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201001202221314 = 231129541631307631
BaseRepresentation
bin101101101100111100111101…
…010000100000000100000010
3222100200112020101020122122210
4231230330331100200010002
5202321200430232040224
61551254402203442550
760223600111633125
oct5554747520400402
9870615211218583
10201001202221314
1159055149621980
121a663467b26456
138820441648c81
14378c71d9b83bc
15183878112e429
hexb6cf3d420102

201001202221314 has 128 divisors (see below), whose sum is σ = 455230781890560. Its totient is φ = 58607206560000.

The previous prime is 201001202221273. The next prime is 201001202221331. The reversal of 201001202221314 is 413122202100102.

It is a happy number.

It is a Curzon number.

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, 653230279 + ... + 653537909.

It is an arithmetic number, because the mean of its divisors is an integer number (3556490483520).

Almost surely, 2201001202221314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201001202221314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227615390945280).

201001202221314 is an abundant number, since it is smaller than the sum of its proper divisors (254229579669246).

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

201001202221314 is a wasteful number, since it uses less digits than its factorization.

201001202221314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308848.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 201001202221314 its reverse (413122202100102), we get a palindrome (614123404321416).

The spelling of 201001202221314 in words is "two hundred one trillion, one billion, two hundred two million, two hundred twenty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 541 631 638 957 1082 1262 1623 1893 1914 3246 3786 5951 6941 11902 13882 15689 17853 18299 20823 31378 35706 36598 41646 47067 54897 94134 109794 172579 201289 307631 341371 345158 402578 517737 603867 615262 682742 922893 1024113 1035474 1207734 1845786 2048226 3383941 3755081 6767882 7510162 8921299 9899759 10151823 11265243 17842598 19799518 20303646 22530486 26763897 29699277 53527794 59398554 98134289 108897349 166428371 194115161 196268578 217794698 294402867 326692047 332856742 388230322 499285113 582345483 588805734 653384094 998570226 1164690966 1830712081 2135266771 3661424162 4270533542 4826422759 5492136243 5629339669 6405800313 9652845518 10984272486 11258679338 12811600626 14479268277 16888019007 28958536554 33776038014 53090650349 61922736359 105016302101 106181300698 123845472718 159271951047 185768209077 210032604202 315048906303 318543902094 371536418154 630097812606 1155179323111 2310358646222 3045472760929 3465537969333 6090945521858 6931075938666 9136418282787 18272836565574 33500200370219 67000400740438 100500601110657 201001202221314