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102223221133011 = 311172933161189479
BaseRepresentation
bin10111001111100010110010…
…110010001000111011010011
3111101221110000001002211210120
4113033202302302020323103
5101344311124102224021
61001224411031201323
730350245500026466
oct2717426262107323
9441843001084716
10102223221133011
112a631696415080
12b56b665b16243
1345067ba831974
141b358b77952dd
15bc40d96622c6
hex5cf8b2c88ed3

102223221133011 has 64 divisors (see below), whose sum is σ = 162869246899200. Its totient is φ = 56296490700800.

The previous prime is 102223221132973. The next prime is 102223221133013. The reversal of 102223221133011 is 110331122322201.

It is a cyclic number.

It is not a de Polignac number, because 102223221133011 - 211 = 102223221130963 is a prime.

It is a super-2 number, since 2×1022232211330112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102223221133013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 539401570 + ... + 539591048.

It is an arithmetic number, because the mean of its divisors is an integer number (2544831982800).

Almost surely, 2102223221133011 is an apocalyptic number.

102223221133011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102223221133011 is a deficient number, since it is larger than the sum of its proper divisors (60646025766189).

102223221133011 is a wasteful number, since it uses less digits than its factorization.

102223221133011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222700.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 102223221133011 its reverse (110331122322201), we get a palindrome (212554343455212).

The spelling of 102223221133011 in words is "one hundred two trillion, two hundred twenty-three billion, two hundred twenty-one million, one hundred thirty-three thousand, eleven".

Divisors: 1 3 11 17 29 33 51 87 187 319 493 561 957 1479 5423 16269 33161 99483 189479 364771 563737 568437 961669 1094313 1691211 2084269 2885007 3221143 5494891 6201107 6252807 9663429 10578359 16348373 16484673 18603321 31735077 35432573 49045119 60443801 93413147 106297719 179832103 181331403 280239441 539496309 1027544617 3082633851 6283313119 18849939357 69116444309 106816323023 182216080451 207349332927 320448969069 546648241353 1174979553253 2004376884961 3097673367667 3524938659759 6013130654883 9293020103001 34074407044337 102223221133011