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200002300333002 = 234431131090923291
BaseRepresentation
bin101101011110011010101010…
…000100001100101111001010
3222020011000220012010002020000
4231132122222010030233022
5202203314202341124002
61545211442141343430
760061455306653646
oct5536325204145712
9866130805102200
10200002300333002
11587aa554541602
121a521951867b76
13877a19ca1c77b
14375623d33bc26
15181c7baec961c
hexb5e6aa10cbca

200002300333002 has 160 divisors (see below), whose sum is σ = 462695935901760. Its totient is φ = 64532084037120.

The previous prime is 200002300332983. The next prime is 200002300333007. The reversal of 200002300333002 is 200333003200002.

200002300333002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (200002300333007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8587094977 + ... + 8587118267.

It is an arithmetic number, because the mean of its divisors is an integer number (2891849599386).

Almost surely, 2200002300333002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200002300333002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231347967950880).

200002300333002 is an abundant number, since it is smaller than the sum of its proper divisors (262693635568758).

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

200002300333002 is a wasteful number, since it uses less digits than its factorization.

200002300333002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34370 (or 34361 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 200002300333002 its reverse (200333003200002), we get a palindrome (400335303533004).

The spelling of 200002300333002 in words is "two hundred trillion, two billion, three hundred million, three hundred thirty-three thousand, two".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 113 129 162 226 258 339 387 678 774 1017 1161 2034 2322 3051 3483 4859 6102 6966 9153 9718 10909 14577 18306 21818 23291 29154 32727 43731 46582 65454 69873 87462 98181 131193 139746 196362 209619 262386 294543 393579 419238 469087 589086 628857 787158 883629 938174 1001513 1232717 1257714 1407261 1767258 1886571 2003026 2465434 2631883 2814522 3004539 3698151 3773142 4221783 5263766 6009078 7396302 7895649 8443566 9013617 11094453 12665349 15791298 18027234 22188906 23686947 25330698 27040851 33283359 37996047 47373894 53006831 54081702 66566718 71060841 75992094 81122553 99850077 106013662 113170969 142121682 159020493 162245106 199700154 213182523 226341938 254081519 318040986 339512907 426365046 477061479 508163038 679025814 762244557 954122958 1018538721 1431184437 1524489114 2037077442 2286733671 2862368874 3055616163 4293553311 4573467342 6111232326 6860201013 8587106622 9166848489 10925505317 13720402026 18333696978 20580603039 21851010634 28711211647 32776515951 41161206078 57422423294 65553031902 86133634941 98329547853 172267269882 196659095706 258400904823 294988643559 516801809646 589977287118 775202714469 884965930677 1234582100821 1550405428938 1769931861354 2325608143407 2469164201642 3703746302463 4651216286814 7407492604926 11111238907389 22222477814778 33333716722167 66667433444334 100001150166501 200002300333002