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10022131030122 = 2324361472144963
BaseRepresentation
bin1001000111010111010110…
…0011110101100001101010
31022111002212112200001211200
42101311311203311201222
52303200311020430442
633152034201505030
72053034515114101
oct221656543654152
938432775601750
1010022131030122
1132143a8765562
12115a4334a2176
13579110196b13
1426910645b038
15125a72d0534c
hex91d758f586a

10022131030122 has 96 divisors (see below), whose sum is σ = 22589150291136. Its totient is φ = 3208776076800.

The previous prime is 10022131030073. The next prime is 10022131030139. The reversal of 10022131030122 is 22103013122001.

10022131030122 is a `hidden beast` number, since 10 + 0 + 2 + 21 + 310 + 301 + 22 = 666.

It is a super-2 number, since 2×100221310301222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10022131030095 and 10022131030104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222874813 + ... + 222919775.

It is an arithmetic number, because the mean of its divisors is an integer number (235303648866).

Almost surely, 210022131030122 is an apocalyptic number.

10022131030122 is an abundant number, since it is smaller than the sum of its proper divisors (12567019261014).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10022131030122 is a wasteful number, since it uses less digits than its factorization.

10022131030122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49796 (or 49793 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10022131030122 its reverse (22103013122001), we get a palindrome (32125144152123).

The spelling of 10022131030122 in words is "ten trillion, twenty-two billion, one hundred thirty-one million, thirty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 43 61 86 122 129 183 258 366 387 549 774 1098 2623 4721 5246 7869 9442 14163 15738 23607 28326 42489 44963 47214 84978 89926 134889 203003 269778 287981 404667 406006 575962 609009 809334 863943 1218018 1727886 1827027 1933409 2591829 2742743 3654054 3866818 5183658 5485486 5800227 8228229 11600454 12383183 16456458 17400681 24684687 24766366 34801362 37149549 49369374 74299098 111448647 117937949 212270323 222897294 235875898 353813847 424540646 636810969 707627694 1061441541 1273621938 1910432907 2122883082 3820865814 9127623889 12948489703 18255247778 25896979406 27382871667 38845469109 54765743334 77690938218 82148615001 116536407327 164297230002 233072814654 556785057229 1113570114458 1670355171687 3340710343374 5011065515061 10022131030122