Search a number
-
+
100002211101222 = 23412712704355469
BaseRepresentation
bin10110101111001110010100…
…010001001111101000100110
3111010002010012000220002221120
4112233032110101033220212
5101101414012020214342
6552404214230154410
730030631005165423
oct2657162421175046
9433063160802846
10100002211101222
1129955777129261
12b2711221b2a06
1343a5225263471
141a9a1c073cd4a
15b86448980aec
hex5af39444fa26

100002211101222 has 64 divisors (see below), whose sum is σ = 205649914659840. Its totient is φ = 32399258169600.

The previous prime is 100002211101137. The next prime is 100002211101241. The reversal of 100002211101222 is 222101112200001.

It is a super-3 number, since 3×1000022111012223 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1802820904 + ... + 1802876372.

It is an arithmetic number, because the mean of its divisors is an integer number (3213279916560).

Almost surely, 2100002211101222 is an apocalyptic number.

100002211101222 is an abundant number, since it is smaller than the sum of its proper divisors (105647703558618).

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

100002211101222 is a wasteful number, since it uses less digits than its factorization.

100002211101222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82829.

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

Adding to 100002211101222 its reverse (222101112200001), we get a palindrome (322103323301223).

The spelling of 100002211101222 in words is "one hundred trillion, two billion, two hundred eleven million, one hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 41 82 123 246 271 542 813 1626 11111 22222 27043 33333 54086 55469 66666 81129 110938 162258 166407 332814 1108763 2217526 2274229 3326289 4548458 6652578 6822687 7328653 13645374 14657306 15032099 21985959 30064198 43971918 45096297 90192594 300474773 600949546 616316059 901424319 1232632118 1500048167 1802848638 1848948177 3000096334 3697896354 4500144501 9000289002 61501974847 123003949694 184505924541 369011849082 406513053257 813026106514 1219539159771 2439078319542 16667035183537 33334070367074 50001105550611 100002211101222