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20001200202258 = 231110710927195881
BaseRepresentation
bin1001000110000111001000…
…11011101110001000010010
32121211002121000212002122020
410203003210123232020102
510110144424222433013
6110312231410352310
74133016246411552
oct443034433561022
977732530762566
1020001200202258
1164115090a1830
1222b044958b696
13b21149b492a2
144d20c5801162
1524a425411623
hex1230e46ee212

20001200202258 has 128 divisors (see below), whose sum is σ = 44615413370880. Its totient is φ = 5927224896000.

The previous prime is 20001200202257. The next prime is 20001200202299. The reversal of 20001200202258 is 85220200210002.

It is not an unprimeable number, because it can be changed into a prime (20001200202257) by changing a digit.

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, 208556478 + ... + 208652358.

It is an arithmetic number, because the mean of its divisors is an integer number (348557916960).

Almost surely, 220001200202258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20001200202258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22307706685440).

20001200202258 is an abundant number, since it is smaller than the sum of its proper divisors (24614213168622).

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

20001200202258 is a wasteful number, since it uses less digits than its factorization.

20001200202258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96384.

The product of its (nonzero) digits is 1280, while the sum is 24.

The spelling of 20001200202258 in words is "twenty trillion, one billion, two hundred million, two hundred two thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 11 22 33 66 107 109 214 218 271 321 327 542 642 654 813 1177 1199 1626 2354 2398 2981 3531 3597 5962 7062 7194 8943 11663 17886 23326 28997 29539 34989 57994 59078 69978 86991 88617 95881 128293 173982 177234 191762 256586 287643 318967 324929 384879 575286 637934 649858 769758 956901 974787 1054691 1913802 1949574 2109382 3160673 3164073 6321346 6328146 9482019 10259267 10451029 18964038 20518534 20902058 25983751 30777801 31353087 34767403 51967502 61555602 62706174 69534806 77951253 104302209 112851937 114961319 155902506 208604418 225703874 229922638 285821261 338555811 344883957 571642522 677111622 689767914 857463783 1118260103 1714927566 2236520206 2780261357 2832228859 3354780309 5560522714 5664457718 6709560618 8340784071 8496686577 12300861133 16681568142 16993373154 24601722266 30582874927 31154517449 36902583399 61165749854 62309034898 73805166798 91748624781 93463552347 183497249562 186927104694 303048487913 606096975826 909145463739 1818290927478 3333533367043 6667066734086 10000600101129 20001200202258