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101034213320 = 2358928380397
BaseRepresentation
bin101111000011000011…
…0111011111111001000
3100122210020200211012202
41132012012323333020
53123404224311240
6114225305455332
710204502433455
oct1360606737710
9318706624182
10101034213320
11399371a7957
12176b81a1548
1396b1b685a1
144c6655682c
152964e28315
hex17861bbfc8

101034213320 has 32 divisors (see below), whose sum is σ = 229881223800. Its totient is φ = 39959597568.

The previous prime is 101034213277. The next prime is 101034213377. The reversal of 101034213320 is 23312430101.

It can be written as a sum of positive squares in 4 ways, for example, as 58392789316 + 42641424004 = 241646^2 + 206498^2 .

It is a super-2 number, since 2×1010342133202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101034213292 and 101034213301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14186639 + ... + 14193758.

Almost surely, 2101034213320 is an apocalyptic number.

101034213320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101034213320 is an abundant number, since it is smaller than the sum of its proper divisors (128847010480).

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

101034213320 is a wasteful number, since it uses less digits than its factorization.

101034213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28380497 (or 28380493 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 101034213320 its reverse (23312430101), we get a palindrome (124346643421).

The spelling of 101034213320 in words is "one hundred one billion, thirty-four million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 1780 3560 28380397 56760794 113521588 141901985 227043176 283803970 567607940 1135215880 2525855333 5051710666 10103421332 12629276665 20206842664 25258553330 50517106660 101034213320