Search a number
-
+
2221022120121 = 33719101260631
BaseRepresentation
bin100000010100011111001…
…111000000100010111001
321212022211211221212221000
4200110133033000202321
5242342123130320441
64420153512035213
7316314666346020
oct40243717004271
97768754855830
102221022120121
11786a260a2a82
122ba547992b09
13131597c4177c
14796d88c18b7
153cb91cbd2b6
hex2051f3c08b9

2221022120121 has 96 divisors (see below), whose sum is σ = 3998025574400. Its totient is φ = 1190433672000.

The previous prime is 2221022120117. The next prime is 2221022120147. The reversal of 2221022120121 is 1210212201222.

It is a happy number.

2221022120121 is a `hidden beast` number, since 2 + 221 + 0 + 221 + 201 + 21 = 666.

It is not a de Polignac number, because 2221022120121 - 22 = 2221022120117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2221022120094 and 2221022120103.

It is not an unprimeable number, because it can be changed into a prime (2221022120021) 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, 36601476 + ... + 36662106.

Almost surely, 22221022120121 is an apocalyptic number.

2221022120121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2221022120121 is a deficient number, since it is larger than the sum of its proper divisors (1777003454279).

2221022120121 is a wasteful number, since it uses less digits than its factorization.

2221022120121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60868 (or 60761 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2221022120121 its reverse (1210212201222), we get a palindrome (3431234321343).

The spelling of 2221022120121 in words is "two trillion, two hundred twenty-one billion, twenty-two million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 7 9 19 21 27 57 63 101 133 171 189 303 399 513 707 909 1197 1919 2121 2727 3591 5757 6363 10201 13433 17271 19089 30603 40299 51813 60631 71407 91809 120897 181893 193819 214221 275427 362691 424417 545679 581457 642663 1151989 1273251 1356733 1637037 1744371 1927989 3455967 3819753 4070199 5233113 6123731 8063923 10367901 11459259 12210597 18371193 24191769 31103703 36631791 42866117 55113579 72575307 116350889 128598351 165340737 217725921 349052667 385795053 618496831 814456223 1047158001 1157385159 1855490493 2443368669 3141474003 4329477817 5566471479 7330106007 11751439789 12988433451 16699414437 21990318021 35254319367 38965300353 82260078523 105762958101 116895901059 246780235569 317288874303 740340706707 2221022120121