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200101112201011 = 71722966110934721
BaseRepresentation
bin101101011111110110101011…
…101101100011111100110011
3222020111110221120002001210011
4231133312223231203330303
5202211424034210413021
61545325103142515351
760101554045663540
oct5537665355437463
9866443846061704
10200101112201011
115883845023753a
121a538b29735b57
1387865b9331918
14375ad3467bbc7
151820150c6ede1
hexb5fdabb63f33

200101112201011 has 96 divisors (see below), whose sum is σ = 251971204106880. Its totient is φ = 155448579686400.

The previous prime is 200101112200973. The next prime is 200101112201063. The reversal of 200101112201011 is 110102211101002.

It is a happy number.

It is not a de Polignac number, because 200101112201011 - 213 = 200101112192819 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 200101112200982 and 200101112201000.

It is not an unprimeable number, because it can be changed into a prime (200101112201411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42385321131 + ... + 42385325851.

It is an arithmetic number, because the mean of its divisors is an integer number (2624700042780).

Almost surely, 2200101112201011 is an apocalyptic number.

200101112201011 is a deficient number, since it is larger than the sum of its proper divisors (51870091905869).

200101112201011 is a wasteful number, since it uses less digits than its factorization.

200101112201011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6545 (or 6528 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 200101112201011 its reverse (110102211101002), we get a palindrome (310203323302013).

The spelling of 200101112201011 in words is "two hundred trillion, one hundred one billion, one hundred twelve million, two hundred one thousand, eleven".

Divisors: 1 7 17 29 119 203 289 493 661 1093 2023 3451 4627 4721 7651 8381 11237 18581 19169 31697 33047 58667 78659 80257 130067 134183 136909 191029 221879 315877 325873 538849 561799 722473 958363 1337203 1364369 2211139 2281111 2327453 3120581 3771943 5057311 5160053 5539841 9160433 9550583 12282041 16292171 20951717 21844067 36120371 38778887 39566701 53049877 64123031 85974287 87720901 90496849 146662019 149641537 208794697 276966907 356179189 371349139 614046307 633477943 901847909 1047490759 1461562879 1491255317 1538446433 2493254323 2543906129 3410795033 6055046213 6312935363 10438787219 10769125031 17807342903 23875565231 26153589361 42385323491 43246404193 57983515561 98913055957 183075125527 302724829351 405884608927 692391391699 985719764537 1681521951269 6900038351759 11770653658883 28585873171573 200101112201011