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10300033011320 = 23513107223830131
BaseRepresentation
bin1001010111100010100111…
…0011110000111001111000
31100110200012000021102120222
42111320221303300321320
52322223431422330240
633523434141435212
72112103264016603
oct225705163607170
940420160242528
1010300033011320
1133112461281a8
1211a427026bb08
1359939aa74950
1427874a7c533a
1512cdda472eb5
hex95e29cf0e78

10300033011320 has 128 divisors (see below), whose sum is σ = 25304017213440. Its totient is φ = 3750646878720.

The previous prime is 10300033011251. The next prime is 10300033011403. The reversal of 10300033011320 is 2311033000301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11992655 + ... + 12822785.

It is an arithmetic number, because the mean of its divisors is an integer number (197687634480).

Almost surely, 210300033011320 is an apocalyptic number.

10300033011320 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 10300033011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12652008606720).

10300033011320 is an abundant number, since it is smaller than the sum of its proper divisors (15003984202120).

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

10300033011320 is a wasteful number, since it uses less digits than its factorization.

10300033011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830485 (or 830481 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 10300033011320 its reverse (2311033000301), we get a palindrome (12611066011621).

The spelling of 10300033011320 in words is "ten trillion, three hundred billion, thirty-three million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 107 130 214 223 260 428 446 520 535 856 892 1070 1115 1391 1784 2140 2230 2782 2899 4280 4460 5564 5798 6955 8920 11128 11596 13910 14495 23192 23861 27820 28990 47722 55640 57980 95444 115960 119305 190888 238610 310193 477220 620386 830131 954440 1240772 1550965 1660262 2481544 3101930 3320524 4150655 6203860 6641048 8301310 10791703 12407720 16602620 21583406 33205240 43166812 53958515 86333624 88824017 107917030 177648034 185119213 215834060 355296068 370238426 431668120 444120085 710592136 740476852 888240170 925596065 1154712221 1480953704 1776480340 1851192130 2309424442 2406549769 3552960680 3702384260 4618848884 4813099538 5773561105 7404768520 9237697768 9626199076 11547122210 12032748845 19252398152 19807755791 23094244420 24065497690 39615511582 46188488840 48130995380 79231023164 96261990760 99038778955 158462046328 198077557910 257500825283 396155115820 515001650566 792310231640 1030003301132 1287504126415 2060006602264 2575008252830 5150016505660 10300033011320