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1120025501300 = 2252113274136161
BaseRepresentation
bin10000010011000110101…
…110001101111001110100
310222001222111120122012002
4100103012232031321310
5121322303012020200
62214311013314432
7143630163452156
oct20230656157164
93861874518162
101120025501300
113a2000218572
1216109a335a18
1381805841324
143c2d0d0aad6
151e203aa7bd5
hex104c6b8de74

1120025501300 has 72 divisors (see below), whose sum is σ = 2452926174552. Its totient is φ = 443871232000.

The previous prime is 1120025501293. The next prime is 1120025501317. The reversal of 1120025501300 is 31055200211.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 583809077476 + 536216423824 = 764074^2 + 732268^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 30955220 + ... + 30991380.

It is an arithmetic number, because the mean of its divisors is an integer number (34068419091).

Almost surely, 21120025501300 is an apocalyptic number.

1120025501300 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 1120025501300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226463087276).

1120025501300 is an abundant number, since it is smaller than the sum of its proper divisors (1332900673252).

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

1120025501300 is a wasteful number, since it uses less digits than its factorization.

1120025501300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39029 (or 39022 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The spelling of 1120025501300 in words is "one trillion, one hundred twenty billion, twenty-five million, five hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1130 2260 2741 2825 5482 5650 10964 11300 13705 27410 36161 54820 68525 72322 137050 144644 180805 274100 309733 361610 619466 723220 904025 1238932 1548665 1808050 3097330 3616100 4086193 6194660 7743325 8172386 15486650 16344772 20430965 30973300 40861930 81723860 99117301 102154825 198234602 204309650 396469204 408619300 495586505 991173010 1982346020 2477932525 4955865050 9911730100 11200255013 22400510026 44801020052 56001275065 112002550130 224005100260 280006375325 560012750650 1120025501300