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1130442133200 = 243521914932121
BaseRepresentation
bin10000011100110011100…
…110100000111011010000
311000001212110022100211120
4100130303212200323100
5122010121141230300
62223152402042240
7144446260406322
oct20346346407320
94001773270746
101130442133200
113a6466128266
12163106949380
13827a5944443
143c9dc523612
151e6133123a0
hex107339a0ed0

1130442133200 has 120 divisors (see below), whose sum is σ = 3640142777856. Its totient is φ = 299872896000.

The previous prime is 1130442133199. The next prime is 1130442133211. The reversal of 1130442133200 is 23312440311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×11304421332003 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2236861 + ... + 2695260.

Almost surely, 21130442133200 is an apocalyptic number.

1130442133200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130442133200 is an abundant number, since it is smaller than the sum of its proper divisors (2509700644656).

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

1130442133200 is a wasteful number, since it uses less digits than its factorization.

1130442133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4932333 (or 4932322 counting only the distinct ones).

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

Adding to 1130442133200 its reverse (23312440311), we get a palindrome (1153754573511).

The spelling of 1130442133200 in words is "one trillion, one hundred thirty billion, four hundred forty-two million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 191 200 240 300 382 400 573 600 764 955 1146 1200 1528 1910 2292 2865 3056 3820 4584 4775 5730 7640 9168 9550 11460 14325 15280 19100 22920 28650 38200 45840 57300 76400 114600 229200 4932121 9864242 14796363 19728484 24660605 29592726 39456968 49321210 59185452 73981815 78913936 98642420 118370904 123303025 147963630 197284840 236741808 246606050 295927260 369909075 394569680 493212100 591854520 739818150 942035111 986424200 1183709040 1479636300 1884070222 1972848400 2826105333 2959272600 3768140444 4710175555 5652210666 5918545200 7536280888 9420351110 11304421332 14130526665 15072561776 18840702220 22608842664 23550877775 28261053330 37681404440 45217685328 47101755550 56522106660 70652633325 75362808880 94203511100 113044213320 141305266650 188407022200 226088426640 282610533300 376814044400 565221066600 1130442133200