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10434023133131 = 138971912542657
BaseRepresentation
bin1001011111010101110000…
…1111100000111111001011
31100221111001000022212100002
42113311130033200333023
52331422334410230011
634105153555033215
72124555551166263
oct227653417407713
940844030285302
1010434023133131
113363054053964
12120622529b80b
135a8c024bc8b0
1428101bb927a3
1513162d759c3b
hex97d5c3e0fcb

10434023133131 has 16 divisors (see below), whose sum is σ = 11378699337600. Its totient is φ = 9509942120448.

The previous prime is 10434023133091. The next prime is 10434023133137. The reversal of 10434023133131 is 13133132043401.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10434023133131 is a prime.

It is a super-2 number, since 2×104340231331312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10434023133094 and 10434023133103.

It is not an unprimeable number, because it can be changed into a prime (10434023133137) 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, 5439446 + ... + 7103211.

It is an arithmetic number, because the mean of its divisors is an integer number (711168708600).

Almost surely, 210434023133131 is an apocalyptic number.

10434023133131 is a deficient number, since it is larger than the sum of its proper divisors (944676204469).

10434023133131 is a wasteful number, since it uses less digits than its factorization.

10434023133131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12543478.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 10434023133131 its reverse (13133132043401), we get a palindrome (23567155176532).

The spelling of 10434023133131 in words is "ten trillion, four hundred thirty-four billion, twenty-three million, one hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 13 89 719 1157 9347 63991 831883 12542657 163054541 1116296473 9018170383 14511854149 117236214979 802617164087 10434023133131