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1020244351300 = 225229527966643
BaseRepresentation
bin11101101100010110100…
…11010101100101000100
310121112102120202000200221
432312023103111211010
5113203430023220200
62100405505114124
7133465414620256
oct16661323254504
93545376660627
101020244351300
1136375737a739
12145891928944
1375293488a35
1437546d77cd6
151b813b9c91a
hexed8b4d5944

1020244351300 has 72 divisors (see below), whose sum is σ = 2290740883200. Its totient is φ = 393944853120.

The previous prime is 1020244351297. The next prime is 1020244351327. The reversal of 1020244351300 is 31534420201.

1020244351300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15275779 + ... + 15342421.

It is an arithmetic number, because the mean of its divisors is an integer number (31815845600).

Almost surely, 21020244351300 is an apocalyptic number.

1020244351300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020244351300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145370441600).

1020244351300 is an abundant number, since it is smaller than the sum of its proper divisors (1270496531900).

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

1020244351300 is a wasteful number, since it uses less digits than its factorization.

1020244351300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71965 (or 71958 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 1020244351300 its reverse (31534420201), we get a palindrome (1051778771501).

The spelling of 1020244351300 in words is "one trillion, twenty billion, two hundred forty-four million, three hundred fifty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 5279 10558 21116 26395 52790 66643 105580 131975 133286 153091 263950 266572 306182 333215 527900 612364 666430 765455 1332860 1530910 1666075 1932647 3061820 3332150 3827275 3865294 6664300 7654550 7730588 9663235 15309100 19326470 38652940 48316175 96632350 193264700 351808397 703616794 1407233588 1759041985 3518083970 7036167940 8795209925 10202443513 17590419850 20404887026 35180839700 40809774052 51012217565 102024435130 204048870260 255061087825 510122175650 1020244351300