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22211320301412 = 223111576317012423
BaseRepresentation
bin1010000110011011110011…
…10110110100011101100100
32220122101022002201221021220
411003031321312310131210
510402402240444121122
6115123423434340340
74451500136322114
oct503157166643544
986571262657256
1022211320301412
11709384a298020
1225a885228a6b0
13c5169824a078
1456b068439044
15287b7a04625c
hex143379db4764

22211320301412 has 192 divisors, whose sum is σ = 57093040263168. Its totient is φ = 6664956480000.

The previous prime is 22211320301407. The next prime is 22211320301419. The reversal of 22211320301412 is 21410302311222.

It is not an unprimeable number, because it can be changed into a prime (22211320301419) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9166866433 + ... + 9166868855.

It is an arithmetic number, because the mean of its divisors is an integer number (297359584704).

Almost surely, 222211320301412 is an apocalyptic number.

22211320301412 is a gapful number since it is divisible by the number (22) 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 22211320301412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28546520131584).

22211320301412 is an abundant number, since it is smaller than the sum of its proper divisors (34881719961756).

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

22211320301412 is a wasteful number, since it uses less digits than its factorization.

22211320301412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3930 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 22211320301412 its reverse (21410302311222), we get a palindrome (43621622612634).

The spelling of 22211320301412 in words is "twenty-two trillion, two hundred eleven billion, three hundred twenty million, three hundred one thousand, four hundred twelve".