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10201303122012 = 2235174713135379
BaseRepresentation
bin1001010001110010110100…
…0011001000000001011100
31100010020100100120101200000
42110130231003020001130
52314114232044401022
633410225225334300
72102006541553662
oct224345503100134
940106310511600
1010201303122012
113283391735062
1211890b7937390
1358cc954366c2
14273a62304c32
1512a55c9c26ac
hex9472d0c805c

10201303122012 has 144 divisors (see below), whose sum is σ = 28917171279360. Its totient is φ = 3132314779392.

The previous prime is 10201303121969. The next prime is 10201303122013. The reversal of 10201303122012 is 21022130310201.

10201303122012 is a `hidden beast` number, since 1 + 0 + 20 + 130 + 312 + 201 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201303122013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5791062 + ... + 7344317.

It is an arithmetic number, because the mean of its divisors is an integer number (200813689440).

Almost surely, 210201303122012 is an apocalyptic number.

10201303122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10201303122012 is an abundant number, since it is smaller than the sum of its proper divisors (18715868157348).

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

10201303122012 is a wasteful number, since it uses less digits than its factorization.

10201303122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13135462 (or 13135448 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10201303122012 its reverse (21022130310201), we get a palindrome (31223433432213).

The spelling of 10201303122012 in words is "ten trillion, two hundred one billion, three hundred three million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 47 51 54 68 81 94 102 108 141 153 162 188 204 243 282 306 324 423 459 486 564 612 799 846 918 972 1269 1377 1598 1692 1836 2397 2538 2754 3196 3807 4131 4794 5076 5508 7191 7614 8262 9588 11421 14382 15228 16524 21573 22842 28764 43146 45684 64719 86292 129438 194157 258876 388314 776628 13135379 26270758 39406137 52541516 78812274 118218411 157624548 223301443 236436822 354655233 446602886 472873644 617362813 669904329 709310466 893205772 1063965699 1234725626 1339808658 1418620932 1852088439 2009712987 2127931398 2469451252 2679617316 3191897097 3704176878 4019425974 4255862796 5556265317 6029138961 6383794194 7408353756 8038851948 10495167821 11112530634 12058277922 12767588388 16668795951 18087416883 20990335642 22225061268 24116555844 31485503463 33337591902 36174833766 41980671284 50006387853 54262250649 62971006926 66675183804 72349667532 94456510389 100012775706 108524501298 125942013852 150019163559 188913020778 200025551412 217049002596 283369531167 300038327118 377826041556 566739062334 600076654236 850108593501 1133478124668 1700217187002 2550325780503 3400434374004 5100651561006 10201303122012