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1023133122 = 232115167339
BaseRepresentation
bin111100111110111…
…100010111000010
32122022012112210100
4330332330113002
54043410224442
6245305143230
734232326254
oct7476742702
92568175710
101023133122
11485594070
1224678ab16
13133c7971b
1499c4dcd4
155ec5084c
hex3cfbc5c2

1023133122 has 24 divisors (see below), whose sum is σ = 2418315120. Its totient is φ = 310040280.

The previous prime is 1023133121. The next prime is 1023133123. The reversal of 1023133122 is 2213313201.

It is an interprime number because it is at equal distance from previous prime (1023133121) and next prime (1023133123).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1023133095 and 1023133104.

It is not an unprimeable number, because it can be changed into a prime (1023133121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2583472 + ... + 2583867.

It is an arithmetic number, because the mean of its divisors is an integer number (100763130).

Almost surely, 21023133122 is an apocalyptic number.

1023133122 is an abundant number, since it is smaller than the sum of its proper divisors (1395181998).

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

1023133122 is a wasteful number, since it uses less digits than its factorization.

1023133122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5167358 (or 5167355 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1023133122 is about 31986.4521633769. The cubic root of 1023133122 is about 1007.6523330959.

Adding to 1023133122 its reverse (2213313201), we get a palindrome (3236446323).

It can be divided in two parts, 10 and 23133122, that added together give a palindrome (23133132).

The spelling of 1023133122 in words is "one billion, twenty-three million, one hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 5167339 10334678 15502017 31004034 46506051 56840729 93012102 113681458 170522187 341044374 511566561 1023133122