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1023122402001 = 327111893145139
BaseRepresentation
bin11101110001101101101…
…10001110101011010001
310121210212011022011001100
432320312312032223101
5113230323313331001
62102003235455013
7133626632632530
oct16706666165321
93553764264040
101023122402001
113649a3a17837
12146355757469
137563181300b
143773b2b8317
151b9316a3586
hexee36d8ead1

1023122402001 has 24 divisors (see below), whose sum is σ = 1688990696640. Its totient is φ = 584632119456.

The previous prime is 1023122401969. The next prime is 1023122402039. The reversal of 1023122402001 is 1002042213201.

It is a happy number.

1023122402001 is a `hidden beast` number, since 10 + 231 + 22 + 402 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 1023122402001 - 25 = 1023122401969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1023122402051) 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 23 ways as a sum of consecutive naturals, for example, 6976690 + ... + 7121828.

It is an arithmetic number, because the mean of its divisors is an integer number (70374612360).

Almost surely, 21023122402001 is an apocalyptic number.

It is an amenable number.

1023122402001 is a deficient number, since it is larger than the sum of its proper divisors (665868294639).

1023122402001 is a wasteful number, since it uses less digits than its factorization.

1023122402001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257045 (or 257042 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1023122402001 its reverse (1002042213201), we get a palindrome (2025164615202).

The spelling of 1023122402001 in words is "one trillion, twenty-three billion, one hundred twenty-two million, four hundred two thousand, one".

Divisors: 1 3 7 9 21 63 111893 145139 335679 435417 783251 1007037 1015973 1306251 2349753 3047919 7049259 9143757 16240038127 48720114381 113680266889 146160343143 341040800667 1023122402001