Search a number
-
+
20004334233130 = 25132326973333931
BaseRepresentation
bin1001000110001100111110…
…01111000110011000101010
32121211101200110002100202201
410203012133033012120222
510110222334030430010
6110313510403450414
74133160023264032
oct443063717063052
977741613070681
1020004334233130
116412877187595
1222b0b83086a0a
13b2152922ac20
144d2301b368c2
1524a55a62d23a
hex12319f3c662a

20004334233130 has 128 divisors (see below), whose sum is σ = 40670645460480. Its totient is φ = 7029001774080.

The previous prime is 20004334233077. The next prime is 20004334233209. The reversal of 20004334233130 is 3133243340002.

It is a happy number.

It is a super-2 number, since 2×200043342331302 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 589542265 + ... + 589576195.

It is an arithmetic number, because the mean of its divisors is an integer number (317739417660).

Almost surely, 220004334233130 is an apocalyptic number.

20004334233130 is an abundant number, since it is smaller than the sum of its proper divisors (20666311227350).

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

20004334233130 is a wasteful number, since it uses less digits than its factorization.

20004334233130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34976.

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 20004334233130 its reverse (3133243340002), we get a palindrome (23137577573132).

The spelling of 20004334233130 in words is "twenty trillion, four billion, three hundred thirty-four million, two hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 5 10 13 23 26 46 65 115 130 230 269 299 538 598 733 1345 1466 1495 2690 2990 3497 3665 6187 6994 7330 9529 12374 16859 17485 19058 30935 33718 33931 34970 47645 61870 67862 80431 84295 95290 160862 168590 169655 197177 219167 339310 394354 402155 438334 441103 780413 804310 882206 985885 1095835 1560826 1971770 2191670 2205515 2563301 3902065 4411030 4535071 5126602 7804130 9070142 9127439 10145369 12816505 18254878 20290738 22675355 24871423 25633010 45350710 45637195 49742846 50726845 58955923 91274390 101453690 117911846 118656707 124357115 209931097 237313414 248714230 294779615 323328499 419862194 572042729 589559230 593283535 646656998 1049655485 1144085458 1186567070 1616642495 2099310970 2729104261 2860213645 3233284990 5458208522 5720427290 6690412787 7436555477 13380825574 13645521305 14873110954 27291042610 33452063935 37182777385 66904127870 74365554770 86975366231 153879494101 173950732462 307758988202 434876831155 769397470505 869753662310 1538794941010 2000433423313 4000866846626 10002167116565 20004334233130