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4200104323220 = 2251337613712237
BaseRepresentation
bin111101000111101001101…
…110011110100010010100
3112212112012111021112222112
4331013221232132202110
51022303303201320340
612533300140050152
7612306333456341
oct75075156364224
915775174245875
104200104323220
11137a288437403
1257a012533958
132460b6913110
141074012197c8
15743c368a065
hex3d1e9b9e894

4200104323220 has 96 divisors (see below), whose sum is σ = 9771346965408. Its totient is φ = 1506430420992.

The previous prime is 4200104323169. The next prime is 4200104323229. The reversal of 4200104323220 is 223234010024.

It can be written as a sum of positive squares in 16 ways, for example, as 3526936584196 + 673167739024 = 1878014^2 + 820468^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200104323229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5540942 + ... + 6253178.

It is an arithmetic number, because the mean of its divisors is an integer number (101784864223).

Almost surely, 24200104323220 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 4200104323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4885673482704).

4200104323220 is an abundant number, since it is smaller than the sum of its proper divisors (5571242642188).

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

4200104323220 is a wasteful number, since it uses less digits than its factorization.

4200104323220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712909 (or 712907 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 4200104323220 its reverse (223234010024), we get a palindrome (4423338333244).

The spelling of 4200104323220 in words is "four trillion, two hundred billion, one hundred four million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 613 740 962 1226 1924 2405 2452 3065 4810 6130 7969 9620 12260 15938 22681 31876 39845 45362 79690 90724 113405 159380 226810 294853 453620 589706 712237 1179412 1424474 1474265 2848948 2948530 3561185 5897060 7122370 9259081 14244740 18518162 26352769 37036324 46295405 52705538 92590810 105411076 131763845 185181620 263527690 342585997 436601281 527055380 685171994 873202562 1370343988 1712929985 1746405124 2183006405 3425859970 4366012810 5675816653 6851719940 8732025620 11351633306 16154247397 22703266612 28379083265 32308494794 56758166530 64616989588 80771236985 113516333060 161542473970 210005216161 323084947940 420010432322 840020864644 1050026080805 2100052161610 4200104323220