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10313313430 = 2571931416101
BaseRepresentation
bin10011001101011100…
…01010110010010110
3222121202022121100111
421212232022302112
5132110202012210
64423214033234
7513400501120
oct114656126226
928552277314
1010313313430
114412662032
121bb9aa881a
13c8489a034
146dba00210
1540564b88a
hex266b8ac96

10313313430 has 128 divisors (see below), whose sum is σ = 23619133440. Its totient is φ = 3162240000.

The previous prime is 10313313427. The next prime is 10313313433. The reversal of 10313313430 is 3431331301.

10313313430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10313313427) and next prime (10313313433).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10313313433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1687380 + ... + 1693480.

It is an arithmetic number, because the mean of its divisors is an integer number (184524480).

Almost surely, 210313313430 is an apocalyptic number.

10313313430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10313313430 is an abundant number, since it is smaller than the sum of its proper divisors (13305820010).

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

10313313430 is a wasteful number, since it uses less digits than its factorization.

10313313430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6206.

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

Adding to 10313313430 its reverse (3431331301), we get a palindrome (13744644731).

The spelling of 10313313430 in words is "ten billion, three hundred thirteen million, three hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 19 31 35 38 41 62 70 82 95 133 155 190 205 217 266 287 310 410 434 574 589 665 779 1085 1178 1271 1330 1435 1558 2170 2542 2870 2945 3895 4123 5453 5890 6101 6355 7790 8246 8897 10906 12202 12710 17794 20615 24149 27265 30505 41230 42707 44485 48298 54530 61010 85414 88970 115919 120745 169043 189131 213535 231838 241490 250141 338086 378262 427070 500282 579595 811433 845215 945655 1159190 1250705 1323917 1622866 1690430 1750987 1891310 2501410 2647834 3501974 3593489 4057165 4752679 6619585 7186978 7754371 8114330 8754935 9505358 13239170 15508742 17509870 17967445 23763395 25154423 33268753 35934890 38771855 47526790 50308846 54280597 66537506 77543710 108561194 125772115 147333049 166343765 251544230 271402985 294666098 332687530 542805970 736665245 1031331343 1473330490 2062662686 5156656715 10313313430