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10122133030 = 251729283853
BaseRepresentation
bin10010110110101001…
…10111111000100110
3222010102120122010221
421123110313320212
5131212231224110
64352224234554
7505556465632
oct113324677046
928112518127
1010122133030
1143247533a9
121b65a6ba5a
13c540b0239
146c0475dc2
153e39857da
hex25b537e26

10122133030 has 96 divisors (see below), whose sum is σ = 20244186144. Its totient is φ = 3630692352.

The previous prime is 10122133009. The next prime is 10122133037. The reversal of 10122133030 is 3033122101.

It is a super-3 number, since 3×101221330303 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10122132995 and 10122133013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122133037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11866084 + ... + 11866936.

It is an arithmetic number, because the mean of its divisors is an integer number (210876939).

Almost surely, 210122133030 is an apocalyptic number.

10122133030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10122133030 is a deficient number, since it is larger than the sum of its proper divisors (10122053114).

10122133030 is a wasteful number, since it uses less digits than its factorization.

10122133030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10122133030 its reverse (3033122101), we get a palindrome (13155255131).

The spelling of 10122133030 in words is "ten billion, one hundred twenty-two million, one hundred thirty-three thousand, thirty".

Divisors: 1 2 5 10 17 29 34 58 83 85 145 166 170 290 415 493 830 841 853 986 1411 1682 1706 2407 2465 2822 4205 4265 4814 4930 7055 8410 8530 12035 14110 14297 14501 24070 24737 28594 29002 40919 49474 69803 70799 71485 72505 81838 123685 139606 141598 142970 145010 204595 247370 349015 353995 409190 420529 698030 707990 717373 841058 1186651 1203583 1434746 2053171 2102645 2373302 2407166 3586865 4106342 4205290 5933255 6017915 7173730 10265855 11866510 12035830 12195341 20531710 24390682 34903907 59541959 60976705 69807814 119083918 121953410 174519535 297709795 349039070 595419590 1012213303 2024426606 5061066515 10122133030