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1227713201442 = 2327213107074237
BaseRepresentation
bin10001110111011001011…
…010001100010100100010
311100100221102222121110200
4101313121122030110202
5130103324034421232
62340000442410030
7154461610012500
oct21673132142442
94310842877420
101227713201442
11433741106562
12179b32800916
138ba07c7a760
14435c8d7d670
1521e07b9e77c
hex11dd968c522

1227713201442 has 72 divisors (see below), whose sum is σ = 3332364435036. Its totient is φ = 323792489664.

The previous prime is 1227713201437. The next prime is 1227713201459. The reversal of 1227713201442 is 2441023177221.

1227713201442 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 7 + 1 + 3 + 201 + 442 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1051119108081 + 176594093361 = 1025241^2 + 420231^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1227713201397 and 1227713201406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53525653 + ... + 53548584.

Almost surely, 21227713201442 is an apocalyptic number.

1227713201442 is an abundant number, since it is smaller than the sum of its proper divisors (2104651233594).

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

1227713201442 is a wasteful number, since it uses less digits than its factorization.

1227713201442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107074272 (or 107074262 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 1227713201442 its reverse (2441023177221), we get a palindrome (3668736378663).

The spelling of 1227713201442 in words is "one trillion, two hundred twenty-seven billion, seven hundred thirteen million, two hundred one thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 441 546 637 819 882 1274 1638 1911 3822 5733 11466 107074237 214148474 321222711 642445422 749519659 963668133 1391965081 1499039318 1927336266 2248558977 2783930162 4175895243 4497117954 5246637613 6745676931 8351790486 9743755567 10493275226 12527685729 13491353862 15739912839 19487511134 25055371458 29231266701 31479825678 47219738517 58462533402 68206288969 87693800103 94439477034 136412577938 175387600206 204618866907 409237733814 613856600721 1227713201442