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11221301010 = 235171910311243
BaseRepresentation
bin10100111001101011…
…10111011100010010
31001222000212011011010
422130311313130102
5140440123113020
65053251231350
7545034325203
oct123465673422
931860764133
1011221301010
11483914a597
122211ba8556
13109aa2c2aa
147864395aa
1545a204de0
hex29cd77712

11221301010 has 128 divisors (see below), whose sum is σ = 30310225920. Its totient is φ = 2641959936.

The previous prime is 11221300999. The next prime is 11221301053. The reversal of 11221301010 is 1010312211.

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 63 ways as a sum of consecutive naturals, for example, 992449 + ... + 1003691.

It is an arithmetic number, because the mean of its divisors is an integer number (236798640).

Almost surely, 211221301010 is an apocalyptic number.

11221301010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11221301010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15155112960).

11221301010 is an abundant number, since it is smaller than the sum of its proper divisors (19088924910).

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

11221301010 is a wasteful number, since it uses less digits than its factorization.

11221301010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11392.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11221301010 its reverse (1010312211), we get a palindrome (12231613221).

The spelling of 11221301010 in words is "eleven billion, two hundred twenty-one million, three hundred one thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 85 95 102 103 114 170 190 206 255 285 309 323 510 515 570 618 646 969 1030 1545 1615 1751 1938 1957 3090 3230 3502 3914 4845 5253 5871 8755 9690 9785 10506 11243 11742 17510 19570 22486 26265 29355 33269 33729 52530 56215 58710 66538 67458 99807 112430 166345 168645 191131 199614 213617 332690 337290 382262 427234 499035 573393 640851 955655 998070 1068085 1146786 1158029 1281702 1911310 2136170 2316058 2866965 3204255 3474087 3631489 5733930 5790145 6408510 6948174 7262978 10894467 11580290 17370435 18157445 19686493 21788934 22002551 34740870 36314890 39372986 44005102 54472335 59059479 66007653 98432465 108944670 110012755 118118958 132015306 196864930 220025510 295297395 330038265 374043367 590594790 660076530 748086734 1122130101 1870216835 2244260202 3740433670 5610650505 11221301010