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1021121296 = 241330715991
BaseRepresentation
bin111100110111010…
…001001100010000
32122011102100002021
4330313101030100
54042401340141
6245154101224
734206250006
oct7467211420
92564370067
101021121296
1148443a5a8
12245b7a814
13133723ab0
1499888a76
155e9a46d1
hex3cdd1310

1021121296 has 40 divisors (see below), whose sum is σ = 2137682624. Its totient is φ = 469722240.

The previous prime is 1021121293. The next prime is 1021121327. The reversal of 1021121296 is 6921211201.

It is a happy number.

It is a super-3 number, since 3×10211212963 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1021121296.

It is not an unprimeable number, because it can be changed into a prime (1021121293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55861 + ... + 71851.

Almost surely, 21021121296 is an apocalyptic number.

1021121296 is a gapful number since it is divisible by the number (16) 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 1021121296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068841312).

1021121296 is an abundant number, since it is smaller than the sum of its proper divisors (1116561328).

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

1021121296 is a wasteful number, since it uses less digits than its factorization.

1021121296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16319 (or 16313 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 1021121296 is about 31954.9885933323. The cubic root of 1021121296 is about 1006.9914378820.

Adding to 1021121296 its reverse (6921211201), we get a palindrome (7942332497).

The spelling of 1021121296 in words is "one billion, twenty-one million, one hundred twenty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 307 614 1228 2456 3991 4912 7982 15964 15991 31928 31982 63856 63964 127928 207883 255856 415766 831532 1663064 3326128 4909237 9818474 19636948 39273896 63820081 78547792 127640162 255280324 510560648 1021121296