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101113222041 = 32132294195471
BaseRepresentation
bin101111000101011010…
…0010101001110011001
3100122222202100212210200
41132022310111032121
53124034441101131
6114241211132413
710206452130546
oct1361264251631
9318882325720
10101113222041
1139977861317
121771a744109
1396c533c700
144c72c41bcd
15296bd332e6
hex178ad15399

101113222041 has 72 divisors (see below), whose sum is σ = 164025388800. Its totient is φ = 59923543680.

The previous prime is 101113222039. The next prime is 101113222057. The reversal of 101113222041 is 140222311101.

It is not a de Polignac number, because 101113222041 - 21 = 101113222039 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101113222061) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 18478936 + ... + 18484406.

It is an arithmetic number, because the mean of its divisors is an integer number (2278130400).

Almost surely, 2101113222041 is an apocalyptic number.

It is an amenable number.

101113222041 is a deficient number, since it is larger than the sum of its proper divisors (62912166759).

101113222041 is a wasteful number, since it uses less digits than its factorization.

101113222041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5951 (or 5935 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101113222041 its reverse (140222311101), we get a palindrome (241335533142).

The spelling of 101113222041 in words is "one hundred one billion, one hundred thirteen million, two hundred twenty-two thousand, forty-one".

Divisors: 1 3 9 13 29 39 87 117 169 261 377 419 507 1131 1257 1521 3393 3771 4901 5447 5471 12151 14703 16341 16413 36453 44109 49023 49239 70811 71123 109359 157963 158659 212433 213369 473889 475977 637299 640107 924599 1421667 1427931 2053519 2062567 2292349 2773797 6160557 6187701 6877047 8321391 18481671 18563103 20631141 26813371 29800537 66478121 80440113 89401611 199434363 241320339 268204833 387406981 598303089 864215573 1162220943 2592646719 3486662829 7777940157 11234802449 33704407347 101113222041