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130003929400 = 235210917334471
BaseRepresentation
bin111100100010011010…
…1101000100100111000
3110102120012022212202011
41321010311220210320
54112222001220100
6135420055215304
712251422111222
oct1710465504470
9412505285664
10130003929400
1150152913374
1221242077534
13c34a94c217
146413c0d412
1535ad38cbba
hex1e44d68938

130003929400 has 96 divisors (see below), whose sum is σ = 306804247200. Its totient is φ = 51225177600.

The previous prime is 130003929373. The next prime is 130003929413. The reversal of 130003929400 is 4929300031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3754165 + ... + 3788635.

It is an arithmetic number, because the mean of its divisors is an integer number (3195877575).

Almost surely, 2130003929400 is an apocalyptic number.

130003929400 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 130003929400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153402123600).

130003929400 is an abundant number, since it is smaller than the sum of its proper divisors (176800317800).

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

130003929400 is a wasteful number, since it uses less digits than its factorization.

130003929400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34769 (or 34760 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The spelling of 130003929400 in words is "one hundred thirty billion, three million, nine hundred twenty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 173 200 218 346 436 545 692 865 872 1090 1384 1730 2180 2725 3460 4325 4360 5450 6920 8650 10900 17300 18857 21800 34471 34600 37714 68942 75428 94285 137884 150856 172355 188570 275768 344710 377140 471425 689420 754280 861775 942850 1378840 1723550 1885700 3447100 3757339 3771400 5963483 6894200 7514678 11926966 15029356 18786695 23853932 29817415 30058712 37573390 47707864 59634830 75146780 93933475 119269660 149087075 150293560 187866950 238539320 298174150 375733900 596348300 650019647 751467800 1192696600 1300039294 2600078588 3250098235 5200157176 6500196470 13000392940 16250491175 26000785880 32500982350 65001964700 130003929400