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30513371303382 = 231122912659114487
BaseRepresentation
bin1101111000000011100101…
…01010000100110111010110
311000001001100022101001200020
412330001302222010313112
512444412341023202012
6144521352123530010
76266342533435422
oct674016252046726
9130031308331606
1030513371303382
1197a4714689700
123509842389906
131404524863656
14776bd838db82
1537dac9754a8c
hex1bc072a84dd6

30513371303382 has 96 divisors (see below), whose sum is σ = 69398137670400. Its totient is φ = 8926848934080.

The previous prime is 30513371303297. The next prime is 30513371303383. The reversal of 30513371303382 is 28330317331503.

It is a super-2 number, since 2×305133713033822 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30513371303383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266465343 + ... + 266579829.

It is an arithmetic number, because the mean of its divisors is an integer number (722897267400).

Almost surely, 230513371303382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30513371303382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34699068835200).

30513371303382 is an abundant number, since it is smaller than the sum of its proper divisors (38884766367018).

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

30513371303382 is a wasteful number, since it uses less digits than its factorization.

30513371303382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127202 (or 127191 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 42.

Adding to 30513371303382 its reverse (28330317331503), we get a palindrome (58843688634885).

The spelling of 30513371303382 in words is "thirty trillion, five hundred thirteen billion, three hundred seventy-one million, three hundred three thousand, three hundred eighty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 121 174 242 319 363 638 726 957 1914 3509 7018 10527 12659 21054 25318 37977 75954 114487 139249 228974 278498 343461 367111 417747 686922 734222 835494 1101333 1259357 1531739 2202666 2518714 3063478 3320123 3778071 4038221 4595217 6640246 7556142 8076442 9190434 9960369 12114663 13852927 19920738 24229326 27705854 36521353 41558781 44420431 73042706 83117562 88840862 109564059 133261293 219128118 266522586 401734883 803469766 1205204649 1449290933 2410409298 2898581866 4347872799 8695745598 15942200263 31884400526 42029437057 47826600789 84058874114 95653201578 126088311171 175364202893 252176622342 350728405786 462323807627 526092608679 924647615254 1052185217358 1386971422881 2773942845762 5085561883897 10171123767794 15256685651691 30513371303382