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11021233024 = 271944910093
BaseRepresentation
bin10100100001110101…
…01010101110000000
31001110002101122110201
422100322222232000
5140032413424044
65021343134544
7540054635464
oct122072525600
931402348421
1011021233024
11474622054a
122176ba4454
131068450079
14767a3a4a4
154478857d4
hex290eaab80

11021233024 has 64 divisors (see below), whose sum is σ = 23165730000. Its totient is φ = 5208440832.

The previous prime is 11021233007. The next prime is 11021233037. The reversal of 11021233024 is 42033212011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 11021232992 and 11021233010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1086922 + ... + 1097014.

Almost surely, 211021233024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11021233024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11582865000).

11021233024 is an abundant number, since it is smaller than the sum of its proper divisors (12144496976).

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

11021233024 is a wasteful number, since it uses less digits than its factorization.

11021233024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10575 (or 10563 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 11021233024 its reverse (42033212011), we get a palindrome (53054445035).

The spelling of 11021233024 in words is "eleven billion, twenty-one million, two hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 449 608 898 1216 1796 2432 3592 7184 8531 10093 14368 17062 20186 28736 34124 40372 57472 68248 80744 136496 161488 191767 272992 322976 383534 545984 645952 767068 1091968 1291904 1534136 3068272 4531757 6136544 9063514 12273088 18127028 24546176 36254056 72508112 86103383 145016224 172206766 290032448 344413532 580064896 688827064 1377654128 2755308256 5510616512 11021233024