Search a number
-
+
10222011020221 = 7111325330494861
BaseRepresentation
bin1001010010111111111101…
…0101011111001110111101
31100012012210112010121200221
42110233333111133032331
52314434134310121341
633423532123421341
72103341651026030
oct224577725371675
940165715117627
1010222011020221
113291148808520
121191116984851
13591c15687700
14274a6861d017
1512ad70970ed1
hex94bff55f3bd

10222011020221 has 96 divisors (see below), whose sum is σ = 14067951955200. Its totient is φ = 7209919641600.

The previous prime is 10222011020213. The next prime is 10222011020233. The reversal of 10222011020221 is 12202011022201.

It is a happy number.

It is not a de Polignac number, because 10222011020221 - 23 = 10222011020213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10222011020195 and 10222011020204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222011020201) 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, 2102859331 + ... + 2102864191.

It is an arithmetic number, because the mean of its divisors is an integer number (146541166200).

Almost surely, 210222011020221 is an apocalyptic number.

10222011020221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10222011020221 is a deficient number, since it is larger than the sum of its proper divisors (3845940934979).

10222011020221 is a wasteful number, since it uses less digits than its factorization.

10222011020221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8007 (or 7994 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10222011020221 its reverse (12202011022201), we get a palindrome (22424022042422).

The spelling of 10222011020221 in words is "ten trillion, two hundred twenty-two billion, eleven million, twenty thousand, two hundred twenty-one".

Divisors: 1 7 11 13 53 77 91 143 169 371 583 689 1001 1183 1859 3049 4081 4823 4861 7579 8957 13013 21343 33539 34027 39637 53053 53471 62699 63193 98527 161597 234773 257633 277459 374297 436007 442351 515281 689689 695123 821509 1131179 1777567 1803431 2100761 2833963 3052049 3349229 3606967 4865861 5668091 5750563 9036599 12442969 14705327 14821189 19837741 23108371 23444603 27309893 36841519 39676637 43539977 63256193 103748323 161758597 163033079 191169251 192675457 257890633 300408823 304779839 478939747 785523017 1141231553 1348728199 2102861761 2119430027 2504780941 3352578229 5498661119 8640753187 10211799221 14836010189 17533466587 27552590351 60485272309 71482594547 112329791431 132753389873 192868132457 786308540017 929273729111 1460287288603 10222011020221