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120013003121310 = 233513191799565199
BaseRepresentation
bin11011010010011010110100…
…011010110110001010011110
3120201221010112112110001001000
4123102122310122312022132
5111212243112244340220
61103125113522531130
734164440044661625
oct3322326432661236
9521833475401030
10120013003121310
1135270257590762
12115633a7b06aa6
1351c72403522b0
14218c935dac6bc
15dd1c30ec2390
hex6d26b46b629e

120013003121310 has 128 divisors (see below), whose sum is σ = 362792344320000. Its totient is φ = 27986837959296.

The previous prime is 120013003121273. The next prime is 120013003121339. The reversal of 120013003121310 is 13121300310021.

120013003121310 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 1 + 300 + 31 + 21 + 310 = 666.

It is a super-2 number, since 2×1200130031213102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 899715910 + ... + 899849289.

It is an arithmetic number, because the mean of its divisors is an integer number (2834315190000).

Almost surely, 2120013003121310 is an apocalyptic number.

120013003121310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120013003121310 is an abundant number, since it is smaller than the sum of its proper divisors (242779341198690).

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

120013003121310 is a wasteful number, since it uses less digits than its factorization.

120013003121310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799565247 (or 1799565241 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 120013003121310 its reverse (13121300310021), we get a palindrome (133134303431331).

The spelling of 120013003121310 in words is "one hundred twenty trillion, thirteen billion, three million, one hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 27 30 38 39 45 54 57 65 78 90 95 114 117 130 135 171 190 195 234 247 270 285 342 351 390 494 513 570 585 702 741 855 1026 1170 1235 1482 1710 1755 2223 2470 2565 3510 3705 4446 5130 6669 7410 11115 13338 22230 33345 66690 1799565199 3599130398 5398695597 8997825995 10797391194 16196086791 17995651990 23394347587 26993477985 32392173582 34191738781 46788695174 48588260373 53986955970 68383477562 70183042761 80980433955 97176520746 102575216343 116971737935 140366085522 161960867910 170958693905 205150432686 210549128283 233943475870 242941301865 307725649029 341917387810 350915213805 421098256566 444492604153 485882603730 512876081715 615451298058 631647384849 701830427610 888985208306 923176947087 1025752163430 1052745641415 1263294769698 1333477812459 1538628245145 1846353894174 2105491282830 2222463020765 2666955624918 3077256490290 3158236924245 4000433437377 4444926041530 4615884735435 6316473848490 6667389062295 8000866874754 9231769470870 12001300312131 13334778124590 20002167186885 24002600624262 40004334373770 60006501560655 120013003121310