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10101112119 = 32729107163317
BaseRepresentation
bin10010110100001001…
…01011110100110111
3222001222000122212200
421122010223310313
5131141341041434
64350153515543
7505213015320
oct113204536467
928058018780
1010101112119
1143138a604a
121b5aa12bb3
13c4c930227
146bb763447
153e1bd2199
hex25a12bd37

10101112119 has 96 divisors (see below), whose sum is σ = 17573137920. Its totient is φ = 5469762816.

The previous prime is 10101112103. The next prime is 10101112121. The reversal of 10101112119 is 91121110101.

It is not a de Polignac number, because 10101112119 - 24 = 10101112103 is a prime.

It is a super-2 number, since 2×101011121192 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101112129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31864549 + ... + 31864865.

It is an arithmetic number, because the mean of its divisors is an integer number (183053520).

Almost surely, 210101112119 is an apocalyptic number.

10101112119 is a deficient number, since it is larger than the sum of its proper divisors (7472025801).

10101112119 is a wasteful number, since it uses less digits than its factorization.

10101112119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 626 counting only the distinct ones).

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

The spelling of 10101112119 in words is "ten billion, one hundred one million, one hundred twelve thousand, one hundred nineteen".

Divisors: 1 3 7 9 21 29 63 87 107 163 203 261 317 321 489 609 749 951 963 1141 1467 1827 2219 2247 2853 3103 3423 4727 6657 6741 9193 9309 10269 14181 17441 19971 21721 27579 27927 33089 33919 42543 51671 52323 64351 65163 82737 99267 101757 122087 155013 156969 193053 195489 237433 297801 305271 361697 366261 465039 505789 579159 712299 983651 1085091 1098783 1498459 1517367 2136897 2950953 3255273 3540523 4495377 4552101 5528797 6885557 8852859 10489213 10621569 13486131 16586391 20656671 31467639 31864707 38701579 49759173 61970013 94402917 116104737 160335113 348314211 481005339 1122345791 1443016017 3367037373 10101112119