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1014244520130 = 232529421992107
BaseRepresentation
bin11101100001001011010…
…11110011000011000010
310120221221110000000121200
432300211223303003002
5113104133044121010
62053534300002030
7133163632114152
oct16604553630302
93527843000550
101014244520130
11361158654786
12144698530316
137484844ba8a
14371381b0762
151b5b2099cc0
hexec25af30c2

1014244520130 has 96 divisors (see below), whose sum is σ = 2728644235200. Its totient is φ = 261074088576.

The previous prime is 1014244520129. The next prime is 1014244520189. The reversal of 1014244520130 is 310254424101.

1014244520130 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 4 + 4 + 520 + 130 = 666.

It is a super-2 number, since 2×10142445201302 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1014244520094 and 1014244520103.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10965537 + ... + 11057643.

It is an arithmetic number, because the mean of its divisors is an integer number (28423377450).

Almost surely, 21014244520130 is an apocalyptic number.

1014244520130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014244520130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364322117600).

1014244520130 is an abundant number, since it is smaller than the sum of its proper divisors (1714399715070).

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

1014244520130 is a wasteful number, since it uses less digits than its factorization.

1014244520130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96368 (or 96365 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1014244520130 its reverse (310254424101), we get a palindrome (1324498944231).

The spelling of 1014244520130 in words is "one trillion, fourteen billion, two hundred forty-four million, five hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 4219 8438 12657 21095 25314 37971 42190 63285 75942 92107 122351 126570 184214 189855 244702 276321 367053 379710 460535 552642 611755 734106 828963 921070 1101159 1223510 1381605 1657926 1835265 2202318 2671103 2763210 3670530 4144815 5342206 5505795 8013309 8289630 11011590 13355515 16026618 24039927 26711030 40066545 48079854 80133090 120199635 240399270 388599433 777198866 1165798299 1942997165 2331596598 3497394897 3885994330 5828991495 6994789794 11269383557 11657982990 17486974485 22538767114 33808150671 34973948970 56346917785 67616301342 101424452013 112693835570 169040753355 202848904026 338081506710 507122260065 1014244520130