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221400140403 = 313233189137653
BaseRepresentation
bin1100111000110001111…
…0100000101001110011
3210011110202102110022010
43032030132200221303
512111411413443103
6245413153214003
721665334066621
oct3161436405163
9704422373263
10221400140403
1185993675452
1236aaa561303
1317b54ac4450
14aa04314511
155b5c0b1903
hex338c7a0a73

221400140403 has 128 divisors (see below), whose sum is σ = 349340221440. Its totient is φ = 123601674240.

The previous prime is 221400140387. The next prime is 221400140419. The reversal of 221400140403 is 304041004122.

221400140403 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221400140387) and next prime (221400140419).

It is not a de Polignac number, because 221400140403 - 24 = 221400140387 is a prime.

It is a super-2 number, since 2×2214001404032 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221400140403.

It is not an unprimeable number, because it can be changed into a prime (221400140443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 339050425 + ... + 339051077.

It is an arithmetic number, because the mean of its divisors is an integer number (2729220480).

Almost surely, 2221400140403 is an apocalyptic number.

221400140403 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

221400140403 is a deficient number, since it is larger than the sum of its proper divisors (127940081037).

221400140403 is a wasteful number, since it uses less digits than its factorization.

221400140403 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 221400140403 its reverse (304041004122), we get a palindrome (525441144525).

The spelling of 221400140403 in words is "two hundred twenty-one billion, four hundred million, one hundred forty thousand, four hundred three".

Divisors: 1 3 13 23 31 39 69 89 93 137 267 299 403 411 653 713 897 1157 1209 1781 1959 2047 2139 2759 3151 3471 4247 5343 6141 8277 8489 9269 9453 12193 12741 15019 20243 25467 26611 27807 35867 36579 40963 45057 55211 58117 60729 63457 79833 89461 97681 107601 122889 158509 165633 174351 190371 195247 263159 268383 280439 293043 377983 465589 475527 585741 755521 789477 824941 841317 1133949 1162993 1269853 1336691 1396767 1801627 2057603 2266563 2474823 2773291 3488979 3645707 3809559 4010073 4913779 5404881 6052657 6172809 7962029 8319873 8693609 10937121 14741337 17376983 18157971 23421151 23886087 26080827 26748839 36052783 41437421 52130949 63785693 70263453 80246517 103506377 108158349 113016917 124312263 183126667 191357079 246822899 310519131 339050751 538686473 549380001 740468697 829214009 1616059419 2380646671 2487642027 3208697687 5676926677 7141940013 9626093061 17030780031 73800046801 221400140403