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1013036620401 = 321321811367771
BaseRepresentation
bin11101011110111011011…
…00000001101001110001
310120211211021010100200200
432233131230001221301
5113044144333323101
62053214350305413
7133121664124461
oct16573554015161
93524737110620
101013036620401
11360698842843
121443bbab8269
13746b511ca00
14370619c5ba1
151b540eed986
hexebddb01a71

1013036620401 has 36 divisors (see below), whose sum is σ = 1585372413456. Its totient is φ = 623061223200.

The previous prime is 1013036620399. The next prime is 1013036620411. The reversal of 1013036620401 is 1040266303101.

1013036620401 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 0 + 36 + 620 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 1013036620401 - 21 = 1013036620399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1013036620411) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2570646 + ... + 2938416.

It is an arithmetic number, because the mean of its divisors is an integer number (44038122596).

Almost surely, 21013036620401 is an apocalyptic number.

It is an amenable number.

1013036620401 is a deficient number, since it is larger than the sum of its proper divisors (572335793055).

1013036620401 is a wasteful number, since it uses less digits than its factorization.

1013036620401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369614 (or 369598 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 1013036620401 in words is "one trillion, thirteen billion, thirty-six million, six hundred twenty thousand, four hundred one".

Divisors: 1 3 9 13 39 117 169 507 1521 1811 5433 16299 23543 70629 211887 306059 367771 918177 1103313 2754531 3309939 4781023 14343069 43029207 62153299 186459897 559379691 666033281 1998099843 5994299529 8658432653 25975297959 77925893877 112559624489 337678873467 1013036620401