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350130031053 = 31153679730803
BaseRepresentation
bin1010001100001010110…
…00000100100111001101
31020110202011102110102220
411012011120010213031
521214031241443203
6424503021405553
734203356105355
oct5060530044715
91213664373386
10350130031053
11125542302630
1257a35a098b9
132702b7c828a
1412d36c3db65
15919368b653
hex51856049cd

350130031053 has 64 divisors (see below), whose sum is σ = 532080202752. Its totient is φ = 202967930880.

The previous prime is 350130031037. The next prime is 350130031057.

350130031053 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 350130031053 - 24 = 350130031037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350130031057) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11351350 + ... + 11382152.

It is an arithmetic number, because the mean of its divisors is an integer number (8313753168).

Almost surely, 2350130031053 is an apocalyptic number.

350130031053 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

350130031053 is a deficient number, since it is larger than the sum of its proper divisors (181950171699).

350130031053 is a wasteful number, since it uses less digits than its factorization.

350130031053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31034.

The product of its (nonzero) digits is 2025, while the sum is 24.

It can be divided in two parts, 3501300 and 31053, that added together give a palindrome (3532353).

The spelling of 350130031053 in words is "three hundred fifty billion, one hundred thirty million, thirty-one thousand, fifty-three".

Divisors: 1 3 11 33 53 67 97 159 201 291 583 737 1067 1749 2211 3201 3551 5141 6499 10653 15423 19497 30803 39061 56551 71489 92409 117183 169653 214467 338833 344447 1016499 1033341 1632559 2063801 2987891 3788917 4897677 6191403 8963673 11366751 17958149 22701811 32866801 53874447 68105433 98600403 109381453 158358223 200188697 328144359 475074669 600566091 1203195983 1741940453 2202075667 3609587949 5225821359 6606227001 10610000941 31830002823 116710010351 350130031053