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10191300240 = 2435117154371
BaseRepresentation
bin10010111110111001…
…01110011010010000
3222022020201200201110
421133130232122100
5131332433101430
64403134533320
7510356423412
oct113734563220
928266650643
1010191300240
11435a7a5790
121b85067240
13c65519994
146c971c9b2
153e9a997b0
hex25f72e690

10191300240 has 160 divisors (see below), whose sum is σ = 34951191552. Its totient is φ = 2435776000.

The previous prime is 10191300227. The next prime is 10191300271. The reversal of 10191300240 is 4200319101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160255 + ... + 214625.

Almost surely, 210191300240 is an apocalyptic number.

10191300240 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 10191300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17475595776).

10191300240 is an abundant number, since it is smaller than the sum of its proper divisors (24759891312).

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

10191300240 is a wasteful number, since it uses less digits than its factorization.

10191300240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54469 (or 54463 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 10191300240 its reverse (4200319101), we get a palindrome (14391619341).

The spelling of 10191300240 in words is "ten billion, one hundred ninety-one million, three hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 71 80 88 110 120 132 142 165 176 213 220 240 264 284 330 355 426 440 528 568 660 710 781 852 880 1065 1136 1320 1420 1562 1704 2130 2343 2640 2840 3124 3408 3905 4260 4686 5680 6248 7810 8520 9372 11715 12496 15620 17040 18744 23430 31240 37488 46860 54371 62480 93720 108742 163113 187440 217484 271855 326226 434968 543710 598081 652452 815565 869936 1087420 1196162 1304904 1631130 1794243 2174840 2392324 2609808 2990405 3262260 3588486 3860341 4349680 4784648 5980810 6524520 7176972 7720682 8971215 9569296 11581023 11961620 13049040 14353944 15441364 17942430 19301705 23162046 23923240 28707888 30882728 35884860 38603410 42463751 46324092 47846480 57905115 61765456 71769720 77206820 84927502 92648184 115810230 127391253 143539440 154413640 169855004 185296368 212318755 231620460 254782506 308827280 339710008 424637510 463240920 509565012 636956265 679420016 849275020 926481840 1019130024 1273912530 1698550040 2038260048 2547825060 3397100080 5095650120 10191300240