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10042302311331 = 343682711402857
BaseRepresentation
bin1001001000100010011111…
…0111001010101110100011
31022120000221022111022201220
42102020213313022232203
52304013113342430311
633205211530230123
72054350420144113
oct222104767125643
938500838438656
1010042302311331
113221a099416a4
121162322885343
1357aca61b1c84
1426a09b3ab043
15126353b06206
hex92227dcaba3

10042302311331 has 16 divisors (see below), whose sum is σ = 13703133738624. Its totient is φ = 6538215184704.

The previous prime is 10042302311207. The next prime is 10042302311369. The reversal of 10042302311331 is 13311320324001.

10042302311331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10042302311331 - 215 = 10042302278563 is a prime.

It is a super-3 number, since 3×100423023113313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10042303311331) 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, 4820746 + ... + 6582111.

It is an arithmetic number, because the mean of its divisors is an integer number (856445858664).

Almost surely, 210042302311331 is an apocalyptic number.

10042302311331 is a deficient number, since it is larger than the sum of its proper divisors (3660831427293).

10042302311331 is a wasteful number, since it uses less digits than its factorization.

10042302311331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11409730.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 10042302311331 its reverse (13311320324001), we get a palindrome (23353622635332).

The spelling of 10042302311331 in words is "ten trillion, forty-two billion, three hundred two million, three hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 43 129 6827 20481 293561 880683 11402857 34208571 490322851 1470968553 77847304739 233541914217 3347434103777 10042302311331