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11021010012 = 22342931157241
BaseRepresentation
bin10100100001110011…
…10100010001011100
31001110001222022120000
422100321310101130
5140032334310022
65021334254300
7540053016345
oct122071642134
931401868500
1011021010012
114746088a41
122176ab7390
1310683a26cc
147679bd0cc
1544783e6ac
hex290e7445c

11021010012 has 240 divisors, whose sum is σ = 31090456320. Its totient is φ = 3396556800.

The previous prime is 11021009969. The next prime is 11021010109. The reversal of 11021010012 is 21001012011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11021009976 and 11021010003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45730212 + ... + 45730452.

It is an arithmetic number, because the mean of its divisors is an integer number (129543568).

Almost surely, 211021010012 is an apocalyptic number.

11021010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11021010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15545228160).

11021010012 is an abundant number, since it is smaller than the sum of its proper divisors (20069446308).

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

11021010012 is a wasteful number, since it uses less digits than its factorization.

11021010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11021010012 its reverse (21001012011), we get a palindrome (32022022023).

The spelling of 11021010012 in words is "eleven billion, twenty-one million, ten thousand, twelve".