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13322340143220 = 22352367144087607
BaseRepresentation
bin1100000111011101100101…
…0110100001000001110100
31202011121021210100102021110
43001313121112201001310
53221233123034040340
644200110520315020
72543336002534653
oct301673126410164
952147253312243
1013322340143220
114276a77775279
1215b1b60912a70
137583a2c50884
14340b3a16b19a
15181828262680
hexc1dd95a1074

13322340143220 has 96 divisors (see below), whose sum is σ = 39505364011008. Its totient is φ = 3347443262592.

The previous prime is 13322340143117. The next prime is 13322340143221. The reversal of 13322340143220 is 2234104322331.

It is a happy number.

It is a super-2 number, since 2×133223401432202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13322340143221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71951344 + ... + 72136263.

It is an arithmetic number, because the mean of its divisors is an integer number (411514208448).

Almost surely, 213322340143220 is an apocalyptic number.

13322340143220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13322340143220 is an abundant number, since it is smaller than the sum of its proper divisors (26183023867788).

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

13322340143220 is a wasteful number, since it uses less digits than its factorization.

13322340143220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144087709 (or 144087707 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 13322340143220 its reverse (2234104322331), we get a palindrome (15556444465551).

The spelling of 13322340143220 in words is "thirteen trillion, three hundred twenty-two billion, three hundred forty million, one hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 67 69 92 115 134 138 201 230 268 276 335 345 402 460 670 690 804 1005 1340 1380 1541 2010 3082 4020 4623 6164 7705 9246 15410 18492 23115 30820 46230 92460 144087607 288175214 432262821 576350428 720438035 864525642 1440876070 1729051284 2161314105 2881752140 3314014961 4322628210 6628029922 8645256420 9653869669 9942044883 13256059844 16570074805 19307739338 19884089766 28961609007 33140149610 38615478676 39768179532 48269348345 49710224415 57923218014 66280299220 96538696690 99420448830 115846436028 144808045035 193077393380 198840897660 222039002387 289616090070 444078004774 579232180140 666117007161 888156009548 1110195011935 1332234014322 2220390023870 2664468028644 3330585035805 4440780047740 6661170071610 13322340143220