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20002304124 = 223211419120551
BaseRepresentation
bin10010101000001110…
…101111000001111100
31220121222212022220200
4102220032233001330
5311431042212444
613104450443500
71305450531315
oct225016570174
956558768820
1020002304124
118534863160
123a62893590
131b6a00361a
14d7a72560c
157c1073969
hex4a83af07c

20002304124 has 72 divisors (see below), whose sum is σ = 55289969280. Its totient is φ = 6046788000.

The previous prime is 20002304107. The next prime is 20002304149. The reversal of 20002304124 is 42140320002.

20002304124 is a `hidden beast` number, since 20 + 0 + 0 + 230 + 412 + 4 = 666.

It is a super-4 number, since 4×200023041244 (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20002304097 and 20002304106.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 105649 + ... + 226199.

It is an arithmetic number, because the mean of its divisors is an integer number (767916240).

Almost surely, 220002304124 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 20002304124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27644984640).

20002304124 is an abundant number, since it is smaller than the sum of its proper divisors (35287665156).

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

20002304124 is a wasteful number, since it uses less digits than its factorization.

20002304124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120991 (or 120986 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20002304124 its reverse (42140320002), we get a palindrome (62142624126).

The spelling of 20002304124 in words is "twenty billion, two million, three hundred four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 419 838 1257 1676 2514 3771 4609 5028 7542 9218 13827 15084 18436 27654 41481 55308 82962 120551 165924 241102 361653 482204 723306 1084959 1326061 1446612 2169918 2652122 3978183 4339836 5304244 7956366 11934549 15912732 23869098 47738196 50510869 101021738 151532607 202043476 303065214 454597821 555619559 606130428 909195642 1111239118 1666858677 1818391284 2222478236 3333717354 5000576031 6667434708 10001152062 20002304124