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34011020433123 = 334329399967537
BaseRepresentation
bin1111011101110110011101…
…10010101001011011100011
311110102102101111021110122000
413232323032302221123203
513424214032212324443
6200200240323215043
710110133535500056
oct756731662513343
9143372344243560
1034011020433123
11a922aa1407198
123993691b17483
1315c92c1467916
148581dc198a9d
153dea8850c8d3
hex1eeececa96e3

34011020433123 has 32 divisors (see below), whose sum is σ = 51576028627200. Its totient is φ = 22139173300608.

The previous prime is 34011020433043. The next prime is 34011020433127. The reversal of 34011020433123 is 32133402011043.

It is a happy number.

34011020433123 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 102 + 0 + 433 + 123 = 666.

It is not a de Polignac number, because 34011020433123 - 222 = 34011016238819 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34011020433127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1571590 + ... + 8395947.

It is an arithmetic number, because the mean of its divisors is an integer number (1611750894600).

Almost surely, 234011020433123 is an apocalyptic number.

34011020433123 is a deficient number, since it is larger than the sum of its proper divisors (17565008194077).

34011020433123 is a wasteful number, since it uses less digits than its factorization.

34011020433123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9970528 (or 9970522 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 34011020433123 its reverse (32133402011043), we get a palindrome (66144422444166).

The spelling of 34011020433123 in words is "thirty-four trillion, eleven billion, twenty million, four hundred thirty-three thousand, one hundred twenty-three".

Divisors: 1 3 9 27 43 129 387 1161 2939 8817 26451 79353 126377 379131 1137393 3412179 9967537 29902611 89707833 269123499 428604091 1285812273 3857436819 11572310457 29294591243 87883773729 263651321187 790953963561 1259667423449 3779002270347 11337006811041 34011020433123