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211010012201021 = 1110911323933119687
BaseRepresentation
bin101111111110100110011000…
…110100100100000000111101
31000200010100201120000020122212
4233332212120310210000331
5210124142001110413041
62024440354505150205
762305653545020445
oct5776463064440075
91020110646006585
10211010012201021
1161263930960060
121b7bb1a218b365
13909820aa82a27
143a16d20bb7125
15195dcc47168eb
hexbfe998d2403d

211010012201021 has 64 divisors (see below), whose sum is σ = 236063971123200. Its totient is φ = 187020905702400.

The previous prime is 211010012201003. The next prime is 211010012201069. The reversal of 211010012201021 is 120102210010112.

It is not a de Polignac number, because 211010012201021 - 210 = 211010012199997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211010012200987 and 211010012201005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211010012203021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10718231240 + ... + 10718250926.

It is an arithmetic number, because the mean of its divisors is an integer number (3688499548800).

Almost surely, 2211010012201021 is an apocalyptic number.

It is an amenable number.

211010012201021 is a deficient number, since it is larger than the sum of its proper divisors (25053958922179).

211010012201021 is a wasteful number, since it uses less digits than its factorization.

211010012201021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20490.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211010012201021 its reverse (120102210010112), we get a palindrome (331112222211133).

The spelling of 211010012201021 in words is "two hundred eleven trillion, ten billion, twelve million, two hundred one thousand, twenty-one".

Divisors: 1 11 109 113 239 331 1199 1243 2629 3641 12317 19687 26051 27007 36079 37403 79109 135487 216557 286561 297077 396869 411433 870199 2145883 2224631 2943763 4076927 4705193 6516397 8622881 8939317 23604713 24470941 32381393 44846197 51757123 71680367 94851691 98332487 242484779 512866037 531686809 710287273 736352861 974385553 1557418883 2667332569 5641526407 5848554899 7813160003 8099881471 10718241083 17131607713 57953862181 80262461849 169758658247 175988333779 637492483991 882887080339 1867345240717 1935871671569 19182728381911 211010012201021