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211201002122110 = 257111346345570197
BaseRepresentation
bin110000000001011000010000…
…101101010010101101111110
31000200210121200222020111110221
4300001120100231102231332
5210140304123020401420
62025104222334051554
762325524501405020
oct6001302055225576
91020717628214427
10211201002122110
1161327929776650
121b830204349bba
1390b0227503160
143a2227c3bc010
151963c51b6ccaa
hexc01610b52b7e

211201002122110 has 128 divisors (see below), whose sum is σ = 511529482727424. Its totient is φ = 60633879989760.

The previous prime is 211201002122059. The next prime is 211201002122119. The reversal of 211201002122110 is 11221200102112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211201002122119) 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, 18150469 + ... + 27419728.

It is an arithmetic number, because the mean of its divisors is an integer number (3996324083808).

Almost surely, 2211201002122110 is an apocalyptic number.

211201002122110 is an abundant number, since it is smaller than the sum of its proper divisors (300328480605314).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211201002122110 is a wasteful number, since it uses less digits than its factorization.

211201002122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45570698.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211201002122110 its reverse (11221200102112), we get a palindrome (222422202224222).

It can be divided in two parts, 211201002 and 122110, that added together give a palindrome (211323112).

The spelling of 211201002122110 in words is "two hundred eleven trillion, two hundred one billion, two million, one hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 463 715 770 910 926 1001 1430 2002 2315 3241 4630 5005 5093 6019 6482 10010 10186 12038 16205 25465 30095 32410 35651 42133 50930 60190 66209 71302 84266 132418 178255 210665 331045 356510 421330 463463 662090 926926 2317315 4634630 45570197 91140394 227850985 318991379 455701970 501272167 592412561 637982758 1002544334 1184825122 1594956895 2506360835 2962062805 3189913790 3508905169 4146887927 5012721670 5924125610 6516538171 7017810338 8293775854 13033076342 17544525845 20734439635 21099001211 32582690855 35089051690 41468879270 42198002422 45615767197 65165381710 91231534394 105495006055 147693008477 210990012110 228078835985 232089013321 274287015743 295386016954 456157671970 464178026642 548574031486 738465042385 1160445066605 1371435078715 1476930084770 1624623093247 1920009110201 2320890133210 2742870157430 3017157173173 3249246186494 3840018220402 6034314346346 8123115466235 9600045551005 15085785865865 16246230932470 19200091102010 21120100212211 30171571731730 42240200424422 105600501061055 211201002122110