Search a number
-
+
1100233213300 = 22521337963391
BaseRepresentation
bin10000000000101011000…
…000101000010101110100
310220011220010220020020101
4100000223000220111310
5121011234200311200
62201235024043444
7142326543002464
oct20005300502564
93804803806211
101100233213300
11394673a69661
12159295a63584
137c9a01c1000
143b374453ba4
151d9461bb26a
hex1002b028574

1100233213300 has 144 divisors (see below), whose sum is σ = 2619154585600. Its totient is φ = 401091350400.

The previous prime is 1100233213297. The next prime is 1100233213459. The reversal of 1100233213300 is 33123320011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17324605 + ... + 17387995.

Almost surely, 21100233213300 is an apocalyptic number.

1100233213300 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 1100233213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309577292800).

1100233213300 is an abundant number, since it is smaller than the sum of its proper divisors (1518921372300).

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

1100233213300 is a wasteful number, since it uses less digits than its factorization.

1100233213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63523 (or 63490 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 1100233213300 its reverse (33123320011), we get a palindrome (1133356533311).

The spelling of 1100233213300 in words is "one trillion, one hundred billion, two hundred thirty-three million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 79 100 130 158 169 260 316 325 338 395 650 676 790 845 1027 1300 1580 1690 1975 2054 2197 3380 3950 4108 4225 4394 5135 7900 8450 8788 10270 10985 13351 16900 20540 21970 25675 26702 43940 51350 53404 54925 63391 66755 102700 109850 126782 133510 173563 219700 253564 267020 316955 333775 347126 633910 667550 694252 824083 867815 1267820 1335100 1584775 1648166 1735630 3169550 3296332 3471260 4120415 4339075 5007889 6339100 8240830 8678150 10015778 10713079 16481660 17356300 20031556 20602075 21426158 25039445 41204150 42852316 50078890 53565395 65102557 82408300 100157780 107130790 125197225 130205114 139270027 214261580 250394450 260410228 267826975 278540054 325512785 500788900 535653950 557080108 651025570 696350135 846333241 1071307900 1302051140 1392700270 1627563925 1692666482 2785400540 3255127850 3385332964 3481750675 4231666205 6510255700 6963501350 8463332410 11002332133 13927002700 16926664820 21158331025 22004664266 42316662050 44009328532 55011660665 84633324100 110023321330 220046642660 275058303325 550116606650 1100233213300