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101023040 = 265315697
BaseRepresentation
bin1100000010101…
…11110101000000
321001002111120002
412001113311000
5201330214130
614005135132
72334452546
oct601276500
9231074502
10101023040
1152030118
12299ba4a8
1317c11361
14d5b9d96
158d07b45
hex6057d40

101023040 has 28 divisors (see below), whose sum is σ = 240561876. Its totient is φ = 40409088.

The previous prime is 101023007. The next prime is 101023051. The reversal of 101023040 is 40320101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 68029504 + 32993536 = 8248^2 + 5744^2 .

It is a super-2 number, since 2×1010230402 = 20411309221683200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 157529 + ... + 158168.

Almost surely, 2101023040 is an apocalyptic number.

101023040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101023040 is an abundant number, since it is smaller than the sum of its proper divisors (139538836).

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

101023040 is an equidigital number, since it uses as much as digits as its factorization.

101023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315714 (or 315704 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 101023040 is about 10051.0218385993. The cubic root of 101023040 is about 465.7363598039.

Adding to 101023040 its reverse (40320101), we get a palindrome (141343141).

The spelling of 101023040 in words is "one hundred one million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 315697 631394 1262788 1578485 2525576 3156970 5051152 6313940 10102304 12627880 20204608 25255760 50511520 101023040