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36429121131 = 3131481630709
BaseRepresentation
bin100001111011010110…
…000100011001101011
310111000210211002120120
4201323112010121223
51044101323334011
624422454254323
72426514264144
oct417326043153
9114023732516
1036429121131
11144a431a987
1270880573a3
13358732a3a0
141a9823cacb
15e33278a06
hex87b58466b

36429121131 has 16 divisors (see below), whose sum is σ = 52343884320. Its totient is φ = 22402748160.

The previous prime is 36429121111. The next prime is 36429121133. The reversal of 36429121131 is 13112192463.

36429121131 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 36429121131 - 219 = 36428596843 is a prime.

It is a super-2 number, since 2×364291211312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36429121092 and 36429121101.

It is not an unprimeable number, because it can be changed into a prime (36429121133) 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, 257596 + ... + 373113.

It is an arithmetic number, because the mean of its divisors is an integer number (3271492770).

Almost surely, 236429121131 is an apocalyptic number.

36429121131 is a deficient number, since it is larger than the sum of its proper divisors (15914763189).

36429121131 is a wasteful number, since it uses less digits than its factorization.

36429121131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632206.

The product of its digits is 7776, while the sum is 33.

The spelling of 36429121131 in words is "thirty-six billion, four hundred twenty-nine million, one hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 13 39 1481 4443 19253 57759 630709 1892127 8199217 24597651 934080029 2802240087 12143040377 36429121131