Search a number
-
+
100321130220300 = 2232521122974411601
BaseRepresentation
bin10110110011110111010101…
…010101001000101100001100
3111011012121101001110222001200
4112303313111111020230030
5101122130133314022200
6553210520241505500
730062651062031463
oct2663672525105414
9434177331428050
10100321130220300
1129a68a52708760
12b302aa7642290
1343c931b851492
141aab7d63a39da
15b8e8b204e800
hex5b3dd5548b0c

100321130220300 has 216 divisors, whose sum is σ = 343186883977392. Its totient is φ = 24309680640000.

The previous prime is 100321130220277. The next prime is 100321130220313. The reversal of 100321130220300 is 3022031123001.

100321130220300 is a `hidden beast` number, since 1 + 0 + 0 + 32 + 11 + 302 + 20 + 300 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20534500 + ... + 24946100.

It is an arithmetic number, because the mean of its divisors is an integer number (1588828166562).

Almost surely, 2100321130220300 is an apocalyptic number.

100321130220300 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 100321130220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171593441988696).

100321130220300 is an abundant number, since it is smaller than the sum of its proper divisors (242865753757092).

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

100321130220300 is a wasteful number, since it uses less digits than its factorization.

100321130220300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4413929 (or 4413919 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100321130220300 its reverse (3022031123001), we get a palindrome (103343161343301).

The spelling of 100321130220300 in words is "one hundred trillion, three hundred twenty-one billion, one hundred thirty million, two hundred twenty thousand, three hundred".