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32132022023123 = 1154727111969829
BaseRepresentation
bin1110100111001010100011…
…10000100011001111010011
311012202210100212021021100022
413103211101300203033103
513202422340114214443
6152201125214214055
76524314313516621
oct723452160431723
9135683325237308
1032132022023123
11a26912882a960
12372b4991b432b
1314c1062763719
147d12aba94511
153aac633cce68
hex1d3951c233d3

32132022023123 has 16 divisors (see below), whose sum is σ = 35130168840960. Its totient is φ = 29146756984800.

The previous prime is 32132022023071. The next prime is 32132022023159.

32132022023123 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-32132022023123 is a prime.

It is a super-2 number, since 2×321320220231232 (a number of 28 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 = 32132022023092 and 32132022023101.

It is not an unprimeable number, because it can be changed into a prime (32132022023173) 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 15 ways as a sum of consecutive naturals, for example, 15327173 + ... + 17297001.

It is an arithmetic number, because the mean of its divisors is an integer number (2195635552560).

Almost surely, 232132022023123 is an apocalyptic number.

32132022023123 is a deficient number, since it is larger than the sum of its proper divisors (2998146817837).

32132022023123 is a wasteful number, since it uses less digits than its factorization.

32132022023123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973098.

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 3213202 and 2023123, that added together give a palindrome (5236325).

The spelling of 32132022023123 in words is "thirty-two trillion, one hundred thirty-two billion, twenty-two million, twenty-three thousand, one hundred twenty-three".

Divisors: 1 11 547 2711 6017 29821 1482917 1969829 16312087 21668119 1077496463 5340206419 11852461093 58742270609 2921092911193 32132022023123