Search a number
-
+
1010133223320 = 2335135573116189
BaseRepresentation
bin11101011001100001010…
…00011100011110011000
310120120022220212111122110
432230300220130132120
5113022223101121240
62052014312352320
7132660020505114
oct16546050343630
93516286774573
101010133223320
1135a438963621
1214392b6a56a0
137434175c980
1436c68168744
151b42118cc80
hexeb30a1c798

1010133223320 has 128 divisors (see below), whose sum is σ = 3264121022400. Its totient is φ = 248601421824.

The previous prime is 1010133223303. The next prime is 1010133223321. The reversal of 1010133223320 is 233223310101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010133223321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8635786 + ... + 8751974.

Almost surely, 21010133223320 is an apocalyptic number.

1010133223320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010133223320 is an abundant number, since it is smaller than the sum of its proper divisors (2253987799080).

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

1010133223320 is a wasteful number, since it uses less digits than its factorization.

1010133223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121789 (or 121785 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1010133223320 its reverse (233223310101), we get a palindrome (1243356533421).

The spelling of 1010133223320 in words is "one trillion, ten billion, one hundred thirty-three million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 5573 11146 16719 22292 27865 33438 44584 55730 66876 72449 83595 111460 116189 133752 144898 167190 217347 222920 232378 289796 334380 348567 362245 434694 464756 579592 580945 668760 697134 724490 869388 929512 1086735 1161890 1394268 1448980 1510457 1738776 1742835 2173470 2323780 2788536 2897960 3020914 3485670 4346940 4531371 4647560 6041828 6971340 7552285 8693880 9062742 12083656 13942680 15104570 18125484 22656855 30209140 36250968 45313710 60418280 90627420 181254840 647521297 1295042594 1942563891 2590085188 3237606485 3885127782 5180170376 6475212970 7770255564 8417776861 9712819455 12950425940 15540511128 16835553722 19425638910 25253330583 25900851880 33671107444 38851277820 42088884305 50506661166 67342214888 77702555640 84177768610 101013322332 126266652915 168355537220 202026644664 252533305830 336711074440 505066611660 1010133223320