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131330030320 = 24513719336199
BaseRepresentation
bin111101001001111100…
…0010011101011110000
3110112222121121210020001
41322103320103223300
54122430441432240
6140155430155344
712326323560526
oct1722370235360
9415877553201
10131330030320
1150773418645
12215521b2b54
13c4cc5c5518
1464dbda6316
1536399d689a
hex1e93e13af0

131330030320 has 80 divisors (see below), whose sum is σ = 307779854400. Its totient is φ = 52113180672.

The previous prime is 131330030269. The next prime is 131330030357. The reversal of 131330030320 is 23030033131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21182581 + ... + 21188779.

It is an arithmetic number, because the mean of its divisors is an integer number (3847248180).

Almost surely, 2131330030320 is an apocalyptic number.

131330030320 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 131330030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153889927200).

131330030320 is an abundant number, since it is smaller than the sum of its proper divisors (176449824080).

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

131330030320 is a wasteful number, since it uses less digits than its factorization.

131330030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8282 (or 8276 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 131330030320 its reverse (23030033131), we get a palindrome (154360063451).

The spelling of 131330030320 in words is "one hundred thirty-one billion, three hundred thirty million, thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 1933 2192 2740 3866 5480 6199 7732 9665 10960 12398 15464 19330 24796 30928 30995 38660 49592 61990 77320 99184 123980 154640 247960 264821 495920 529642 849263 1059284 1324105 1698526 2118568 2648210 3397052 4237136 4246315 5296420 6794104 8492630 10592840 11982667 13588208 16985260 21185680 23965334 33970520 47930668 59913335 67941040 95861336 119826670 191722672 239653340 479306680 958613360 1641625379 3283250758 6566501516 8208126895 13133003032 16416253790 26266006064 32832507580 65665015160 131330030320