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13122114840 = 23325197185027
BaseRepresentation
bin11000011100010001…
…11001010100011000
31020212111120111112100
430032020321110120
5203333230133330
610010032243400
7643115064402
oct141610712430
936774514470
1013122114840
11562410110a
1226626a0560
1313117893c3
148c6a75b72
1551c024060
hex30e239518

13122114840 has 96 divisors (see below), whose sum is σ = 42863586480. Its totient is φ = 3481449216.

The previous prime is 13122114839. The next prime is 13122114881. The reversal of 13122114840 is 4841122131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21594 + ... + 163433.

Almost surely, 213122114840 is an apocalyptic number.

13122114840 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 13122114840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21431793240).

13122114840 is an abundant number, since it is smaller than the sum of its proper divisors (29741471640).

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

13122114840 is a wasteful number, since it uses less digits than its factorization.

13122114840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185241 (or 185234 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 13122114840 its reverse (4841122131), we get a palindrome (17963236971).

The spelling of 13122114840 in words is "thirteen billion, one hundred twenty-two million, one hundred fourteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 197 360 394 591 788 985 1182 1576 1773 1970 2364 2955 3546 3940 4728 5910 7092 7880 8865 11820 14184 17730 23640 35460 70920 185027 370054 555081 740108 925135 1110162 1480216 1665243 1850270 2220324 2775405 3330486 3700540 4440648 5550810 6660972 7401080 8326215 11101620 13321944 16652430 22203240 33304860 36450319 66609720 72900638 109350957 145801276 182251595 218701914 291602552 328052871 364503190 437403828 546754785 656105742 729006380 874807656 1093509570 1312211484 1458012760 1640264355 2187019140 2624422968 3280528710 4374038280 6561057420 13122114840