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40310000100 = 223252237512593
BaseRepresentation
bin100101100010101010…
…011100100111100100
310212001021101011200200
4211202222130213210
51130023330000400
630303531110500
72624630230116
oct454252344744
9125037334620
1040310000100
1116105a42777
12798b8a2430
133a55371c86
141d458253b6
1510add1db00
hex962a9c9e4

40310000100 has 216 divisors, whose sum is σ = 132069380352. Its totient is φ = 10264320000.

The previous prime is 40310000089. The next prime is 40310000147. The reversal of 40310000100 is 100001304.

It is a super-2 number, since 2×403100001002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15544404 + ... + 15546996.

Almost surely, 240310000100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40310000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66034690176).

40310000100 is an abundant number, since it is smaller than the sum of its proper divisors (91759380252).

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

40310000100 is a wasteful number, since it uses less digits than its factorization.

40310000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 40310000100 its reverse (100001304), we get a palindrome (40410001404).

The spelling of 40310000100 in words is "forty billion, three hundred ten million, one hundred", and thus it is an aban number.