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102323111301200 = 24521409367349429
BaseRepresentation
bin10111010000111111110100…
…101100111001000001010000
3111102021222211120002011010102
4113100333310230321001100
5101402430212443114300
61001342331032151532
730360413041323566
oct2720776454710120
9442258746064112
10102323111301200
112a66aa95853989
12b586aa2b385a8
13451304966776a
141b3a671dc5a36
15bc69d3e040d5
hex5d0ff4b39050

102323111301200 has 120 divisors (see below), whose sum is σ = 246077702158200. Its totient is φ = 40888233492480.

The previous prime is 102323111301179. The next prime is 102323111301233. The reversal of 102323111301200 is 2103111323201.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 79302729523264 + 23020381777936 = 8905208^2 + 4797956^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2070078086 + ... + 2070127514.

It is an arithmetic number, because the mean of its divisors is an integer number (2050647517985).

Almost surely, 2102323111301200 is an apocalyptic number.

102323111301200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102323111301200 is an abundant number, since it is smaller than the sum of its proper divisors (143754590857000).

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

102323111301200 is a wasteful number, since it uses less digits than its factorization.

102323111301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54529 (or 54518 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 102323111301200 its reverse (2103111323201), we get a palindrome (104426222624401).

It can be divided in two parts, 10232311 and 1301200, that added together give a palindrome (11533511).

The spelling of 102323111301200 in words is "one hundred two trillion, three hundred twenty-three billion, one hundred eleven million, three hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1409 2818 3673 5636 7045 7346 11272 14090 14692 18365 22544 28180 29384 35225 36730 49429 56360 58768 70450 73460 91825 98858 112720 140900 146920 183650 197716 247145 281800 293840 367300 395432 494290 563600 734600 790864 988580 1235725 1469200 1977160 2471450 3954320 4942900 5175257 9885800 10350514 19771600 20701028 25876285 41402056 51752570 69645461 82804112 103505140 129381425 139290922 181552717 207010280 258762850 278581844 348227305 363105434 414020560 517525700 557163688 696454610 726210868 907763585 1035051400 1114327376 1392909220 1452421736 1741136525 1815527170 2070102800 2785818440 2904843472 3482273050 3631054340 4538817925 5571636880 6964546100 7262108680 9077635850 13929092200 14524217360 18155271700 27858184400 36310543400 72621086800 255807778253 511615556506 1023231113012 1279038891265 2046462226024 2558077782530 4092924452048 5116155565060 6395194456325 10232311130120 12790388912650 20464622260240 25580777825300 51161555650600 102323111301200