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1120141212255 = 345131911197493
BaseRepresentation
bin10000010011001101100…
…111100111101001011111
310222002021120022100210000
4100103031213213221133
5121323022122243010
62214330305345343
7143633100130662
oct20231547475137
93862246270700
101120141212255
113a205a56a95a
12161111038253
13818237c5c50
143c30242b6d9
151e20dd127c0
hex104cd9e7a5f

1120141212255 has 80 divisors (see below), whose sum is σ = 2276226580320. Its totient is φ = 522430186752.

The previous prime is 1120141212167. The next prime is 1120141212257. The reversal of 1120141212255 is 5522121410211.

1120141212255 is a `hidden beast` number, since 1 + 1 + 20 + 1 + 412 + 1 + 225 + 5 = 666.

It is not a de Polignac number, because 1120141212255 - 217 = 1120141081183 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120141212257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5498712 + ... + 5698781.

It is an arithmetic number, because the mean of its divisors is an integer number (28452832254).

Almost surely, 21120141212255 is an apocalyptic number.

1120141212255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1120141212255 is an abundant number, since it is smaller than the sum of its proper divisors (1156085368065).

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

1120141212255 is a wasteful number, since it uses less digits than its factorization.

1120141212255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11197542 (or 11197533 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 1120141212255 its reverse (5522121410211), we get a palindrome (6642262622466).

The spelling of 1120141212255 in words is "one trillion, one hundred twenty billion, one hundred forty-one million, two hundred twelve thousand, two hundred fifty-five".

Divisors: 1 3 5 9 13 15 19 27 39 45 57 65 81 95 117 135 171 195 247 285 351 405 513 585 741 855 1053 1235 1539 1755 2223 2565 3705 5265 6669 7695 11115 20007 33345 100035 11197493 33592479 55987465 100777437 145567409 167962395 212752367 302332311 436702227 503887185 638257101 727837045 906996933 1063761835 1310106681 1511661555 1914771303 2183511135 2765780771 3191285505 3930320043 4534984665 5744313909 6550533405 8297342313 9573856515 11790960129 13828903855 17232941727 19651600215 24892026939 28721569545 41486711565 58954800645 74676080817 86164708635 124460134695 224028242451 373380404085 1120141212255