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1120813929225 = 325216324332
BaseRepresentation
bin10000010011110101101…
…101110101001100001001
310222011000110010220222100
4100103311231311030021
5121330411331213400
62214521140144013
7143655546130644
oct20236555651411
93864013126870
101120813929225
113a23752750a1
1216127a398009
13818ccca1c23
143c367902a5b
151e24cde6100
hex104f5b75309

1120813929225 has 81 divisors (see below), whose sum is σ = 2024569460277. Its totient is φ = 592728088320.

The previous prime is 1120813929211. The next prime is 1120813929229. The reversal of 1120813929225 is 5229293180211.

The square root of 1120813929225 is 1058685.

It is a perfect power (a square), and thus also a powerful number.

1120813929225 is a `hidden beast` number, since 1 + 1 + 208 + 139 + 292 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 342614720889 + 778199208336 = 585333^2 + 882156^2 .

It is not a de Polignac number, because 1120813929225 - 233 = 1112223994633 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1120813929229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2588484609 + ... + 2588485041.

Almost surely, 21120813929225 is an apocalyptic number.

1120813929225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1120813929225 is the 1058685-th square number.

1120813929225 is the 529343-rd centered octagonal number.

It is an amenable number.

1120813929225 is a deficient number, since it is larger than the sum of its proper divisors (903755531052).

1120813929225 is an frugal number, since it uses more digits than its factorization.

1120813929225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1120813929225 in words is "one trillion, one hundred twenty billion, eight hundred thirteen million, nine hundred twenty-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 163 225 433 489 815 1299 1467 2165 2445 3897 4075 6495 7335 10825 12225 19485 26569 32475 36675 70579 79707 97425 132845 187489 211737 239121 352895 398535 562467 635211 664225 937445 1058685 1195605 1687401 1764475 1992675 2812335 3176055 4687225 5293425 5978025 8437005 11504377 14061675 15880275 30560707 34513131 42185025 57521885 91682121 103539393 152803535 172565655 275046363 287609425 458410605 517696965 764017675 862828275 1375231815 2292053025 2588484825 4981395241 6876159075 14944185723 24906976205 44832557169 74720928615 124534881025 224162785845 373604643075 1120813929225