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1022121340 = 2251910924677
BaseRepresentation
bin111100111011000…
…101010101111100
32122020022010212221
4330323011111330
54043130340330
6245231335124
734220613412
oct7473052574
92566263787
101022121340
11484a62989
122463814a4
131339b4036
1499a692b2
155eb00b7a
hex3cec557c

1022121340 has 48 divisors (see below), whose sum is σ = 2280247200. Its totient is φ = 383761152.

The previous prime is 1022121323. The next prime is 1022121383. The reversal of 1022121340 is 431212201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29082 + ... + 53758.

It is an arithmetic number, because the mean of its divisors is an integer number (47505150).

Almost surely, 21022121340 is an apocalyptic number.

1022121340 is a gapful number since it is divisible by the number (10) 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 1022121340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140123600).

1022121340 is an abundant number, since it is smaller than the sum of its proper divisors (1258125860).

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

1022121340 is a wasteful number, since it uses less digits than its factorization.

1022121340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24814 (or 24812 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1022121340 is about 31970.6324616827. The cubic root of 1022121340 is about 1007.3200658908.

Adding to 1022121340 its reverse (431212201), we get a palindrome (1453333541).

The spelling of 1022121340 in words is "one billion, twenty-two million, one hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 109 190 218 380 436 545 1090 2071 2180 4142 8284 10355 20710 24677 41420 49354 98708 123385 246770 468863 493540 937726 1875452 2344315 2689793 4688630 5379586 9377260 10759172 13448965 26897930 51106067 53795860 102212134 204424268 255530335 511060670 1022121340