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1000223130020 = 225971674017699
BaseRepresentation
bin11101000111000011111…
…00011100000110100100
310112121202021021121022212
432203201330130012210
5112341424110130040
62043255100542552
7132156314216612
oct16434174340644
93477667247285
101000223130020
11356212976874
12141a24851a58
1373422590b3a
14365a7d2a6b2
151b04113dd65
hexe8e1f1c1a4

1000223130020 has 96 divisors (see below), whose sum is σ = 2140431955200. Its totient is φ = 392561049600.

The previous prime is 1000223129981. The next prime is 1000223130031. The reversal of 1000223130020 is 200313220001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1000223129977 and 1000223130004.

It is an unprimeable number.

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, 129912131 + ... + 129919829.

It is an arithmetic number, because the mean of its divisors is an integer number (22296166200).

Almost surely, 21000223130020 is an apocalyptic number.

1000223130020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000223130020 is an abundant number, since it is smaller than the sum of its proper divisors (1140208825180).

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

1000223130020 is a wasteful number, since it uses less digits than its factorization.

1000223130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8373 (or 8371 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 1000223130020 its reverse (200313220001), we get a palindrome (1200536350021).

The spelling of 1000223130020 in words is "one trillion, two hundred twenty-three million, one hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 97 167 194 334 388 401 485 668 802 835 970 1604 1670 1940 2005 3340 4010 7699 8020 15398 16199 30796 32398 38495 38897 64796 66967 76990 77794 80995 133934 153980 155588 161990 194485 267868 323980 334835 388970 669670 746803 777940 1285733 1339340 1493606 2571466 2987212 3087299 3734015 5142932 6174598 6428665 6495799 7468030 12349196 12857330 12991598 14936060 15436495 25714660 25983196 30872990 32478995 61745980 64957990 124716101 129915980 249432202 299468003 498864404 515578933 598936006 623580505 1031157866 1197872012 1247161010 1497340015 2062315732 2494322020 2577894665 2994680030 5155789330 5989360060 10311578660 50011156501 100022313002 200044626004 250055782505 500111565010 1000223130020