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131065290320 = 24517971277823
BaseRepresentation
bin111101000010000011…
…0011001111001010000
3110112022011110121012212
41322010012121321100
54121410203242240
6140113252011252
712316630405016
oct1720406317120
9415264417185
10131065290320
1150647a37558
1221499600b28
13c4897c1933
1464b4b708b6
153621640165
hex1e84199e50

131065290320 has 160 divisors (see below), whose sum is σ = 328586969088. Its totient is φ = 48442834944.

The previous prime is 131065290299. The next prime is 131065290379. The reversal of 131065290320 is 23092560131.

It is a super-2 number, since 2×1310652903202 (a number of 23 digits) contains 22 as substring.

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, 16749929 + ... + 16757751.

Almost surely, 2131065290320 is an apocalyptic number.

131065290320 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 131065290320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164293484544).

131065290320 is an abundant number, since it is smaller than the sum of its proper divisors (197521678768).

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

131065290320 is a wasteful number, since it uses less digits than its factorization.

131065290320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8077 (or 8071 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The spelling of 131065290320 in words is "one hundred thirty-one billion, sixty-five million, two hundred ninety thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 97 127 136 170 194 254 272 340 388 485 508 635 680 776 970 1016 1270 1360 1552 1649 1940 2032 2159 2540 3298 3880 4318 5080 6596 7760 7823 8245 8636 10160 10795 12319 13192 15646 16490 17272 21590 24638 26384 31292 32980 34544 39115 43180 49276 61595 62584 65960 78230 86360 98552 123190 125168 131920 132991 156460 172720 197104 209423 246380 265982 312920 418846 492760 531964 625840 664955 758831 837692 985520 993521 1047115 1063928 1329910 1517662 1675384 1987042 2094230 2127856 2659820 3035324 3350768 3794155 3974084 4188460 4967605 5319640 6070648 7588310 7948168 8376920 9935210 10639280 12141296 12900127 15176620 15896336 16753840 16889857 19870420 25800254 30353240 33779714 39740840 51600508 60706480 64500635 67559428 79481680 84449285 96371537 103201016 129001270 135118856 168898570 192743074 206402032 258002540 270237712 337797140 385486148 481857685 516005080 675594280 770972296 963715370 1032010160 1351188560 1541944592 1638316129 1927430740 3276632258 3854861480 6553264516 7709722960 8191580645 13106529032 16383161290 26213058064 32766322580 65532645160 131065290320