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213303424303312 = 247171011109199103
BaseRepresentation
bin110000011111111110010010…
…110101011100000011010000
31000222020121102101111020122121
4300133332102311130003100
5210424230403110201222
62033354123525544024
762633443462160260
oct6037762265340320
91028217371436577
10213303424303312
1161a68524235082
121bb0b771275014
13920357132aa75
143a95d258837a0
15199d7a183d5c7
hexc1ff92d5c0d0

213303424303312 has 80 divisors (see below), whose sum is σ = 505049409626112. Its totient is φ = 85186491033600.

The previous prime is 213303424303301. The next prime is 213303424303357.

It is a happy number.

213303424303312 is nontrivially palindromic in base 10.

213303424303312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 554407248 + ... + 554791855.

Almost surely, 2213303424303312 is an apocalyptic number.

It is an amenable number.

213303424303312 is an abundant number, since it is smaller than the sum of its proper divisors (291745985322800).

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

213303424303312 is a wasteful number, since it uses less digits than its factorization.

213303424303312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109199236 (or 1109199230 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 34.

The spelling of 213303424303312 in words is "two hundred thirteen trillion, three hundred three billion, four hundred twenty-four million, three hundred three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 101 112 119 136 202 238 272 404 476 707 808 952 1414 1616 1717 1904 2828 3434 5656 6868 11312 12019 13736 24038 27472 48076 96152 192304 1109199103 2218398206 4436796412 7764393721 8873592824 15528787442 17747185648 18856384751 31057574884 37712769502 62115149768 75425539004 112029109403 124230299536 131994693257 150851078008 224058218806 263989386514 301702156016 448116437612 527978773028 784203765821 896232875224 1055957546056 1568407531642 1792465750448 1904494859851 2111915092112 3136815063284 3808989719702 6273630126568 7617979439404 12547260253136 13331464018957 15235958878808 26662928037914 30471917757616 53325856075828 106651712151656 213303424303312