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4212024422100 = 223521119101665123
BaseRepresentation
bin111101010010110000001…
…110000010111011010100
3112220122222020001022121020
4331102300032002323110
51023002211223001400
612542551033121140
7613210614601245
oct75226016027324
915818866038536
104212024422100
111384344a850a0
1258039a5591b0
13247266350571
14107c12398ccc
157486edc62a0
hex3d4b0382ed4

4212024422100 has 288 divisors, whose sum is σ = 14132980431360. Its totient is φ = 957775680000.

The previous prime is 4212024422093. The next prime is 4212024422113. The reversal of 4212024422100 is 12244202124.

It is a happy number.

It is a super-2 number, since 2×42120244221002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6000139 + ... + 6665261.

It is an arithmetic number, because the mean of its divisors is an integer number (49072848720).

Almost surely, 24212024422100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4212024422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7066490215680).

4212024422100 is an abundant number, since it is smaller than the sum of its proper divisors (9920956009260).

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

4212024422100 is a wasteful number, since it uses less digits than its factorization.

4212024422100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665271 (or 665264 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4212024422100 its reverse (12244202124), we get a palindrome (4224268624224).

The spelling of 4212024422100 in words is "four trillion, two hundred twelve billion, twenty-four million, four hundred twenty-two thousand, one hundred".