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10100022030 = 234571781309
BaseRepresentation
bin10010110100000001…
…00001101100001110
3222001212222021120000
421122000201230032
5131141101201110
64350114305130
7505200525240
oct113200415416
928055867500
1010100022030
11431322104a
121b5a5881a6
13c4c63acc7
146bb55c090
153e1a691c0
hex25a021b0e

10100022030 has 80 divisors (see below), whose sum is σ = 31037545440. Its totient is φ = 2308575168.

The previous prime is 10100022017. The next prime is 10100022061. The reversal of 10100022030 is 3022000101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 884985 + ... + 896324.

It is an arithmetic number, because the mean of its divisors is an integer number (387969318).

Almost surely, 210100022030 is an apocalyptic number.

10100022030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100022030 is an abundant number, since it is smaller than the sum of its proper divisors (20937523410).

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

10100022030 is a wasteful number, since it uses less digits than its factorization.

10100022030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781335 (or 1781326 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10100022030 its reverse (3022000101), we get a palindrome (13122022131).

The spelling of 10100022030 in words is "ten billion, one hundred million, twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1134 1890 2835 5670 1781309 3562618 5343927 8906545 10687854 12469163 16031781 17813090 24938326 26719635 32063562 37407489 48095343 53439270 62345815 74814978 80158905 96190686 112222467 124691630 144286029 160317810 187037445 224444934 240476715 288572058 336667401 374074890 480953430 561112335 673334802 721430145 1010002203 1122224670 1442860290 1683337005 2020004406 3366674010 5050011015 10100022030