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10289030388 = 223721310113327
BaseRepresentation
bin10011001010100011…
…00010010011110100
3222120001121220021120
421211101202103310
5132032442433023
64420545343540
7512654213100
oct114521422364
928501556246
1010289030388
1143aa9868aa
121bb1937bb0
13c7c847280
146d86bc900
154034518e3
hex2654624f4

10289030388 has 144 divisors (see below), whose sum is σ = 30375684864. Its totient is φ = 2686521600.

The previous prime is 10289030383. The next prime is 10289030393. The reversal of 10289030388 is 88303098201.

It is an interprime number because it is at equal distance from previous prime (10289030383) and next prime (10289030393).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10289030383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 765381 + ... + 778707.

It is an arithmetic number, because the mean of its divisors is an integer number (210942256).

Almost surely, 210289030388 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10289030388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15187842432).

10289030388 is an abundant number, since it is smaller than the sum of its proper divisors (20086654476).

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

10289030388 is a wasteful number, since it uses less digits than its factorization.

10289030388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13462 (or 13453 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 10289030388 in words is "ten billion, two hundred eighty-nine million, thirty thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 101 147 156 182 196 202 273 294 303 364 404 546 588 606 637 707 1092 1212 1274 1313 1414 1911 2121 2548 2626 2828 3822 3939 4242 4949 5252 7644 7878 8484 9191 9898 13327 14847 15756 18382 19796 26654 27573 29694 36764 39981 53308 55146 59388 64337 79962 93289 110292 128674 159924 173251 186578 193011 257348 279867 346502 373156 386022 519753 559734 653023 693004 772044 1039506 1119468 1212757 1306046 1346027 1959069 2079012 2425514 2612092 2692054 3638271 3918138 4038081 4851028 5384108 7276542 7836276 8076162 8489299 9422189 14553084 16152324 16978598 17498351 18844378 25467897 28266567 33957196 34996702 37688756 50935794 52495053 56533134 65955323 69993404 101871588 104990106 113066268 122488457 131910646 197865969 209980212 244976914 263821292 367465371 395731938 489953828 734930742 791463876 857419199 1469861484 1714838398 2572257597 3429676796 5144515194 10289030388