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211220212210202 = 213175312177408781
BaseRepresentation
bin110000000001101010001001…
…101101111101101000011010
31000200212110021202102002022002
4300001222021231331220122
5210141112443311211302
62025121120445001002
762330104522432526
oct6001521155755032
91020773252362262
10211220212210202
1161334a97325108
121b833a85853162
1390b1c9934a8a0
143a23181802d86
1519644c83a5c02
hexc01a89b7da1a

211220212210202 has 64 divisors (see below), whose sum is σ = 368391549736224. Its totient is φ = 89946619576320.

The previous prime is 211220212210193. The next prime is 211220212210207. The reversal of 211220212210202 is 202012212022112.

It can be written as a sum of positive squares in 16 ways, for example, as 5385783091441 + 205834429118761 = 2320729^2 + 14346931^2 .

It is a super-2 number, since 2×2112202122102022 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211220212210207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24805052 + ... + 32213832.

Almost surely, 2211220212210202 is an apocalyptic number.

211220212210202 is a deficient number, since it is larger than the sum of its proper divisors (157171337526022).

211220212210202 is a wasteful number, since it uses less digits than its factorization.

211220212210202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7410083.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 211220212210202 its reverse (202012212022112), we get a palindrome (413232424232314).

The spelling of 211220212210202 in words is "two hundred eleven trillion, two hundred twenty billion, two hundred twelve million, two hundred ten thousand, two hundred two".

Divisors: 1 2 13 17 26 34 53 106 221 442 689 901 1217 1378 1802 2434 11713 15821 20689 23426 31642 41378 64501 129002 268957 537914 838513 1096517 1677026 2193034 7408781 14254721 14817562 28509442 96314153 125949277 192628306 251898554 392665393 785330786 1637340601 3274681202 5104650109 6675311681 9016486477 10209300218 13350623362 18032972954 86779051853 117214324201 153280270109 173558103706 234428648402 306560540218 477873783281 955747566562 1992643511417 3985287022834 6212359182653 8123854315777 12424718365306 16247708631554 105610106105101 211220212210202