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203324001100040 = 235214112653187637
BaseRepresentation
bin101110001110110000001110…
…110111000010000100001000
3222122220120210020010120102202
4232032300032313002010020
5203122230023240200130
62000233431233015332
760553450201425662
oct5616601667020410
9878816706116382
10203324001100040
1159870251a7aa97
121a9796786b4548
13895b4a9210612
14382cd114a3532
151878dcd0ee145
hexb8ec0edc2108

203324001100040 has 64 divisors (see below), whose sum is σ = 457731289960560. Its totient is φ = 81284755809280.

The previous prime is 203324001100021. The next prime is 203324001100043. The reversal of 203324001100040 is 40001100423302.

It can be written as a sum of positive squares in 8 ways, for example, as 79247704885924 + 124076296214116 = 8902118^2 + 11138954^2 .

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 = 203324001099985 and 203324001100021.

It is not an unprimeable number, because it can be changed into a prime (203324001100043) 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, 1083509102 + ... + 1083696738.

Almost surely, 2203324001100040 is an apocalyptic number.

203324001100040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203324001100040 is an abundant number, since it is smaller than the sum of its proper divisors (254407288860520).

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

203324001100040 is a wasteful number, since it uses less digits than its factorization.

203324001100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202442 (or 202438 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 203324001100040 its reverse (40001100423302), we get a palindrome (243325101523342).

The spelling of 203324001100040 in words is "two hundred three trillion, three hundred twenty-four billion, one million, one hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 2141 4282 8564 10705 12653 17128 21410 25306 42820 50612 63265 85640 101224 126530 187637 253060 375274 506120 750548 938185 1501096 1876370 3752740 7505480 27090073 54180146 108360292 135450365 216720584 270900730 401730817 541801460 803461634 1083602920 1606923268 2008654085 2374170961 3213846536 4017308170 4748341922 8034616340 9496683844 11870854805 16069232680 18993367688 23741709610 47483419220 94966838440 5083100027501 10166200055002 20332400110004 25415500137505 40664800220008 50831000275010 101662000550020 203324001100040