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1020131112300 = 223523400437041
BaseRepresentation
bin11101101100001001000…
…11010111010101101100
310121112010200122212222220
432312010203113111230
5113203212031043200
62100350342035340
7133462541245356
oct16660443272554
93545120585886
101020131112300
113636a9466593
1214585ba18b50
1375275b8b301
1437535cdc0d6
151b808c804a0
hexed848d756c

1020131112300 has 36 divisors (see below), whose sum is σ = 2951579352456. Its totient is φ = 272034963200.

The previous prime is 1020131112289. The next prime is 1020131112353. The reversal of 1020131112300 is 32111310201.

It is a happy number.

It is a super-2 number, since 2×10201311123002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1020131112300.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1700218221 + ... + 1700218820.

It is an arithmetic number, because the mean of its divisors is an integer number (81988315346).

Almost surely, 21020131112300 is an apocalyptic number.

1020131112300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020131112300 is an abundant number, since it is smaller than the sum of its proper divisors (1931448240156).

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

1020131112300 is a wasteful number, since it uses less digits than its factorization.

1020131112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400437058 (or 3400437051 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1020131112300 its reverse (32111310201), we get a palindrome (1052242422501).

The spelling of 1020131112300 in words is "one trillion, twenty billion, one hundred thirty-one million, one hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 3400437041 6800874082 10201311123 13601748164 17002185205 20402622246 34004370410 40805244492 51006555615 68008740820 85010926025 102013111230 170021852050 204026222460 255032778075 340043704100 510065556150 1020131112300