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1022101093 = 13318330557
BaseRepresentation
bin111100111011000…
…000011001100101
32122020021010010001
4330323000121211
54043124213333
6245231101301
734220500366
oct7473003145
92566233101
101022101093
11484a49752
12246371831
131339a7a60
1499a61b6d
155eae9b7d
hex3cec0665

1022101093 has 16 divisors (see below), whose sum is σ = 1149958656. Its totient is φ = 902013120.

The previous prime is 1022101051. The next prime is 1022101097. The reversal of 1022101093 is 3901012201.

1022101093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1022101093 - 29 = 1022100581 is a prime.

It is a super-3 number, since 3×10221010933 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1022101093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022101097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18171 + ... + 48727.

It is an arithmetic number, because the mean of its divisors is an integer number (71872416).

Almost surely, 21022101093 is an apocalyptic number.

1022101093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1022101093 is a deficient number, since it is larger than the sum of its proper divisors (127857563).

1022101093 is a wasteful number, since it uses less digits than its factorization.

1022101093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30684.

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 1022101093 is about 31970.3158101386. The cubic root of 1022101093 is about 1007.3134145787.

Adding to 1022101093 its reverse (3901012201), we get a palindrome (4923113294).

The spelling of 1022101093 in words is "one billion, twenty-two million, one hundred one thousand, ninety-three".

Divisors: 1 13 31 83 403 1079 2573 30557 33449 397241 947267 2536231 12314471 32971003 78623161 1022101093