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112545531 = 3471931337
BaseRepresentation
bin1101011010101…
…00111011111011
321211202220110000
412231110323323
5212302424111
615100124043
72534423040
oct655247373
9254686400
10112545531
115859013a
1231836623
131a416bb7
1410d391c7
159d31c56
hex6b54efb

112545531 has 80 divisors (see below), whose sum is σ = 209397760. Its totient is φ = 58786560.

The previous prime is 112545529. The next prime is 112545539. The reversal of 112545531 is 135545211.

112545531 is a `hidden beast` number, since 1 + 125 + 4 + 5 + 531 = 666.

It is not a de Polignac number, because 112545531 - 21 = 112545529 is a prime.

It is a super-2 number, since 2×1125455312 = 25332993096143922, which contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112545495 and 112545504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112545539) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 333795 + ... + 334131.

It is an arithmetic number, because the mean of its divisors is an integer number (2617472).

Almost surely, 2112545531 is an apocalyptic number.

112545531 is a deficient number, since it is larger than the sum of its proper divisors (96852229).

112545531 is a wasteful number, since it uses less digits than its factorization.

112545531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 397 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The square root of 112545531 is about 10608.7478525979. The cubic root of 112545531 is about 482.8098089962.

It can be divided in two parts, 1125 and 45531, that added together give a 6-th power (46656 = 66).

The spelling of 112545531 in words is "one hundred twelve million, five hundred forty-five thousand, five hundred thirty-one".

Divisors: 1 3 7 9 19 21 27 31 57 63 81 93 133 171 189 217 279 337 399 513 567 589 651 837 1011 1197 1539 1767 1953 2359 2511 3033 3591 4123 5301 5859 6403 7077 9099 10447 10773 12369 15903 17577 19209 21231 27297 31341 37107 44821 47709 57627 63693 73129 94023 111321 134463 172881 191079 198493 219387 282069 333963 403389 518643 595479 658161 846207 1210167 1389451 1786437 1974483 3630501 4168353 5359311 5923449 12505059 16077933 37515177 112545531