Search a number
-
+
10255054422000 = 2435311315125449
BaseRepresentation
bin1001010100111011000011…
…1000000011111111110000
31100022101002101010100110110
42111032300320003333300
52321004322413001000
633451035034301320
72105621544224253
oct225166070037760
940271071110413
1010255054422000
1132a4164966333
1211975b8b87840
1359508041c05b
142764c0d2b09a
1512bb56863850
hex953b0e03ff0

10255054422000 has 160 divisors (see below), whose sum is σ = 33354884347200. Its totient is φ = 2710480281600.

The previous prime is 10255054421981. The next prime is 10255054422001. The reversal of 10255054422000 is 22445055201.

10255054422000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102550544220002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10255054422001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6884725 + ... + 8240724.

It is an arithmetic number, because the mean of its divisors is an integer number (208468027170).

Almost surely, 210255054422000 is an apocalyptic number.

10255054422000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10255054422000 is an abundant number, since it is smaller than the sum of its proper divisors (23099829925200).

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

10255054422000 is a wasteful number, since it uses less digits than its factorization.

10255054422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15125588 (or 15125572 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

Adding to 10255054422000 its reverse (22445055201), we get a palindrome (10277499477201).

The spelling of 10255054422000 in words is "ten trillion, two hundred fifty-five billion, fifty-four million, four hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 113 120 125 150 200 226 240 250 300 339 375 400 452 500 565 600 678 750 904 1000 1130 1200 1356 1500 1695 1808 2000 2260 2712 2825 3000 3390 4520 5424 5650 6000 6780 8475 9040 11300 13560 14125 16950 22600 27120 28250 33900 42375 45200 56500 67800 84750 113000 135600 169500 226000 339000 678000 15125449 30250898 45376347 60501796 75627245 90752694 121003592 151254490 181505388 226881735 242007184 302508980 363010776 378136225 453763470 605017960 726021552 756272450 907526940 1134408675 1210035920 1512544900 1709175737 1815053880 1890681125 2268817350 3025089800 3418351474 3630107760 3781362250 4537634700 5127527211 5672043375 6050179600 6836702948 7562724500 8545878685 9075269400 10255054422 11344086750 13673405896 15125449000 17091757370 18150538800 20510108844 22688173500 25637636055 27346811792 30250898000 34183514740 41020217688 42729393425 45376347000 51275272110 68367029480 82040435376 85458786850 90752694000 102550544220 128188180275 136734058960 170917573700 205101088440 213646967125 256376360550 341835147400 410202176880 427293934250 512752721100 640940901375 683670294800 854587868500 1025505442200 1281881802750 1709175737000 2051010884400 2563763605500 3418351474000 5127527211000 10255054422000