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11021333130 = 23252937311321
BaseRepresentation
bin10100100001110110…
…00011001010001010
31001110002120201210100
422100323003022022
5140032430130010
65021345230230
7540055533363
oct122073031212
931402521710
1011021333130
114746289785
122177032376
1310684867c2
14767a64b6a
154478a52c0
hex290ec328a

11021333130 has 96 divisors (see below), whose sum is σ = 29725684560. Its totient is φ = 2829818880.

The previous prime is 11021333117. The next prime is 11021333179. The reversal of 11021333130 is 3133312011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2494103481 + 8527229649 = 49941^2 + 92343^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 967870 + ... + 979190.

Almost surely, 211021333130 is an apocalyptic number.

11021333130 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 11021333130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14862842280).

11021333130 is an abundant number, since it is smaller than the sum of its proper divisors (18704351430).

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

11021333130 is a wasteful number, since it uses less digits than its factorization.

11021333130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11736 (or 11733 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11021333130 its reverse (3133312011), we get a palindrome (14154645141).

The spelling of 11021333130 in words is "eleven billion, twenty-one million, three hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 373 435 522 746 870 1119 1305 1865 2238 2610 3357 3730 5595 6714 10817 11190 11321 16785 21634 22642 32451 33570 33963 54085 56605 64902 67926 97353 101889 108170 113210 162255 169815 194706 203778 324510 328309 339630 486765 509445 656618 973530 984927 1018890 1641545 1969854 2954781 3283090 4222733 4924635 5909562 8445466 9849270 12668199 14773905 21113665 25336398 29547810 38004597 42227330 63340995 76009194 122459257 126681990 190022985 244918514 367377771 380045970 612296285 734755542 1102133313 1224592570 1836888855 2204266626 3673777710 5510666565 11021333130