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131000320232320 = 2757112658285719
BaseRepresentation
bin11101110010010011100011…
…100011011000101110000000
3122011211111201120000012102011
4131302103203203120232000
5114132302123434413240
61142340414420102304
736410314025324440
oct3562234343305600
9564744646005364
10131000320232320
1138816a18666430
12128388a6234994
13581337acb38b6
14244c640d64120
151022943eb86ea
hex7724e38d8b80

131000320232320 has 128 divisors (see below), whose sum is σ = 390449006553600. Its totient is φ = 40831268628480.

The previous prime is 131000320232317. The next prime is 131000320232321. The reversal of 131000320232320 is 23232023000131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1310003202323202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 131000320232291 and 131000320232300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131000320232321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1329093580 + ... + 1329192139.

It is an arithmetic number, because the mean of its divisors is an integer number (3050382863700).

Almost surely, 2131000320232320 is an apocalyptic number.

131000320232320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131000320232320 is an abundant number, since it is smaller than the sum of its proper divisors (259448686321280).

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

131000320232320 is a wasteful number, since it uses less digits than its factorization.

131000320232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658285756 (or 2658285744 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 131000320232320 its reverse (23232023000131), we get a palindrome (154232343232451).

The spelling of 131000320232320 in words is "one hundred thirty-one trillion, three hundred twenty million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 640 704 770 880 896 1120 1232 1408 1540 1760 2240 2464 3080 3520 4480 4928 6160 7040 9856 12320 24640 49280 2658285719 5316571438 10633142876 13291428595 18608000033 21266285752 26582857190 29241142909 37216000066 42532571504 53165714380 58482285818 74432000132 85065143008 93040000165 106331428760 116964571636 146205714545 148864000264 170130286016 186080000330 204688000363 212662857520 233929143272 292411429090 297728000528 340260572032 372160000660 409376000726 425325715040 467858286544 584822858180 595456001056 744320001320 818752001452 850651430080 935716573088 1023440001815 1169645716360 1190912002112 1488640002640 1637504002904 1701302860160 1871433146176 2046880003630 2339291432720 2381824004224 2977280005280 3275008005808 3742866292352 4093760007260 4678582865440 5954560010560 6550016011616 8187520014520 9357165730880 11909120021120 13100032023232 16375040029040 18714331461760 26200064046464 32750080058080 65500160116160 131000320232320