Search a number
-
+
10003130210295 = 345175351271517
BaseRepresentation
bin1001000110010000100100…
…0001011101011111110111
31022102021211100021102010000
42101210021001131133313
52302342402313212140
633135212524202343
72051462614604655
oct221441101353767
938367740242100
1010003130210295
11320733824a382
1211568100993b3
135773a2800171
14268222b4bdd5
1512530eb57a30
hex9190905d7f7

10003130210295 has 80 divisors (see below), whose sum is σ = 18989951542848. Its totient is φ = 5020222233600.

The previous prime is 10003130210263. The next prime is 10003130210357. The reversal of 10003130210295 is 59201203130001.

10003130210295 is a `hidden beast` number, since 100 + 0 + 31 + 30 + 210 + 295 = 666.

10003130210295 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10003130210295 - 25 = 10003130210263 is a prime.

It is a super-2 number, since 2×100031302102952 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36705877 + ... + 36977393.

Almost surely, 210003130210295 is an apocalyptic number.

10003130210295 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10003130210295 is a deficient number, since it is larger than the sum of its proper divisors (8986821332553).

10003130210295 is a wasteful number, since it uses less digits than its factorization.

10003130210295 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276902 (or 276893 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 10003130210295 its reverse (59201203130001), we get a palindrome (69204333340296).

The spelling of 10003130210295 in words is "ten trillion, three billion, one hundred thirty million, two hundred ten thousand, two hundred ninety-five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 153 255 405 459 765 1377 2295 5351 6885 16053 26755 48159 80265 90967 144477 240795 271517 272901 433431 454835 722385 814551 818703 1357585 1364505 2167155 2443653 2456109 4072755 4093515 4615789 7330959 7368327 12218265 12280545 13847367 21992877 23078945 36654795 36841635 41542101 69236835 109964385 124626303 207710505 373878909 623131515 1452887467 1869394545 4358662401 7264437335 13075987203 21793312005 24699086939 39227961609 65379936015 74097260817 117683884827 123495434695 196139808045 222291782451 370486304085 588419424135 666875347353 1111458912255 2000626042059 3334376736765 10003130210295