813681040531 892424367034 949876579504 1627362081062 1784848734068 3254724162124 3569697468136 6509448324248 7139394936272 13018896648496 13832577689027 27665155378054 55330310756108 110660621512216 221321243024432