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102132300013320 = 233510739451201623
BaseRepresentation
bin10111001110001110000111…
…011101100101111100001000
3111101121202022120222102000010
4113032032013131211330020
5101341313422300411240
61001114533024111520
730340546414203003
oct2716160735457410
9441552276872003
10102132300013320
112a5a7079857145
12b555b107655a0
1344cb05ac30065
141b3133040053a
15bc1a674d6280
hex5ce387765f08

102132300013320 has 128 divisors (see below), whose sum is σ = 309269795466240. Its totient is φ = 26979926956800.

The previous prime is 102132300013273. The next prime is 102132300013361. The reversal of 102132300013320 is 23310003231201.

102132300013320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506450029 + ... + 506651651.

It is an arithmetic number, because the mean of its divisors is an integer number (2416170277080).

Almost surely, 2102132300013320 is an apocalyptic number.

102132300013320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102132300013320 is an abundant number, since it is smaller than the sum of its proper divisors (207137495452920).

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

102132300013320 is a wasteful number, since it uses less digits than its factorization.

102132300013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241195 (or 241191 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 102132300013320 its reverse (23310003231201), we get a palindrome (125442303244521).

The spelling of 102132300013320 in words is "one hundred two trillion, one hundred thirty-two billion, three hundred million, thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 2140 2568 3210 4280 6420 12840 39451 78902 118353 157804 197255 201623 236706 315608 394510 403246 473412 591765 604869 789020 806492 946824 1008115 1183530 1209738 1578040 1612984 2016230 2367060 2419476 3024345 4032460 4221257 4734120 4838952 6048690 8064920 8442514 12097380 12663771 16885028 21106285 21573661 24194760 25327542 33770056 42212570 43147322 50655084 63318855 64720983 84425140 86294644 101310168 107868305 126637710 129441966 168850280 172589288 215736610 253275420 258883932 323604915 431473220 506550840 517767864 647209830 862946440 1294419660 2588839320 7954228973 15908457946 23862686919 31816915892 39771144865 47725373838 63633831784 79542289730 95450747676 119313434595 159084579460 190901495352 238626869190 318169158920 477253738380 851102500111 954507476760 1702205000222 2553307500333 3404410000444 4255512500555 5106615000666 6808820000888 8511025001110 10213230001332 12766537501665 17022050002220 20426460002664 25533075003330 34044100004440 51066150006660 102132300013320