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101102000210211 = 372111346391036769
BaseRepresentation
bin10110111111001110100100…
…110011110000000100100011
3111020222020221020010111121010
4112333032210303300010203
5101222423344023211321
6555005341231432003
730203243546315400
oct2677164463600443
9436866836114533
10101102000210211
112a23a132438760
12b40a2b3385603
134454b54440150
141ad7511bcb2a7
15ba4d65b75676
hex5bf3a4cf0123

101102000210211 has 96 divisors (see below), whose sum is σ = 184265712691200. Its totient is φ = 48469982238720.

The previous prime is 101102000210209. The next prime is 101102000210243. The reversal of 101102000210211 is 112012000201101.

It is not a de Polignac number, because 101102000210211 - 21 = 101102000210209 is a prime.

It is a super-2 number, since 2×1011020002102112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101102000212211) 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, 96998035 + ... + 98034803.

It is an arithmetic number, because the mean of its divisors is an integer number (1919434507200).

Almost surely, 2101102000210211 is an apocalyptic number.

101102000210211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101102000210211 is a deficient number, since it is larger than the sum of its proper divisors (83163712480989).

101102000210211 is a wasteful number, since it uses less digits than its factorization.

101102000210211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041449 (or 1041442 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101102000210211 its reverse (112012000201101), we get a palindrome (213114000411312).

The spelling of 101102000210211 in words is "one hundred one trillion, one hundred two billion, two hundred ten thousand, two hundred eleven".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 143 147 231 273 429 539 637 1001 1617 1911 3003 4639 7007 13917 21021 32473 51029 60307 97419 153087 180921 227311 357203 422149 663377 681933 1036769 1071609 1266447 1990131 2500421 2955043 3110307 4643639 7257383 7501263 8865129 11404459 13477997 13930917 21772149 32505473 34213377 40433991 50801681 79831213 94345979 97516419 148257967 152405043 239493639 283037937 444773901 558818491 660421853 1037805769 1676455473 1981265559 3113417307 4809571391 7264640383 14428714173 21793921149 33666999737 52905285301 62524428083 101000999211 158715855903 187573284249 235668998159 370336997107 437670996581 687768708913 707006994477 1111010991321 1313012989743 2063306126739 2592358979749 3063696976067 4814380962391 7777076939247 9191090928201 14443142887173 33700666736737 101102000210211