Search a number
-
+
1030100311300 = 225231477070009
BaseRepresentation
bin11101111110101101100…
…00110101110100000100
310122110212110110200002111
432333112300311310010
5113334121134430200
62105115504350404
7134264563114444
oct16772660656404
93573773420074
101030100311300
11367954853325
12147782615404
13761a4383028
1437bddd24124
151bbde0a70ba
hexefd6c35d04

1030100311300 has 72 divisors (see below), whose sum is σ = 2356519173120. Its totient is φ = 390264441600.

The previous prime is 1030100311297. The next prime is 1030100311301. The reversal of 1030100311300 is 31130010301.

It is a happy number.

It is a super-2 number, since 2×10301003113002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1030100311301) 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, 3389305 + ... + 3680704.

It is an arithmetic number, because the mean of its divisors is an integer number (32729432960).

Almost surely, 21030100311300 is an apocalyptic number.

1030100311300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030100311300 is an abundant number, since it is smaller than the sum of its proper divisors (1326418861820).

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

1030100311300 is a wasteful number, since it uses less digits than its factorization.

1030100311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7070101 (or 7070094 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 1030100311300 its reverse (31130010301), we get a palindrome (1061230321601).

The spelling of 1030100311300 in words is "one trillion, thirty billion, one hundred million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 47 50 62 94 100 124 155 188 235 310 470 620 775 940 1175 1457 1550 2350 2914 3100 4700 5828 7285 14570 29140 36425 72850 145700 7070009 14140018 28280036 35350045 70700090 141400180 176750225 219170279 332290423 353500450 438340558 664580846 707000900 876681116 1095851395 1329161692 1661452115 2191702790 3322904230 4383405580 5479256975 6645808460 8307260575 10301003113 10958513950 16614521150 20602006226 21917027900 33229042300 41204012452 51505015565 103010031130 206020062260 257525077825 515050155650 1030100311300