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1303032000120 = 2335107123782039
BaseRepresentation
bin10010111101100010110…
…000100110111001111000
311121120100112121000110220
4102331202300212321320
5132322102143000440
62434334333540040
7163066230153024
oct22754260467170
94546315530426
101303032000120
11462681659814
12190652944620
1395b4c304156
14470d2121384
1523d651da8d0
hex12f62c26e78

1303032000120 has 128 divisors (see below), whose sum is σ = 3948867417600. Its totient is φ = 343945299456.

The previous prime is 1303032000019. The next prime is 1303032000169. The reversal of 1303032000120 is 210002303031.

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 1303032000120.

It is a congruent number.

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, 15842061 + ... + 15924099.

It is an arithmetic number, because the mean of its divisors is an integer number (30850526700).

Almost surely, 21303032000120 is an apocalyptic number.

1303032000120 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 1303032000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974433708800).

1303032000120 is an abundant number, since it is smaller than the sum of its proper divisors (2645835417480).

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

1303032000120 is a wasteful number, since it uses less digits than its factorization.

1303032000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83397 (or 83393 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 1303032000120 its reverse (210002303031), we get a palindrome (1513034303151).

The spelling of 1303032000120 in words is "one trillion, three hundred three billion, thirty-two million, one hundred twenty", and thus it is an aban number.

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 1237 1284 1605 2140 2474 2568 3210 3711 4280 4948 6185 6420 7422 9896 12370 12840 14844 18555 24740 29688 37110 49480 74220 82039 132359 148440 164078 246117 264718 328156 397077 410195 492234 529436 656312 661795 794154 820390 984468 1058872 1230585 1323590 1588308 1640780 1968936 1985385 2461170 2647180 3176616 3281560 3970770 4922340 5294360 7941540 8778173 9844680 15883080 17556346 26334519 35112692 43890865 52669038 70225384 87781730 101482243 105338076 131672595 175563460 202964486 210676152 263345190 304446729 351126920 405928972 507411215 526690380 608893458 811857944 1014822430 1053380760 1217786916 1522233645 2029644860 2435573832 3044467290 4059289720 6088934580 10858600001 12177869160 21717200002 32575800003 43434400004 54293000005 65151600006 86868800008 108586000010 130303200012 162879000015 217172000020 260606400024 325758000030 434344000040 651516000060 1303032000120