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221413432010 = 251741109291437
BaseRepresentation
bin1100111000110101000…
…1001101101011001010
3210011111200102201221212
43032031101031223022
512111423314311020
6245414350133122
721665555055641
oct3161521155312
9704450381855
10221413432010
11859a0123651
1236ab2ab11a2
1317b577992c4
14aa05db4358
155b5d339cc5
hex338d44daca

221413432010 has 64 divisors (see below), whose sum is σ = 436247713440. Its totient is φ = 80576225280.

The previous prime is 221413432003. The next prime is 221413432063. The reversal of 221413432010 is 10234314122.

221413432010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 18087291121 + 203326140889 = 134489^2 + 450917^2 .

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 614012 + ... + 905448.

Almost surely, 2221413432010 is an apocalyptic number.

221413432010 is a deficient number, since it is larger than the sum of its proper divisors (214834281430).

221413432010 is a wasteful number, since it uses less digits than its factorization.

221413432010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291611.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 221413432010 its reverse (10234314122), we get a palindrome (231647746132).

The spelling of 221413432010 in words is "two hundred twenty-one billion, four hundred thirteen million, four hundred thirty-two thousand, ten".

Divisors: 1 2 5 10 17 34 41 82 85 109 170 205 218 410 545 697 1090 1394 1853 3485 3706 4469 6970 8938 9265 18530 22345 44690 75973 151946 291437 379865 582874 759730 1457185 2914370 4954429 9908858 11948917 23897834 24772145 31766633 49544290 59744585 63533266 119489170 158833165 203131589 317666330 406263178 540032761 1015657945 1080065522 1302431953 2031315890 2604863906 2700163805 5400327610 6512159765 13024319530 22141343201 44282686402 110706716005 221413432010