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10213331205 = 35711151157373
BaseRepresentation
bin10011000001100001…
…10001000100000101
3222100210011222112010
421200300301010011
5131404103044310
64405243044433
7511044611550
oct114060610405
928323158463
1010213331205
1143711829a0
121b90510719
13c69c6165c
146cc615697
153eb99c320
hex260c31105

10213331205 has 128 divisors (see below), whose sum is σ = 20694491136. Its totient is φ = 4178304000.

The previous prime is 10213331201. The next prime is 10213331221. The reversal of 10213331205 is 50213331201.

It is not a de Polignac number, because 10213331205 - 22 = 10213331201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213331201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27381399 + ... + 27381771.

It is an arithmetic number, because the mean of its divisors is an integer number (161675712).

Almost surely, 210213331205 is an apocalyptic number.

10213331205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10213331205 is an abundant number, since it is smaller than the sum of its proper divisors (10481159931).

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

10213331205 is a wasteful number, since it uses less digits than its factorization.

10213331205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707.

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 10213331205 its reverse (50213331201), we get a palindrome (60426662406).

The spelling of 10213331205 in words is "ten billion, two hundred thirteen million, three hundred thirty-one thousand, two hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 151 157 165 231 373 385 453 471 755 785 1057 1099 1119 1155 1661 1727 1865 2265 2355 2611 3171 3297 4103 4983 5181 5285 5495 5595 7833 8305 8635 11627 12089 12309 13055 15855 16485 20515 23707 24915 25905 28721 34881 36267 39165 56323 58135 58561 60445 61545 71121 86163 118535 143605 165949 168969 174405 175683 181335 260777 281615 292805 355605 394261 409927 430815 497847 619553 644171 782331 829745 844845 878415 1182783 1229781 1303885 1825439 1858659 1932513 1971305 2049635 2489235 3097765 3220855 3911655 4336871 4509197 5476317 5913915 6148905 8842711 9127195 9293295 9662565 13010613 13527591 21684355 22545985 26528133 27381585 44213555 61898977 65053065 67637955 97269821 132640665 185696931 291809463 309494885 486349105 680888747 928484655 1459047315 2042666241 3404443735 10213331205