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10112010010011 = 3271379719217369
BaseRepresentation
bin1001001100100110001011…
…0000111011110110011011
31022210200212100211022120200
42103021202300323312123
52311133344030310021
633301220540153243
72062366014620250
oct223114260736633
938720770738520
1010112010010011
113249530038428
121173937838823
13584734bc5a60
1426d5d1255427
15128083729126
hex93262c3bd9b

10112010010011 has 96 divisors (see below), whose sum is σ = 18229865472000. Its totient is φ = 5258942267904.

The previous prime is 10112010010007. The next prime is 10112010010031. The reversal of 10112010010011 is 11001001021101.

It is not a de Polignac number, because 10112010010011 - 22 = 10112010010007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10112010009975 and 10112010010002.

It is not an unprimeable number, because it can be changed into a prime (10112010010031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46411335 + ... + 46628703.

It is an arithmetic number, because the mean of its divisors is an integer number (189894432000).

Almost surely, 210112010010011 is an apocalyptic number.

10112010010011 is a deficient number, since it is larger than the sum of its proper divisors (8117855461989).

10112010010011 is a wasteful number, since it uses less digits than its factorization.

10112010010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218193 (or 218190 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10112010010011 its reverse (11001001021101), we get a palindrome (21113011031112).

The spelling of 10112010010011 in words is "ten trillion, one hundred twelve billion, ten million, ten thousand, eleven".

Divisors: 1 3 7 9 13 21 39 63 79 91 117 237 273 553 711 719 819 1027 1659 2157 3081 4977 5033 6471 7189 9243 9347 15099 21567 28041 45297 56801 64701 65429 84123 170403 196287 217369 397607 511209 588861 652107 738413 1192821 1521583 1956321 2215239 2825797 3578463 4564749 5168891 6645717 8477391 13694247 15506673 17172151 19780579 25432173 46520019 51516453 59341737 120205057 154549359 156288311 178025211 223237963 360615171 468864933 669713889 1081845513 1094018177 1406594799 1562665741 2009141667 2031748043 3282054531 4687997223 6095244129 9846163593 12346776569 14063991669 14222236301 18285732387 37040329707 42666708903 86427435983 111120989121 128000126709 160508095397 259282307949 481524286191 777846923847 1123556667779 1444572858573 3370670003337 10112010010011