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10221110132012 = 22136127724234801
BaseRepresentation
bin1001010010111100100110…
…1000110111110100101100
31100012010110201221202101222
42110233021220313310230
52314430313143211022
633423302502322512
72103310431430553
oct224571150676454
940163421852358
1010221110132012
11329082622990a
121190b05129438
13591b00b3c970
142749c0b10d9a
1512ad1b81b242
hex94bc9a37d2c

10221110132012 has 96 divisors (see below), whose sum is σ = 19661530998144. Its totient is φ = 4620478464000.

The previous prime is 10221110131957. The next prime is 10221110132029. The reversal of 10221110132012 is 21023101112201.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2128952012 + ... + 2128956812.

It is an arithmetic number, because the mean of its divisors is an integer number (204807614564).

Almost surely, 210221110132012 is an apocalyptic number.

It is an amenable number.

10221110132012 is a deficient number, since it is larger than the sum of its proper divisors (9440420866132).

10221110132012 is a wasteful number, since it uses less digits than its factorization.

10221110132012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7579 (or 7577 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 10221110132012 its reverse (21023101112201), we get a palindrome (31244211244213).

The spelling of 10221110132012 in words is "ten trillion, two hundred twenty-one billion, one hundred ten million, one hundred thirty-two thousand, twelve".

Divisors: 1 2 4 13 26 52 61 122 244 277 554 793 1108 1586 2423 3172 3601 4801 4846 7202 9602 9692 14404 16897 19204 31499 33794 62413 62998 67588 124826 125996 147803 219661 249652 292861 295606 439322 585722 591212 671171 878644 1171444 1329877 1342342 1921439 2659754 2684684 3807193 3842878 5319508 7614386 7685756 8725223 11632823 15228772 17288401 17450446 23265646 34576802 34900892 40941431 46531292 69153604 81122497 81882862 151226699 162244994 163765724 302453398 324489988 532238603 604906796 709602203 1054592461 1064477206 1419204406 2109184922 2128954412 2838408812 3222291971 4218369844 6444583942 9224828639 12889167884 18449657278 36899314556 41889795623 83779591246 167559182492 196559810231 393119620462 786239240924 2555277533003 5110555066006 10221110132012