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133302312031 = 72313118233467
BaseRepresentation
bin111110000100101101…
…1111101110001011111
3110202002001211002002211
41330021123331301133
54141000342441111
6141123243101251
712426232646140
oct1741133756137
9422061732084
10133302312031
1151595753029
1221a02811827
13c7550b6315
146647cc7ac7
153702c21521
hex1f096fdc5f

133302312031 has 32 divisors (see below), whose sum is σ = 160316817408. Its totient is φ = 108366292320.

The previous prime is 133302311957. The next prime is 133302312047. The reversal of 133302312031 is 130213203331.

It is a cyclic number.

It is not a de Polignac number, because 133302312031 - 211 = 133302309983 is a prime.

It is a super-2 number, since 2×1333023120312 (a number of 23 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 = 133302311993 and 133302312011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133302312331) 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, 38447160 + ... + 38450626.

It is an arithmetic number, because the mean of its divisors is an integer number (5009900544).

Almost surely, 2133302312031 is an apocalyptic number.

133302312031 is a deficient number, since it is larger than the sum of its proper divisors (27014505377).

133302312031 is a wasteful number, since it uses less digits than its factorization.

133302312031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5451.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 133302312031 its reverse (130213203331), we get a palindrome (263515515362).

The spelling of 133302312031 in words is "one hundred thirty-three billion, three hundred two million, three hundred twelve thousand, thirty-one".

Divisors: 1 7 23 131 161 917 1823 3013 3467 12761 21091 24269 41929 79741 238813 293503 454177 558187 1671691 3179239 5492699 6320341 10446071 38448893 44242387 73122497 145367843 827964671 1017574901 5795752697 19043187433 133302312031