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130807208350 = 25271322698221
BaseRepresentation
bin111100111010010110…
…1111001100110011110
3110111122011211200022101
41321310231321212132
54120343121131400
6140031512235314
712310344632320
oct1716455714636
9414564750271
10130807208350
1150525293775
122142709bb3a
13c4481ac700
14648c78d610
153608b6156a
hex1e74b7999e

130807208350 has 144 divisors (see below), whose sum is σ = 302249270880. Its totient is φ = 41239411200.

The previous prime is 130807208341. The next prime is 130807208351. The reversal of 130807208350 is 53802708031.

It is a super-2 number, since 2×1308072083502 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130807208351) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 15907240 + ... + 15915460.

It is an arithmetic number, because the mean of its divisors is an integer number (2098953270).

Almost surely, 2130807208350 is an apocalyptic number.

130807208350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130807208350 is an abundant number, since it is smaller than the sum of its proper divisors (171442062530).

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

130807208350 is a wasteful number, since it uses less digits than its factorization.

130807208350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8535 (or 8517 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 130807208350 in words is "one hundred thirty billion, eight hundred seven million, two hundred eight thousand, three hundred fifty".

Divisors: 1 2 5 7 10 13 14 25 26 35 50 65 70 91 130 169 175 182 269 325 338 350 455 538 650 845 910 1183 1345 1690 1883 2275 2366 2690 3497 3766 4225 4550 5915 6725 6994 8221 8450 9415 11830 13450 16442 17485 18830 24479 29575 34970 41105 45461 47075 48958 57547 59150 82210 87425 90922 94150 106873 115094 122395 174850 205525 213746 227305 244790 287735 318227 411050 454610 534365 575470 611975 636454 748111 1068730 1136525 1223950 1389349 1438675 1496222 1591135 2211449 2273050 2671825 2778698 2877350 3182270 3740555 4422898 5343650 6946745 7481110 7955675 9725443 11057245 13893490 15480143 15911350 18702775 19450886 22114490 28748837 30960286 34733725 37405550 48627215 55286225 57497674 69467450 77400715 97254430 110572450 143744185 154801430 201241859 243136075 287488370 373734881 387003575 402483718 486272150 718720925 747469762 774007150 1006209295 1437441850 1868674405 2012418590 2616144167 3737348810 5031046475 5232288334 9343372025 10062092950 13080720835 18686744050 26161441670 65403604175 130807208350