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10270744110 = 2345112939749
BaseRepresentation
bin10011001000010111…
…10001111000101110
3222111210012212020000
421210023301320232
5132013302302420
64415053405130
7512342612244
oct114413617056
928453185200
1010270744110
1143a0627080
121ba77997a6
13c78b13ba3
146d60bc794
15401a3d690
hex2642f1e2e

10270744110 has 160 divisors (see below), whose sum is σ = 31167180000. Its totient is φ = 2403959040.

The previous prime is 10270744109. The next prime is 10270744147. The reversal of 10270744110 is 1144707201.

10270744110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 238516 + ... + 278264.

It is an arithmetic number, because the mean of its divisors is an integer number (194794875).

Almost surely, 210270744110 is an apocalyptic number.

10270744110 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 10270744110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15583590000).

10270744110 is an abundant number, since it is smaller than the sum of its proper divisors (20896435890).

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

10270744110 is a wasteful number, since it uses less digits than its factorization.

10270744110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39808 (or 39799 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The spelling of 10270744110 in words is "ten billion, two hundred seventy million, seven hundred forty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 29 30 33 45 54 55 58 66 81 87 90 99 110 135 145 162 165 174 198 261 270 290 297 319 330 405 435 495 522 594 638 783 810 870 891 957 990 1305 1485 1566 1595 1782 1914 2349 2610 2871 2970 3190 3915 4455 4698 4785 5742 7830 8613 8910 9570 11745 14355 17226 23490 25839 28710 39749 43065 51678 79498 86130 119247 129195 198745 238494 258390 357741 397490 437239 596235 715482 874478 1073223 1152721 1192470 1311717 1788705 2146446 2186195 2305442 2623434 3219669 3458163 3577410 3935151 4372390 5366115 5763605 6439338 6558585 6916326 7870302 10374489 10732230 11527210 11805453 12679931 13117170 16098345 17290815 19675755 20748978 23610906 25359862 31123467 32196690 34581630 35416359 38039793 39351510 51872445 59027265 62246934 63399655 70832718 76079586 93370401 103744890 114119379 118054530 126799310 155617335 177081795 186740802 190198965 228238758 311234670 342358137 354163590 380397930 466852005 570596895 684716274 933704010 1027074411 1141193790 1711790685 2054148822 3423581370 5135372055 10270744110