Search a number
-
+
10113301132020 = 22325182519307831
BaseRepresentation
bin1001001100101010111110…
…1110001011001011110100
31022210211012100022010000100
42103022233232023023310
52311144020042211040
633301553021314100
72062443013153332
oct223125756131364
938724170263010
1010113301132020
11324a032921509
121174038105930
135848ac542a88
1426d6b4904b52
1512810bc63b30
hex932afb8b2f4

10113301132020 has 72 divisors (see below), whose sum is σ = 30677281165440. Its totient is φ = 2696856765120.

The previous prime is 10113301132019. The next prime is 10113301132027. The reversal of 10113301132020 is 2023110331101.

10113301132020 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 330 + 11 + 320 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10113301131984 and 10113301132002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113301132027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32699505 + ... + 33007335.

It is an arithmetic number, because the mean of its divisors is an integer number (426073349520).

Almost surely, 210113301132020 is an apocalyptic number.

10113301132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10113301132020 is an abundant number, since it is smaller than the sum of its proper divisors (20563980033420).

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

10113301132020 is a wasteful number, since it uses less digits than its factorization.

10113301132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490365 (or 490360 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10113301132020 its reverse (2023110331101), we get a palindrome (12136411463121).

The spelling of 10113301132020 in words is "ten trillion, one hundred thirteen billion, three hundred one million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 182519 307831 365038 547557 615662 730076 912595 923493 1095114 1231324 1539155 1642671 1825190 1846986 2190228 2737785 2770479 3078310 3285342 3650380 3693972 4617465 5475570 5540958 6156620 6570684 8213355 9234930 10951140 11081916 13852395 16426710 18469860 27704790 32853420 55409580 56185006289 112370012578 168555018867 224740025156 280925031445 337110037734 505665056601 561850062890 674220075468 842775094335 1011330113202 1123700125780 1685550188670 2022660226404 2528325283005 3371100377340 5056650566010 10113301132020