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23233032202002 = 23771101166946219
BaseRepresentation
bin1010100100001010111001…
…01000011010011100010010
310001021001111221221012011020
411102011130220122130102
511021122222220431002
6121225035130300310
74615350124223640
oct522053450323422
9101231457835136
1023233032202002
117448089aa3207
122732873587696
13cc6b3377575c
145a46b026a190
152a452797d2bc
hex15215ca1a712

23233032202002 has 128 divisors (see below), whose sum is σ = 54418969497600. Its totient is φ = 6475696416000.

The previous prime is 23233032201997. The next prime is 23233032202027. The reversal of 23233032202002 is 20020223033232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 502649649 + ... + 502695867.

It is an arithmetic number, because the mean of its divisors is an integer number (425148199200).

Almost surely, 223233032202002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23233032202002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27209484748800).

23233032202002 is an abundant number, since it is smaller than the sum of its proper divisors (31185937295598).

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

23233032202002 is a wasteful number, since it uses less digits than its factorization.

23233032202002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48072.

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 23233032202002 its reverse (20020223033232), we get a palindrome (43253255235234).

The spelling of 23233032202002 in words is "twenty-three trillion, two hundred thirty-three billion, thirty-two million, two hundred two thousand, two".

Divisors: 1 2 3 6 7 14 21 42 71 101 142 202 213 303 426 497 606 707 994 1414 1491 1669 2121 2982 3338 4242 5007 7171 10014 11683 14342 21513 23366 35049 43026 46219 50197 70098 92438 100394 118499 138657 150591 168569 236998 277314 301182 323533 337138 355497 505707 647066 710994 829493 970599 1011414 1179983 1658986 1941198 2359966 2488479 3281549 3539949 4668119 4976958 6563098 7079898 9336238 9844647 11968399 14004357 19689294 22970843 23936798 28008714 32676833 35905197 45941686 65353666 68912529 71810394 77139511 83778793 98030499 137825058 154279022 167557586 196060998 231418533 251336379 331436449 462837066 502672758 539976577 662872898 994309347 1079953154 1619929731 1988618694 2320055143 3239859462 4640110286 5476905281 6960165429 7791090611 10953810562 13920330858 15582181222 16430715843 23373271833 32861431686 38338336967 46746543666 54537634277 76676673934 109075268554 115015010901 163612902831 230030021802 327225805662 553167433381 1106334866762 1659502300143 3319004600286 3872172033667 7744344067334 11616516101001 23233032202002