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21221210221002 = 2361110712366197
BaseRepresentation
bin1001101001100111100101…
…01100100110100111001010
32210010201122121221111000000
410310303302230212213022
510240142014304033002
6113044520035223430
74320116241436641
oct464636254464712
983121577844000
1021221210221002
116841956a300a0
122468990447b76
13bac1c7c08b6c
1453517d69c358
1526c02bb9661c
hex134cf2b269ca

21221210221002 has 112 divisors (see below), whose sum is σ = 52551197161632. Its totient is φ = 6370569531360.

The previous prime is 21221210220949. The next prime is 21221210221007. The reversal of 21221210221002 is 20012201212212.

It is a happy number.

21221210221002 is a `hidden beast` number, since 21 + 221 + 210 + 2 + 210 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21221210221007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4467033 + ... + 7899164.

Almost surely, 221221210221002 is an apocalyptic number.

21221210221002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21221210221002 is an abundant number, since it is smaller than the sum of its proper divisors (31329986940630).

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

21221210221002 is a wasteful number, since it uses less digits than its factorization.

21221210221002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12366335 (or 12366320 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21221210221002 its reverse (20012201212212), we get a palindrome (41233411433214).

The spelling of 21221210221002 in words is "twenty-one trillion, two hundred twenty-one billion, two hundred ten million, two hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 107 162 198 214 243 297 321 486 594 642 729 891 963 1177 1458 1782 1926 2354 2673 2889 3531 5346 5778 7062 8019 8667 10593 16038 17334 21186 26001 31779 52002 63558 78003 95337 156006 190674 286011 572022 858033 1716066 12366197 24732394 37098591 74197182 111295773 136028167 222591546 272056334 333887319 408084501 667774638 816169002 1001661957 1224253503 1323183079 2003323914 2448507006 2646366158 3004985871 3672760509 3969549237 6009971742 7345521018 7939098474 9014957613 11018281527 11908647711 14555013869 18029915226 22036563054 23817295422 29110027738 33054844581 35725943133 43665041607 66109689162 71451886266 87330083214 99164533743 107177829399 130995124821 198329067486 214355658798 261990249642 321533488197 392985374463 643066976394 785970748926 964600464591 1178956123389 1929200929182 2357912246778 3536868370167 7073736740334 10610605110501 21221210221002