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22212020313 = 357241173263
BaseRepresentation
bin10100101011111100…
…001000100001011001
32010022222211112200000
4110223330020201121
5330442234122223
614112024403213
71414302025500
oct245374104131
963288745600
1022212020313
11946911968a
12437a916509
13212ca575b2
141109db1837
158a005e543
hex52bf08859

22212020313 has 144 divisors (see below), whose sum is σ = 40029365376. Its totient is φ = 12264618240.

The previous prime is 22212020309. The next prime is 22212020333. The reversal of 22212020313 is 31302021222.

It is not a de Polignac number, because 22212020313 - 22 = 22212020309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22212020333) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 84456220 + ... + 84456482.

It is an arithmetic number, because the mean of its divisors is an integer number (277981704).

Almost surely, 222212020313 is an apocalyptic number.

It is an amenable number.

22212020313 is a deficient number, since it is larger than the sum of its proper divisors (17817345063).

22212020313 is a wasteful number, since it uses less digits than its factorization.

22212020313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22212020313 its reverse (31302021222), we get a palindrome (53514041535).

Subtracting 22212020313 from its reverse (31302021222), we obtain a palindrome (9090000909).

The spelling of 22212020313 in words is "twenty-two billion, two hundred twelve million, twenty thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 27 41 49 63 81 123 147 173 189 243 263 287 369 441 519 567 789 861 1107 1211 1323 1557 1701 1841 2009 2367 2583 3321 3633 3969 4671 5523 6027 7093 7101 7749 8477 9963 10783 10899 11907 12887 14013 16569 18081 21279 21303 23247 25431 32349 32697 38661 42039 45499 49651 49707 54243 63837 63909 69741 75481 76293 97047 98091 115983 136497 148953 149121 162729 191511 226443 228879 291141 294273 318493 347557 347949 409491 446859 447363 488187 528367 574533 679329 686637 873423 955479 1042671 1043847 1228473 1340577 1585101 1723599 1865459 2037987 2059911 2229451 2620269 2866437 3128013 3131541 3685419 4021731 4755303 5596377 6113961 6688353 8599311 9384039 11056257 12065193 13058213 14265909 16789131 18341883 20065059 25797933 28152117 39174639 42797727 50367393 60195177 77393799 84456351 91407491 117523917 128393181 151102179 180585531 274222473 352571751 453306537 541756593 822667419 1057715253 2468002257 3173145759 7404006771 22212020313