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1132200274401 = 327223222032
BaseRepresentation
bin10000011110011100011…
…001010010100111100001
311000020101222120012011100
4100132130121102213201
5122022221232240101
62224043045105013
7144540656354400
oct20363431224741
94006358505140
101132200274401
113a71885a1819
121635176b8169
13829c5c69891
143cb27c21637
151e6b784ce86
hex1079c6529e1

1132200274401 has 81 divisors (see below), whose sum is σ = 1989617151249. Its totient is φ = 618561477072.

The previous prime is 1132200274277. The next prime is 1132200274411. The reversal of 1132200274401 is 1044720022311.

The square root of 1132200274401 is 1064049.

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

1132200274401 is a `hidden beast` number, since 1 + 1 + 32 + 200 + 27 + 4 + 401 = 666.

It is not a de Polignac number, because 1132200274401 - 229 = 1131663403489 is a prime.

It is a super-2 number, since 2×11322002744012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1132200274411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 513934566 + ... + 513936768.

Almost surely, 21132200274401 is an apocalyptic number.

1132200274401 is the 1064049-th square number.

1132200274401 is the 532025-th centered octagonal number.

It is an amenable number.

1132200274401 is a deficient number, since it is larger than the sum of its proper divisors (857416876848).

1132200274401 is an frugal number, since it uses more digits than its factorization.

1132200274401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4472 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 1132200274401 its reverse (1044720022311), we get a palindrome (2176920296712).

The spelling of 1132200274401 in words is "one trillion, one hundred thirty-two billion, two hundred million, two hundred seventy-four thousand, four hundred one".

Divisors: 1 3 7 9 21 23 49 63 69 147 161 207 441 483 529 1127 1449 1587 2203 3381 3703 4761 6609 10143 11109 15421 19827 25921 33327 46263 50669 77763 107947 138789 152007 233289 323841 354683 456021 971523 1064049 1165387 2482781 3192147 3496161 4853209 7448343 8157709 10488483 14559627 22345029 24473127 33972463 43678881 57103963 73419381 101917389 111623807 171311889 237807241 305752167 334871421 513935667 713421723 781366649 1004614263 2140265169 2344099947 2567347561 5469566543 7032299841 7702042683 16408699629 17971432927 23106128049 49226098887 53914298781 125800030489 161742896343 377400091467 1132200274401