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10299071310 = 23511297511433
BaseRepresentation
bin10011001011101111…
…10101101101001110
3222120202112000211120
421211313311231032
5132043030240220
64421544501410
7513135442653
oct114567655516
928522460746
1010299071310
114405614790
121bb517a866
13c81951648
146d9b73c2a
15404286a40
hex265df5b4e

10299071310 has 128 divisors (see below), whose sum is σ = 27951298560. Its totient is φ = 2405760000.

The previous prime is 10299071297. The next prime is 10299071347. The reversal of 10299071310 is 1317099201.

It is a super-2 number, since 2×102990713102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7186354 + ... + 7187786.

It is an arithmetic number, because the mean of its divisors is an integer number (218369520).

Almost surely, 210299071310 is an apocalyptic number.

10299071310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10299071310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13975649280).

10299071310 is an abundant number, since it is smaller than the sum of its proper divisors (17652227250).

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

10299071310 is a wasteful number, since it uses less digits than its factorization.

10299071310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234.

The product of its (nonzero) digits is 3402, while the sum is 33.

The spelling of 10299071310 in words is "ten billion, two hundred ninety-nine million, seventy-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 435 638 751 870 957 1433 1502 1595 1914 2253 2866 3190 3755 4299 4506 4785 7165 7510 8261 8598 9570 11265 14330 15763 16522 21495 21779 22530 24783 31526 41305 41557 42990 43558 47289 49566 65337 78815 82610 83114 94578 108895 123915 124671 130674 157630 207785 217790 236445 239569 247830 249342 326685 415570 457127 472890 479138 623355 653370 718707 914254 1076183 1197845 1246710 1371381 1437414 2152366 2285635 2395690 2742762 3228549 3593535 4571270 5380915 6457098 6856905 7187070 10761830 11838013 13713810 16142745 23676026 31209307 32285490 35514039 59190065 62418614 71028078 93627921 118380130 156046535 177570195 187255842 312093070 343302377 355140390 468139605 686604754 936279210 1029907131 1716511885 2059814262 3433023770 5149535655 10299071310