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204233042023122 = 237213910194904443
BaseRepresentation
bin101110011011111110110101…
…111010111101001011010010
3222210010111011212000010121010
4232123332311322331023102
5203232123232224214442
62002211210402511350
761006231112661600
oct5633766572751322
9883114155003533
10204233042023122
115a090823972142
121aaa5894665556
1389c6129a77748
143860d094b4870
1518928841dcb9c
hexb9bfb5ebd2d2

204233042023122 has 96 divisors (see below), whose sum is σ = 479042548588800. Its totient is φ = 57875632913952.

The previous prime is 204233042023069. The next prime is 204233042023139. The reversal of 204233042023122 is 221320240332402.

It is a super-2 number, since 2×2042330420231222 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 204233042023122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39190233 + ... + 44094675.

It is an arithmetic number, because the mean of its divisors is an integer number (4990026547800).

Almost surely, 2204233042023122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204233042023122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239521274294400).

204233042023122 is an abundant number, since it is smaller than the sum of its proper divisors (274809506565678).

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

204233042023122 is a wasteful number, since it uses less digits than its factorization.

204233042023122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4905620 (or 4905613 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 204233042023122 its reverse (221320240332402), we get a palindrome (425553282355524).

The spelling of 204233042023122 in words is "two hundred four trillion, two hundred thirty-three billion, forty-two million, twenty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 139 147 278 294 417 834 973 1019 1946 2038 2919 3057 5838 6114 6811 7133 13622 14266 20433 21399 40866 42798 49931 99862 141641 149793 283282 299586 424923 849846 991487 1982974 2974461 4904443 5948922 6940409 9808886 13880818 14713329 20821227 29426658 34331101 41642454 68662202 102993303 205986606 240317707 480635414 681717577 720953121 1363435154 1441906242 2045152731 4090305462 4772023039 4997627417 9544046078 9995254834 14316069117 14992882251 28632138234 29985764502 33404161273 34983391919 66808322546 69966783838 100212483819 104950175757 200424967638 209900351514 244883743433 489767486866 694670210963 734651230299 1389340421926 1469302460598 2084010632889 4168021265778 4862691476741 9725382953482 14588074430223 29176148860446 34038840337187 68077680674374 102116521011561 204233042023122