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1110002133300 = 2235243511316829
BaseRepresentation
bin10000001001110001010…
…010000110100100110100
310221010002221211210012020
4100021301102012210310
5121141241021231200
62205532233553140
7143123613313014
oct20116122064464
93833087753166
101110002133300
113988272a2865
1215b1615757b0
1380899061748
143ba1da23c44
151dd18b30ea0
hex10271486934

1110002133300 has 144 divisors (see below), whose sum is σ = 3287132735040. Its totient is φ = 289043112960.

The previous prime is 1110002133259. The next prime is 1110002133301. The reversal of 1110002133300 is 33312000111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1110002133300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110002133301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65949286 + ... + 65966114.

It is an arithmetic number, because the mean of its divisors is an integer number (22827310660).

Almost surely, 21110002133300 is an apocalyptic number.

1110002133300 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 1110002133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643566367520).

1110002133300 is an abundant number, since it is smaller than the sum of its proper divisors (2177130601740).

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

1110002133300 is a wasteful number, since it uses less digits than its factorization.

1110002133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22002 (or 21995 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1110002133300 its reverse (33312000111), we get a palindrome (1143314133411).

The spelling of 1110002133300 in words is "one trillion, one hundred ten billion, two million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 2150 2580 3225 4300 5113 6450 10226 12900 15339 16829 20452 25565 30678 33658 50487 51130 61356 67316 76695 84145 100974 102260 127825 153390 168290 201948 219859 252435 255650 306780 336580 383475 420725 439718 504870 511300 659577 723647 766950 841450 879436 1009740 1099295 1262175 1319154 1447294 1533900 1682900 2170941 2198590 2524350 2638308 2894588 3297885 3618235 4341882 4397180 5048700 5496475 6595770 7236470 8683764 10854705 10992950 13191540 14472940 16489425 18091175 21709410 21985900 32978850 36182350 43418820 54273525 65957700 72364700 86046677 108547050 172093354 217094100 258140031 344186708 430233385 516280062 860466770 1032560124 1290700155 1720933540 2151166925 2581400310 3700007111 4302333850 5162800620 6453500775 7400014222 8604667700 11100021333 12907001550 14800028444 18500035555 22200042666 25814003100 37000071110 44400085332 55500106665 74000142220 92500177775 111000213330 185000355550 222000426660 277500533325 370000711100 555001066650 1110002133300