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200102001021 = 33132131557601
BaseRepresentation
bin1011101001011100000…
…0100011100101111101
3201010111110012212121000
42322113000203211331
511234302103013041
6231531532200513
720312466642036
oct2722700434575
9633443185530
10200102001021
11779543aa06a
1232945909139
1315b3c4b3700
149983873a8d
1553123c1bb6
hex2e9702397d

200102001021 has 96 divisors (see below), whose sum is σ = 324575475840. Its totient is φ = 121777344000.

The previous prime is 200102001017. The next prime is 200102001037. The reversal of 200102001021 is 120100201002.

It is not a de Polignac number, because 200102001021 - 22 = 200102001017 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 200102000994 and 200102001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200102001721) 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, 332948121 + ... + 332948721.

It is an arithmetic number, because the mean of its divisors is an integer number (3380994540).

Almost surely, 2200102001021 is an apocalyptic number.

It is an amenable number.

200102001021 is a deficient number, since it is larger than the sum of its proper divisors (124473474819).

200102001021 is a wasteful number, since it uses less digits than its factorization.

200102001021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200102001021 its reverse (120100201002), we get a palindrome (320202202023).

The spelling of 200102001021 in words is "two hundred billion, one hundred two million, one thousand, twenty-one".

Divisors: 1 3 9 13 27 39 117 131 169 351 393 507 557 601 1179 1521 1671 1703 1803 3537 4563 5013 5109 5409 7241 7813 15039 15327 16227 21723 22139 23439 45981 65169 66417 70317 72967 78731 94133 101569 195507 199251 210951 218901 236193 282399 304707 334757 597753 656703 708579 847197 914121 948571 1004271 1023503 1970109 2125737 2541591 2742363 2845713 3012813 3070509 4351841 8537139 9038439 9211527 12331423 13055523 13305539 25611417 27634581 36994269 39166569 39916617 43853167 56573933 110982807 117499707 119749851 131559501 169721799 332948421 359249553 394678503 509165397 570091171 1184035509 1527496191 1710273513 5130820539 7411185223 15392461617 22233555669 66700667007 200102001021