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1011042001314 = 2321731249259949
BaseRepresentation
bin11101011011001101100…
…11001010000110100010
310120122200020220012200200
432231212303022012202
5113031103223020224
62052244414530030
7133021364133462
oct16554663120642
93518606805620
101011042001314
1135a864940a14
12143b43b06916
1374457b0a927
1436d12b2bba2
151b475d505c9
hexeb66cca1a2

1011042001314 has 48 divisors (see below), whose sum is σ = 2205025875000. Its totient is φ = 334796387328.

The previous prime is 1011042001303. The next prime is 1011042001397. The reversal of 1011042001314 is 4131002401101.

1011042001314 is a `hidden beast` number, since 1 + 0 + 110 + 420 + 0 + 131 + 4 = 666.

1011042001314 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 4 ways, for example, as 1006982145225 + 4059856089 = 1003485^2 + 63717^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3759412 + ... + 4019360.

Almost surely, 21011042001314 is an apocalyptic number.

1011042001314 is an abundant number, since it is smaller than the sum of its proper divisors (1193983873686).

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

1011042001314 is a wasteful number, since it uses less digits than its factorization.

1011042001314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261379 (or 261376 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1011042001314 its reverse (4131002401101), we get a palindrome (5142044402415).

The spelling of 1011042001314 in words is "one trillion, eleven billion, forty-two million, one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 173 346 519 1038 1249 1557 2498 3114 3747 7494 11241 22482 216077 259949 432154 519898 648231 779847 1296462 1559694 1944693 2339541 3889386 4679082 44971177 89942354 134913531 269827062 324676301 404740593 649352602 809481186 974028903 1948057806 2922086709 5844173418 56169000073 112338000146 168507000219 337014000438 505521000657 1011042001314