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20000131431120 = 2433571912878053
BaseRepresentation
bin1001000110000101001001…
…01110101011101011010000
32121210222211112202220021000
410203002210232223223100
510110140232121243440
6110311533351102000
74132650621122661
oct443024456535320
977728745686230
1020000131431120
11641100a8771a5
1222b01ab671900
13b210095b0a29
144d20238b1368
1524a3b1698730
hex1230a4babad0

20000131431120 has 160 divisors (see below), whose sum is σ = 68985159667200. Its totient is φ = 5325950209536.

The previous prime is 20000131431089. The next prime is 20000131431149. The reversal of 20000131431120 is 2113413100002.

20000131431120 is a `hidden beast` number, since 20 + 0 + 0 + 0 + 1 + 314 + 311 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20000131431093 and 20000131431102.

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, 4885987 + ... + 7992066.

It is an arithmetic number, because the mean of its divisors is an integer number (431157247920).

Almost surely, 220000131431120 is an apocalyptic number.

20000131431120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20000131431120 is an abundant number, since it is smaller than the sum of its proper divisors (48985028236080).

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

20000131431120 is a wasteful number, since it uses less digits than its factorization.

20000131431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12878794 (or 12878782 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20000131431120 its reverse (2113413100002), we get a palindrome (22113544531122).

The spelling of 20000131431120 in words is "twenty trillion, one hundred thirty-one million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 719 720 1080 1438 2157 2160 2876 3595 4314 5752 6471 7190 8628 10785 11504 12942 14380 17256 19413 21570 25884 28760 32355 34512 38826 43140 51768 57520 64710 77652 86280 97065 103536 129420 155304 172560 194130 258840 310608 388260 517680 776520 1553040 12878053 25756106 38634159 51512212 64390265 77268318 103024424 115902477 128780530 154536636 193170795 206048848 231804954 257561060 309073272 347707431 386341590 463609908 515122120 579512385 618146544 695414862 772683180 927219816 1030244240 1159024770 1390829724 1545366360 1738537155 1854439632 2318049540 2781659448 3090732720 3477074310 4636099080 5563318896 6954148620 9259320107 9272198160 13908297240 18518640214 27777960321 27816594480 37037280428 46296600535 55555920642 74074560856 83333880963 92593201070 111111841284 138889801605 148149121712 166667761926 185186402140 222223682568 250001642889 277779603210 333335523852 370372804280 416669404815 444447365136 500003285778 555559206420 666671047704 740745608560 833338809630 1000006571556 1111118412840 1250008214445 1333342095408 1666677619260 2000013143112 2222236825680 2500016428890 3333355238520 4000026286224 5000032857780 6666710477040 10000065715560 20000131431120