Search a number
-
+
1133344400100 = 22352111731985189
BaseRepresentation
bin10000011111100000100…
…101110010001011100100
311000100100201102210120020
4100133200211302023210
5122032042131300400
62224352355435140
7144611221311003
oct20374045621344
94010321383506
101133344400100
113a7715405350
121637968b5ab0
1382b48cc9c33
143cbd5b68c3a
151e732eed2a0
hex107e09722e4

1133344400100 has 144 divisors (see below), whose sum is σ = 3597926592960. Its totient is φ = 273161868800.

The previous prime is 1133344400077. The next prime is 1133344400129. The reversal of 1133344400100 is 10044433311.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421695 + ... + 1563494.

It is an arithmetic number, because the mean of its divisors is an integer number (24985601340).

Almost surely, 21133344400100 is an apocalyptic number.

1133344400100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1133344400100 is an abundant number, since it is smaller than the sum of its proper divisors (2464582192860).

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

1133344400100 is a wasteful number, since it uses less digits than its factorization.

1133344400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985390 (or 1985383 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1133344400100 its reverse (10044433311), we get a palindrome (1143388833411).

The spelling of 1133344400100 in words is "one trillion, one hundred thirty-three billion, three hundred forty-four million, four hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 173 220 275 300 330 346 519 550 660 692 825 865 1038 1100 1650 1730 1903 2076 2595 3300 3460 3806 4325 5190 5709 7612 8650 9515 10380 11418 12975 17300 19030 22836 25950 28545 38060 47575 51900 57090 95150 114180 142725 190300 285450 570900 1985189 3970378 5955567 7940756 9925945 11911134 19851890 21837079 23822268 29777835 39703780 43674158 49629725 59555670 65511237 87348316 99259450 109185395 119111340 131022474 148889175 198518900 218370790 262044948 297778350 327556185 343437697 436741580 545926975 595556700 655112370 686875394 1030313091 1091853950 1310224740 1373750788 1637780925 1717188485 2060626182 2183707900 3275561850 3434376970 3777814667 4121252364 5151565455 6551123700 6868753940 7555629334 8585942425 10303130910 11333444001 15111258668 17171884850 18889073335 20606261820 22666888002 25757827275 34343769700 37778146670 45333776004 51515654550 56667220005 75556293340 94445366675 103031309100 113334440010 188890733350 226668880020 283336100025 377781466700 566672200050 1133344400100