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12213310002114 = 2313716619333187
BaseRepresentation
bin1011000110111010001000…
…0000010001001111000010
31121020120200120110221201010
42301232202000101033002
53100100324330031424
641550414523421350
72400245131062264
oct261564200211702
947216616427633
1012213310002114
1139896aa106651
121453030984856
136a79303a1050
143031ad683b34
15162a69b2e229
hexb1ba20113c2

12213310002114 has 64 divisors (see below), whose sum is σ = 26680202357760. Its totient is φ = 3704441912640.

The previous prime is 12213310002083. The next prime is 12213310002137. The reversal of 12213310002114 is 41120001331221.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 36489429 + ... + 36822615.

It is an arithmetic number, because the mean of its divisors is an integer number (416878161840).

Almost surely, 212213310002114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12213310002114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13340101178880).

12213310002114 is an abundant number, since it is smaller than the sum of its proper divisors (14466892355646).

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

12213310002114 is a wasteful number, since it uses less digits than its factorization.

12213310002114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339895.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12213310002114 its reverse (41120001331221), we get a palindrome (53333311333335).

The spelling of 12213310002114 in words is "twelve trillion, two hundred thirteen billion, three hundred ten million, two thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 26 39 71 78 142 213 426 923 1846 2769 5538 6619 13238 19857 39714 86047 172094 258141 333187 469949 516282 666374 939898 999561 1409847 1999122 2819694 4331431 6109337 8662862 12218674 12994293 18328011 23656277 25988586 36656022 47312554 70968831 141937662 307531601 615063202 922594803 1845189606 2205364753 4410729506 6616094259 13232188518 28669741789 57339483578 86009225367 156580897463 172018450734 313161794926 469742692389 939485384778 2035551667019 4071103334038 6106655001057 12213310002114