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102233030110029 = 327134117531736767
BaseRepresentation
bin10111001111101011111011…
…011100011010101101001101
3111101222101022122102111122200
4113033223323130122231031
5101344441221202010104
61001233112231432113
730351043534663230
oct2717537334325515
9441871278374580
10102233030110029
112a63586a318755
12b571542b25639
1345076c1a88b90
141b361683d1417
15bc44b088ab39
hex5cfafb71ab4d

102233030110029 has 96 divisors (see below), whose sum is σ = 186286791634944. Its totient is φ = 52579826472960.

The previous prime is 102233030110021. The next prime is 102233030110069. The reversal of 102233030110029 is 920011030332201.

102233030110029 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 330 + 301 + 1 + 0 + 0 + 29 = 666.

It is not a de Polignac number, because 102233030110029 - 23 = 102233030110021 is a prime.

It is a super-2 number, since 2×1022330301100292 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102233030109984 and 102233030110011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102233030110021) 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, 57995604 + ... + 59732370.

It is an arithmetic number, because the mean of its divisors is an integer number (1940487412864).

Almost surely, 2102233030110029 is an apocalyptic number.

It is an amenable number.

102233030110029 is a deficient number, since it is larger than the sum of its proper divisors (84053761524915).

102233030110029 is a wasteful number, since it uses less digits than its factorization.

102233030110029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738587 (or 1738584 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 102233030110029 in words is "one hundred two trillion, two hundred thirty-three billion, thirty million, one hundred ten thousand, twenty-nine".

Divisors: 1 3 7 9 13 21 39 41 63 91 117 123 273 287 369 533 819 861 1599 1753 2583 3731 4797 5259 11193 12271 15777 22789 33579 36813 68367 71873 110439 159523 205101 215619 478569 503111 646857 934349 1435707 1509333 1736767 2803047 4527999 5210301 6540443 8409141 12157369 15630903 19621329 22577971 36472107 58863987 67733913 71207447 109416321 158045797 203201739 213622341 474137391 498452129 640867023 925696811 1422412173 1495356387 2777090433 3044552551 4486069161 6479877677 8331271299 9133657653 19439633031 21311867857 27400972959 39579183163 58318899093 63935603571 118737549489 124826654591 191806810713 277054282141 356212648467 374479963773 831162846423 873786582137 1123439891319 1622746509683 2493488539269 2621359746411 4868239529049 7864079239233 11359225567781 14604718587147 34077676703343 102233030110029