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131520011520 = 2835322910607
BaseRepresentation
bin111101001111100110…
…1000001110100000000
3110120110212002211102210
41322133031001310000
54123323110332040
6140230334142120
712334121436552
oct1723715016400
9416425084383
10131520011520
11508606882a7
12215a5951940
13c52ca82531
1465192db4d2
15364b512480
hex1e9f341d00

131520011520 has 144 divisors (see below), whose sum is σ = 420211733760. Its totient is φ = 35057836032.

The previous prime is 131520011507. The next prime is 131520011521. The reversal of 131520011520 is 25110025131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131520011521) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12394057 + ... + 12404663.

It is an arithmetic number, because the mean of its divisors is an integer number (2918137040).

Almost surely, 2131520011520 is an apocalyptic number.

131520011520 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 131520011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210105866880).

131520011520 is an abundant number, since it is smaller than the sum of its proper divisors (288691722240).

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

131520011520 is a wasteful number, since it uses less digits than its factorization.

131520011520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13860 (or 13846 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

Adding to 131520011520 its reverse (25110025131), we get a palindrome (156630036651).

The spelling of 131520011520 in words is "one hundred thirty-one billion, five hundred twenty million, eleven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3229 3840 6458 9687 10607 12916 16145 19374 21214 25832 31821 32290 38748 42428 48435 51664 53035 63642 64580 77496 84856 96870 103328 106070 127284 129160 154992 159105 169712 193740 206656 212140 254568 258320 309984 318210 339424 387480 413312 424280 509136 516640 619968 636420 678848 774960 826624 848560 1018272 1033280 1239936 1272840 1357696 1549920 1697120 2036544 2066560 2479872 2545680 2715392 3099840 3394240 4073088 4133120 5091360 6199680 6788480 8146176 10182720 12399360 13576960 20365440 34250003 40730880 68500006 102750009 137000012 171250015 205500018 274000024 342500030 411000036 513750045 548000048 685000060 822000072 1027500090 1096000096 1370000120 1644000144 2055000180 2192000192 2740000240 3288000288 4110000360 4384000384 5480000480 6576000576 8220000720 8768000768 10960000960 13152001152 16440001440 21920001920 26304002304 32880002880 43840003840 65760005760 131520011520