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10012199967 = 357111928163
BaseRepresentation
bin10010101001100011…
…00000110000011111
3221211202201110100000
421110301200300133
5131001110344332
64333300105343
7503053203240
oct112461406037
927752643300
1010012199967
114278698030
121b35095253
13c3739c4a3
146ada1acc7
153d8ebcb7c
hex254c60c1f

10012199967 has 96 divisors (see below), whose sum is σ = 19683256320. Its totient is φ = 4927223520.

The previous prime is 10012199947. The next prime is 10012199969. The reversal of 10012199967 is 76999121001.

It is not a de Polignac number, because 10012199967 - 27 = 10012199839 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012199969) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 341428 + ... + 369590.

It is an arithmetic number, because the mean of its divisors is an integer number (205033920).

Almost surely, 210012199967 is an apocalyptic number.

10012199967 is a deficient number, since it is larger than the sum of its proper divisors (9671056353).

10012199967 is a wasteful number, since it uses less digits than its factorization.

10012199967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28215 (or 28203 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 45.

The spelling of 10012199967 in words is "ten billion, twelve million, one hundred ninety-nine thousand, nine hundred sixty-seven".

Divisors: 1 3 7 9 11 19 21 27 33 57 63 77 81 99 133 171 189 209 231 243 297 399 513 567 627 693 891 1197 1463 1539 1701 1881 2079 2673 3591 4389 4617 5643 6237 10773 13167 16929 18711 28163 32319 39501 50787 84489 118503 197141 253467 309793 355509 535097 591423 760401 929379 1605291 1774269 2168551 2281203 2788137 3745679 4815873 5322807 5886067 6505653 6843609 8364411 11237037 14447619 15968421 17658201 19516959 25093233 33711111 41202469 43342857 47905263 52974603 58550877 75279699 101133333 123607407 130028571 158923809 175652631 303399999 370822221 476771427 526957893 910199997 1112466663 1430314281 3337399989 10012199967