Search a number
-
+
200010100012002 = 233717206271508951
BaseRepresentation
bin101101011110100001111010…
…111101100111001111100010
3222020011210000202120211101000
4231132201322331213033202
5202203431141100341002
61545215212123452430
760062152506101610
oct5536417275471742
9866153022524330
10200010100012002
1158802897227905
121a523369987116
13877ab438c5447
14375677d17c6b0
15181cac5b0561c
hexb5e87af673e2

200010100012002 has 128 divisors (see below), whose sum is σ = 537868716871680. Its totient is φ = 53781585465600.

The previous prime is 200010100011983. The next prime is 200010100012043. The reversal of 200010100012002 is 200210001010002.

It is a super-2 number, since 2×2000101000120022 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131794627 + ... + 133303577.

It is an arithmetic number, because the mean of its divisors is an integer number (4202099350560).

Almost surely, 2200010100012002 is an apocalyptic number.

200010100012002 is an abundant number, since it is smaller than the sum of its proper divisors (337858616859678).

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

200010100012002 is a wasteful number, since it uses less digits than its factorization.

200010100012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529613 (or 1529607 counting only the distinct ones).

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

Adding to 200010100012002 its reverse (200210001010002), we get a palindrome (400220101022004).

The spelling of 200010100012002 in words is "two hundred trillion, ten billion, one hundred million, twelve thousand, two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 714 918 1071 2142 3213 6426 20627 41254 61881 123762 144389 185643 288778 350659 371286 433167 556929 701318 866334 1051977 1113858 1299501 1508951 2103954 2454613 2599002 3017902 3155931 3898503 4526853 4909226 6311862 7363839 7797006 9053706 9467793 10562657 13580559 14727678 18935586 21125314 22091517 25652167 27161118 31687971 40741677 44183034 51304334 63375942 66274551 76956501 81483354 95063913 132549102 153913002 179565169 190127826 230869503 285191739 359130338 461739006 538695507 570383478 692608509 1077391014 1385217018 1616086521 3232173042 4848259563 9696519126 31125132277 62250264554 93375396831 186750793662 217875925939 280126190493 435751851878 529127248709 560252380986 653627777817 840378571479 1058254497418 1307255555634 1587381746127 1680757142958 1960883333451 3174763492254 3703890740963 3921766666902 4762145238381 5882650000353 7407781481926 9524290476762 11111672222889 11765300000706 14286435715143 22223344445778 28572871430286 33335016668667 66670033337334 100005050006001 200010100012002