Search a number
-
+
1120213321300 = 2252193370915649
BaseRepresentation
bin10000010011010001111…
…010101100011001010100
310222002110120222212210101
4100103101322230121110
5121323144102240200
62214341403103444
7143634634060303
oct20232172543124
93862416885711
101120213321300
113a2097241507
12161131211b84
1381835722718
143c30bc3c43a
151e21530826a
hex104d1eac654

1120213321300 has 72 divisors (see below), whose sum is σ = 2444273027000. Its totient is φ = 445614981120.

The previous prime is 1120213321223. The next prime is 1120213321313. The reversal of 1120213321300 is 31233120211.

It can be written as a sum of positive squares in 12 ways, for example, as 766766425104 + 353446896196 = 875652^2 + 594514^2 .

It is a congruent number.

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, 71575876 + ... + 71591524.

Almost surely, 21120213321300 is an apocalyptic number.

1120213321300 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 1120213321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222136513500).

1120213321300 is an abundant number, since it is smaller than the sum of its proper divisors (1324059705700).

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

1120213321300 is a wasteful number, since it uses less digits than its factorization.

1120213321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19565 (or 19558 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1120213321300 its reverse (31233120211), we get a palindrome (1151446441511).

The spelling of 1120213321300 in words is "one trillion, one hundred twenty billion, two hundred thirteen million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 193 386 772 965 1930 3709 3860 4825 7418 9650 14836 15649 18545 19300 31298 37090 62596 74180 78245 92725 156490 185450 312980 370900 391225 715837 782450 1431674 1564900 2863348 3020257 3579185 6040514 7158370 12081028 14316740 15101285 17895925 30202570 35791850 58042141 60405140 71583700 75506425 116084282 151012850 232168564 290210705 302025700 580421410 1160842820 1451053525 2902107050 5804214100 11202133213 22404266426 44808532852 56010666065 112021332130 224042664260 280053330325 560106660650 1120213321300