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2002001200199 = 731113194745707
BaseRepresentation
bin11101001000100000100…
…100100000010001000111
321002101111220110100112222
4131020200210200101013
5230300044301401244
64131412345402555
7264432312266000
oct35104044402107
97071456410488
102002001200199
11702053538150
1228400219945b
13116a3203bac0
146cc7c57c1a7
1537123a2abee
hex1d220920447

2002001200199 has 128 divisors (see below), whose sum is σ = 2948714496000. Its totient is φ = 1335156359040.

The previous prime is 2002001200183. The next prime is 2002001200201. The reversal of 2002001200199 is 9910021002002.

It is a happy number.

It is not a de Polignac number, because 2002001200199 - 24 = 2002001200183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002001200159) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43777904 + ... + 43823610.

It is an arithmetic number, because the mean of its divisors is an integer number (23036832000).

Almost surely, 22002001200199 is an apocalyptic number.

2002001200199 is a deficient number, since it is larger than the sum of its proper divisors (946713295801).

2002001200199 is a wasteful number, since it uses less digits than its factorization.

2002001200199 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45818 (or 45804 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The spelling of 2002001200199 in words is "two trillion, two billion, one million, two hundred thousand, one hundred ninety-nine".

Divisors: 1 7 11 13 19 47 49 77 91 133 143 209 247 329 343 517 539 611 637 893 931 1001 1463 1729 2303 2717 3619 3773 4277 4459 6251 6517 6721 7007 9823 10241 11609 12103 16121 19019 25333 29939 43757 45707 47047 49049 68761 71687 81263 84721 127699 133133 177331 209573 306299 319949 329329 481327 502777 568841 594191 868433 893893 931931 2148229 2239643 2305303 3369289 3519439 3981887 4159337 6079031 6257251 6536101 9552763 11289629 15037603 15677501 23630519 24636073 27926977 29115359 40816351 42553217 43800757 45752707 66869341 79027403 105263221 124185919 165413633 172452511 195488839 203807513 285714457 297872519 307196747 320268949 448979861 468085387 530612563 553191821 736842547 869301433 1157895431 1368421873 2000001199 2150377229 2241882643 3142859027 3276597709 3714287941 3872342747 5836738193 6085110031 8105268017 9578953111 14000008393 15052640603 22000013189 26000015587 40857167351 42595770217 105368484221 154000092323 182000109109 286000171457 2002001200199