Search a number
-
+
10213331030112 = 253715198409271
BaseRepresentation
bin1001010010011111100111…
…1101111101000001100000
31100011101101121012102201210
42110213321331331001200
52314313400220430422
633415534533230120
72102613602234310
oct224477175750140
940141347172653
1010213331030112
1132884a4118481
12118b4b3a92340
135911612bcca2
14274483909440
1512aa1390710c
hex949f9f7d060

10213331030112 has 48 divisors (see below), whose sum is σ = 30639993092352. Its totient is φ = 2918094579840.

The previous prime is 10213331030087. The next prime is 10213331030137. The reversal of 10213331030112 is 21103013331201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10213331030087) and next prime (10213331030137).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7599203964 + ... + 7599205307.

It is an arithmetic number, because the mean of its divisors is an integer number (638333189424).

Almost surely, 210213331030112 is an apocalyptic number.

10213331030112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10213331030112 is an abundant number, since it is smaller than the sum of its proper divisors (20426662062240).

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

10213331030112 is a wasteful number, since it uses less digits than its factorization.

10213331030112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15198409291 (or 15198409283 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10213331030112 its reverse (21103013331201), we get a palindrome (31316344361313).

The spelling of 10213331030112 in words is "ten trillion, two hundred thirteen billion, three hundred thirty-one million, thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 15198409271 30396818542 45595227813 60793637084 91190455626 106388864897 121587274168 182380911252 212777729794 243174548336 319166594691 364761822504 425555459588 486349096672 638333189382 729523645008 851110919176 1276666378764 1459047290016 1702221838352 2553332757528 3404443676704 5106665515056 10213331030112