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100363501540 = 225113389114161
BaseRepresentation
bin101110101111000100…
…0010111111111100100
3100121001111122010121201
41131132020113333210
53121021024022130
6114034550052244
710152046454521
oct1353610277744
9317044563551
10100363501540
11396226421a5
121754b64a084
139605c12203
144c01444148
1529260ddbca
hex175e217fe4

100363501540 has 48 divisors (see below), whose sum is σ = 213176985840. Its totient is φ = 39687495680.

The previous prime is 100363501529. The next prime is 100363501543. The reversal of 100363501540 is 45105363001.

It can be written as a sum of positive squares in 8 ways, for example, as 7348261284 + 93015240256 = 85722^2 + 304984^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100363501499 and 100363501508.

It is not an unprimeable number, because it can be changed into a prime (100363501543) 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, 822060 + ... + 936220.

It is an arithmetic number, because the mean of its divisors is an integer number (4441187205).

Almost surely, 2100363501540 is an apocalyptic number.

100363501540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100363501540 is an abundant number, since it is smaller than the sum of its proper divisors (112813484300).

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

100363501540 is a wasteful number, since it uses less digits than its factorization.

100363501540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114672 (or 114670 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 100363501540 its reverse (45105363001), we get a palindrome (145468864541).

The spelling of 100363501540 in words is "one hundred billion, three hundred sixty-three million, five hundred one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 113 226 389 452 565 778 1130 1556 1945 2260 3890 7780 43957 87914 114161 175828 219785 228322 439570 456644 570805 879140 1141610 2283220 12900193 25800386 44408629 51600772 64500965 88817258 129001930 177634516 222043145 258003860 444086290 888172580 5018175077 10036350154 20072700308 25090875385 50181750770 100363501540