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1023000120101 = 17193577540373
BaseRepresentation
bin11101110001011111000…
…11110000101100100101
310121210112122012120211002
432320233203300230211
5113230101012320401
62101543150523045
7133623616355531
oct16705743605445
93553478176732
101023000120101
11364940997613
12146320806485
137561239a56b
1437728d66bc1
151b925a9ba6b
hexee2f8f0b25

1023000120101 has 16 divisors (see below), whose sum is σ = 1090677912624. Its totient is φ = 956173123584.

The previous prime is 1023000120017. The next prime is 1023000120113. The reversal of 1023000120101 is 1010210003201.

It can be written as a sum of positive squares in 8 ways, for example, as 19589476 + 1022980530625 = 4426^2 + 1011425^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1023000120101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023000120151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1622951 + ... + 2163323.

It is an arithmetic number, because the mean of its divisors is an integer number (68167369539).

Almost surely, 21023000120101 is an apocalyptic number.

It is an amenable number.

1023000120101 is a deficient number, since it is larger than the sum of its proper divisors (67677792523).

1023000120101 is a wasteful number, since it uses less digits than its factorization.

1023000120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541160.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1023000120101 its reverse (1010210003201), we get a palindrome (2033210123302).

The spelling of 1023000120101 in words is "one trillion, twenty-three billion, one hundred twenty thousand, one hundred one".

Divisors: 1 17 193 577 3281 9809 111361 540373 1893137 9186341 104291989 311795221 1772963813 5300518757 60176477653 1023000120101