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10110221221113 = 3313316661139493
BaseRepresentation
bin1001001100011111100000…
…1001001111110011111001
31022210112020200220102112000
42103013320021033303321
52311121213113033423
633300323240211213
72062303464305256
oct223077011176371
938715220812460
1010110221221113
1132487a23408a2
121173518769b09
1358450b42c8a0
1426d4a185a42d
15127ecb687843
hex931f824fcf9

10110221221113 has 64 divisors (see below), whose sum is σ = 16653217781760. Its totient is φ = 6020028345600.

The previous prime is 10110221221091. The next prime is 10110221221127. The reversal of 10110221221113 is 31112212201101.

It is a happy number.

10110221221113 is a `hidden beast` number, since 1 + 0 + 110 + 221 + 221 + 113 = 666.

It is not a de Polignac number, because 10110221221113 - 214 = 10110221204729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10110221221153) 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, 72408595 + ... + 72548087.

It is an arithmetic number, because the mean of its divisors is an integer number (260206527840).

Almost surely, 210110221221113 is an apocalyptic number.

10110221221113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10110221221113 is a deficient number, since it is larger than the sum of its proper divisors (6542996560647).

10110221221113 is a wasteful number, since it uses less digits than its factorization.

10110221221113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146207 (or 146201 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10110221221113 its reverse (31112212201101), we get a palindrome (41222433422214).

The spelling of 10110221221113 in words is "ten trillion, one hundred ten billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred thirteen".

Divisors: 1 3 9 13 27 31 39 93 117 279 351 403 837 1209 3627 6661 10881 19983 59949 86593 139493 179847 206491 259779 418479 619473 779337 1255437 1813409 1858419 2338011 2684383 3766311 4324283 5440227 5575257 8053149 12972849 16320681 24159447 38918547 48962043 56215679 72478341 116755641 168647037 505941111 929162873 1517823333 2787488619 8362465857 12079117349 25087397571 28804049063 36237352047 86412147189 108712056141 259236441567 326136168423 374452637819 777709324701 1123357913457 3370073740371 10110221221113