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1053111012520 = 23572537301537
BaseRepresentation
bin11110101001100100100…
…11101100110010101000
310201200021010011101222211
433110302103230302220
5114223232404400040
62123443103454504
7136041033624100
oct17246223546250
93650233141884
101053111012520
11376692791776
121501248b7434
137840071ac78
1438d83dda200
151c5d92cc8ea
hexf5324ecca8

1053111012520 has 48 divisors (see below), whose sum is σ = 2756356889940. Its totient is φ = 361066632192.

The previous prime is 1053111012511. The next prime is 1053111012559. The reversal of 1053111012520 is 252101113501.

1053111012520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 991685355556 + 61425656964 = 995834^2 + 247842^2 .

It is a super-2 number, since 2×10531110125202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053111012491 and 1053111012500.

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, 268648809 + ... + 268652728.

Almost surely, 21053111012520 is an apocalyptic number.

1053111012520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053111012520 is an abundant number, since it is smaller than the sum of its proper divisors (1703245877420).

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

1053111012520 is a wasteful number, since it uses less digits than its factorization.

1053111012520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537301562 (or 537301551 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 22.

The spelling of 1053111012520 in words is "one trillion, fifty-three billion, one hundred eleven million, twelve thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 537301537 1074603074 2149206148 2686507685 3761110759 4298412296 5373015370 7522221518 10746030740 15044443036 18805553795 21492061480 26327775313 30088886072 37611107590 52655550626 75222215180 105311101252 131638876565 150444430360 210622202504 263277753130 526555506260 1053111012520