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201011202201110 = 257113191359370609
BaseRepresentation
bin101101101101000110010001…
…010011011001011000010110
3222100201111001021222021001212
4231231012101103121120112
5202321331420230413420
61551303134350021422
760224402656232150
oct5555062123313026
9870644037867055
10201011202201110
1159059410322794
121a665398aa7872
13882137632a192
14378cdcbb33ad0
151838b68ed63c5
hexb6d1914d9616

201011202201110 has 128 divisors (see below), whose sum is σ = 420521501491200. Its totient is φ = 67761136558080.

The previous prime is 201011202201097. The next prime is 201011202201113. The reversal of 201011202201110 is 11102202110102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201011202201113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 542195486 + ... + 542566094.

It is an arithmetic number, because the mean of its divisors is an integer number (3285324230400).

Almost surely, 2201011202201110 is an apocalyptic number.

201011202201110 is an abundant number, since it is smaller than the sum of its proper divisors (219510299290090).

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

201011202201110 is a wasteful number, since it uses less digits than its factorization.

201011202201110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371286.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201011202201110 its reverse (11102202110102), we get a palindrome (212113404311212).

The spelling of 201011202201110 in words is "two hundred one trillion, eleven billion, two hundred two million, two hundred one thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 70 113 191 226 359 382 565 718 791 955 1130 1337 1582 1795 1910 2513 2674 3590 3955 5026 6685 7910 12565 13370 21583 25130 40567 43166 68569 81134 107915 137138 151081 202835 215830 283969 302162 342845 370609 405670 479983 567938 685690 741218 755405 959966 1419845 1510810 1853045 2399915 2594263 2839690 3706090 4799830 5188526 7748297 12971315 15496594 25942630 38741485 41878817 54238079 70786319 77482970 83757634 108476158 133048631 141572638 209394085 266097262 271190395 293151719 353931595 418788170 495504233 542380790 586303438 665243155 707863190 931340417 991008466 1330486310 1465758595 1862680834 2477521165 2931517190 4656702085 4955042330 7998854047 9313404170 15034495303 15997708094 25412288521 30068990606 39994270235 50824577042 55991978329 75172476515 79988540470 105241467121 111983956658 127061442605 150344953030 177886019647 210482934242 254122885210 279959891645 355772039294 526207335605 559919783290 889430098235 1052414671210 1778860196470 2871588602873 5743177205746 14357943014365 20101120220111 28715886028730 40202240440222 100505601100555 201011202201110