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10204451311331 = 176131780938371
BaseRepresentation
bin1001010001111110100010…
…1100100000111011100011
31100010112110202102222112102
42110133220230200323203
52314142204013430311
633411505450121015
72102150546665334
oct224375054407343
940115422388472
1010204451311331
113284757810312
12118983612016b
13590377734914
14273c8048428b
1512a69408943b
hex947e8b20ee3

10204451311331 has 32 divisors (see below), whose sum is σ = 11030387492160. Its totient is φ = 9405057945600.

The previous prime is 10204451311303. The next prime is 10204451311337. The reversal of 10204451311331 is 13311315440201.

10204451311331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10204451311331 is a prime.

It is a super-2 number, since 2×102044513113312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10204451311294 and 10204451311303.

It is not an unprimeable number, because it can be changed into a prime (10204451311337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265922576 + ... + 265960946.

It is an arithmetic number, because the mean of its divisors is an integer number (344699609130).

Almost surely, 210204451311331 is an apocalyptic number.

10204451311331 is a deficient number, since it is larger than the sum of its proper divisors (825936180829).

10204451311331 is a wasteful number, since it uses less digits than its factorization.

10204451311331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39575.

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 10204451311331 its reverse (13311315440201), we get a palindrome (23515766751532).

The spelling of 10204451311331 in words is "ten trillion, two hundred four billion, four hundred fifty-one million, three hundred eleven thousand, three hundred thirty-one".

Divisors: 1 17 61 317 809 1037 5389 13753 19337 38371 49349 256453 328729 652307 838933 2340631 4359701 12163607 15643633 31042139 39790727 206781319 265941761 527716363 741980027 1893570479 9840358063 12613660459 32190698143 167286087071 600261841843 10204451311331