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100201130320 = 2451577977797
BaseRepresentation
bin101110101010001110…
…0111110100101010000
3100120122012002211011211
41131110130332211100
53120202442132240
6114010505545504
710145035361164
oct1352434764520
9316565084154
10100201130320
1139549a20305
12175051a5294
1395ab3a1375
144bc7a58ca4
152916c18bea
hex175473e950

100201130320 has 40 divisors (see below), whose sum is σ = 234451527624. Its totient is φ = 39825157632.

The previous prime is 100201130311. The next prime is 100201130327. The reversal of 100201130320 is 23031102001.

It can be written as a sum of positive squares in 4 ways, for example, as 6091024 + 100195039296 = 2468^2 + 316536^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 100201130320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201130327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3976339 + ... + 4001458.

Almost surely, 2100201130320 is an apocalyptic number.

100201130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201130320 is an abundant number, since it is smaller than the sum of its proper divisors (134250397304).

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

100201130320 is a wasteful number, since it uses less digits than its factorization.

100201130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7977967 (or 7977961 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100201130320 its reverse (23031102001), we get a palindrome (123232232321).

The spelling of 100201130320 in words is "one hundred billion, two hundred one million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 314 628 785 1256 1570 2512 3140 6280 12560 7977797 15955594 31911188 39888985 63822376 79777970 127644752 159555940 319111880 638223760 1252514129 2505028258 5010056516 6262570645 10020113032 12525141290 20040226064 25050282580 50100565160 100201130320