Search a number
-
+
10003130210322 = 2331654711194969
BaseRepresentation
bin1001000110010000100100…
…0001011101100000010010
31022102021211100021102011000
42101210021001131200102
52302342402313212242
633135212524202430
72051462614605024
oct221441101354022
938367740242130
1010003130210322
11320733824a3a7
121156810099416
135773a2800192
14268222b4c014
1512530eb57a4c
hex9190905d812

10003130210322 has 32 divisors (see below), whose sum is σ = 22230523627200. Its totient is φ = 3334174929504.

The previous prime is 10003130210263. The next prime is 10003130210357. The reversal of 10003130210322 is 22301203130001.

10003130210322 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 3 + 130 + 210 + 322 = 666.

It is a super-2 number, since 2×100031302103222 (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 = 10003130210295 and 10003130210304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4703947 + ... + 6491022.

It is an arithmetic number, because the mean of its divisors is an integer number (694703863350).

Almost surely, 210003130210322 is an apocalyptic number.

10003130210322 is an abundant number, since it is smaller than the sum of its proper divisors (12227393416878).

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

10003130210322 is a wasteful number, since it uses less digits than its factorization.

10003130210322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11211527 (or 11211521 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10003130210322 its reverse (22301203130001), we get a palindrome (32304333340323).

The spelling of 10003130210322 in words is "ten trillion, three billion, one hundred thirty million, two hundred ten thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 16547 33094 49641 99282 148923 297846 446769 893538 11194969 22389938 33584907 67169814 100754721 201509442 302264163 604528326 185243152043 370486304086 555729456129 1111458912258 1667188368387 3334376736774 5001565105161 10003130210322