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201000122111022 = 231317281705776441
BaseRepresentation
bin101101101100111011111100…
…111000001101010000101110
3222100200102110002211100212220
4231230323330320031100232
5202321141222230023042
61551254103101140210
760223531255066413
oct5554737470152056
9870612402740786
10201000122111022
1159054744962043
121a66320625a666
1388202cb940460
14378c65a37610a
15183871b3c68ec
hexb6cefce0d42e

201000122111022 has 128 divisors (see below), whose sum is σ = 460091903096448. Its totient is φ = 57992056012800.

The previous prime is 201000122110981. The next prime is 201000122111077. The reversal of 201000122111022 is 220111221000102.

It is a junction number, because it is equal to n+sod(n) for n = 201000122110992 and 201000122111010.

It is a congruent 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, 2629442322 + ... + 2629518762.

It is an arithmetic number, because the mean of its divisors is an integer number (3594467992941).

Almost surely, 2201000122111022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201000122111022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230045951548224).

201000122111022 is an abundant number, since it is smaller than the sum of its proper divisors (259091780985426).

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

201000122111022 is a wasteful number, since it uses less digits than its factorization.

201000122111022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83814.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201000122111022 its reverse (220111221000102), we get a palindrome (421111343111124).

The spelling of 201000122111022 in words is "two hundred one trillion, one hundred twenty-two million, one hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 281 442 562 663 843 1326 1686 3653 4777 7057 7306 9554 10959 14114 14331 21171 21918 28662 42342 62101 76441 91741 119969 124202 152882 183482 186303 229323 239938 275223 359907 372606 458646 550446 719814 993733 1299497 1559597 1983017 1987466 2598994 2981199 3119194 3898491 3966034 4678791 5949051 5962398 7796982 9357582 11898102 16893461 21479921 25779221 33711289 33786922 42959842 50680383 51558442 64439763 67422578 77337663 101133867 101360766 128879526 154675326 202267734 279238973 365158657 438246757 539444137 558477946 730317314 837716919 876493514 1078888274 1095475971 1314740271 1618332411 1675433838 2190951942 2629480542 3236664822 4747062541 7012773781 9170550329 9494125082 14025547562 14241187623 18341100658 21038321343 27511650987 28482375246 42076642686 55023301974 119217154277 151583802497 238434308554 303167604994 357651462831 454751407491 715302925662 909502814982 1970589432461 2576924642449 3941178864922 5153849284898 5911768297383 7730773927347 11823536594766 15461547854694 33500020351837 67000040703674 100500061055511 201000122111022