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34132031120 = 2451138786399
BaseRepresentation
bin11111110010011011…
…010111011010010000
310021002201102211110202
4133302123113122100
51024400244443440
623402515514332
72315552322545
oct376233273220
9107081384422
1034132031120
1113525707190
1267468b89a8
1332ac463925
14191b12abcc
15d4b77e615
hex7f26d7690

34132031120 has 40 divisors (see below), whose sum is σ = 86571244800. Its totient is φ = 12411647360.

The previous prime is 34132031107. The next prime is 34132031137. The reversal of 34132031120 is 2113023143.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34132031092 and 34132031101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19392320 + ... + 19394079.

It is an arithmetic number, because the mean of its divisors is an integer number (2164281120).

Almost surely, 234132031120 is an apocalyptic number.

It is an amenable number.

34132031120 is an abundant number, since it is smaller than the sum of its proper divisors (52439213680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34132031120 is a wasteful number, since it uses less digits than its factorization.

34132031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38786423 (or 38786417 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 34132031120 its reverse (2113023143), we get a palindrome (36245054263).

The spelling of 34132031120 in words is "thirty-four billion, one hundred thirty-two million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 38786399 77572798 155145596 193931995 310291192 387863990 426650389 620582384 775727980 853300778 1551455960 1706601556 2133251945 3102911920 3413203112 4266503890 6826406224 8533007780 17066015560 34132031120