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10301332320 = 2532560111903
BaseRepresentation
bin10011001100000000…
…11101101101100000
3222120220202220100200
421212000131231200
5132044120113240
64422105145200
7513163610556
oct114600355540
928526686320
1010301332320
114406919494
121bb5a8b200
13c82263816
146da1a1bd6
15404581930
hex26601db60

10301332320 has 144 divisors (see below), whose sum is σ = 35214746112. Its totient is φ = 2742220800.

The previous prime is 10301332313. The next prime is 10301332337. The reversal of 10301332320 is 2323310301.

10301332320 is a `hidden beast` number, since 1 + 0 + 301 + 332 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×103013323202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10301332293 and 10301332302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 859489 + ... + 871391.

It is an arithmetic number, because the mean of its divisors is an integer number (244546848).

Almost surely, 210301332320 is an apocalyptic number.

10301332320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10301332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17607373056).

10301332320 is an abundant number, since it is smaller than the sum of its proper divisors (24913413792).

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

10301332320 is a wasteful number, since it uses less digits than its factorization.

10301332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12525 (or 12514 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10301332320 its reverse (2323310301), we get a palindrome (12624642621).

The spelling of 10301332320 in words is "ten billion, three hundred one million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 601 720 1202 1440 1803 2404 3005 3606 4808 5409 6010 7212 9015 9616 10818 11903 12020 14424 18030 19232 21636 23806 24040 27045 28848 35709 36060 43272 47612 48080 54090 57696 59515 71418 72120 86544 95224 96160 107127 108180 119030 142836 144240 173088 178545 190448 214254 216360 238060 285672 288480 357090 380896 428508 432720 476120 535635 571344 714180 857016 865440 952240 1071270 1142688 1428360 1714032 1904480 2142540 2856720 3428064 4285080 5713440 7153703 8570160 14307406 17140320 21461109 28614812 35768515 42922218 57229624 64383327 71537030 85844436 107305545 114459248 128766654 143074060 171688872 214611090 228918496 257533308 286148120 321916635 343377744 429222180 515066616 572296240 643833270 686755488 858444360 1030133232 1144592480 1287666540 1716888720 2060266464 2575333080 3433777440 5150666160 10301332320