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23201203020 = 22359713130431
BaseRepresentation
bin10101100110111001…
…100100001101001100
32012212221011020020120
4111212321210031030
5340004001444040
614354122144540
71450642654212
oct254671441514
965787136216
1023201203020
119926524256
1245b6052150
132259977bc8
1411a1504cb2
1590bd057d0
hex566e6434c

23201203020 has 96 divisors (see below), whose sum is σ = 66136283136. Its totient is φ = 6076262400.

The previous prime is 23201203019. The next prime is 23201203021. The reversal of 23201203020 is 2030210232.

It is an interprime number because it is at equal distance from previous prime (23201203019) and next prime (23201203021).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (23201203021) by changing a digit.

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, 747205 + ... + 777635.

It is an arithmetic number, because the mean of its divisors is an integer number (688919616).

Almost surely, 223201203020 is an apocalyptic number.

23201203020 is a gapful number since it is divisible by the number (20) 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 23201203020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33068141568).

23201203020 is an abundant number, since it is smaller than the sum of its proper divisors (42935080116).

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

23201203020 is a wasteful number, since it uses less digits than its factorization.

23201203020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30671 (or 30669 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 23201203020 its reverse (2030210232), we get a palindrome (25231413252).

The spelling of 23201203020 in words is "twenty-three billion, two hundred one million, two hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 131 194 262 291 388 393 485 524 582 655 786 970 1164 1310 1455 1572 1940 1965 2620 2910 3930 5820 7860 12707 25414 30431 38121 50828 60862 63535 76242 91293 121724 127070 152155 152484 182586 190605 254140 304310 365172 381210 456465 608620 762420 912930 1825860 2951807 3986461 5903614 7972922 8855421 11807228 11959383 14759035 15945844 17710842 19932305 23918766 29518070 35421684 39864610 44277105 47837532 59036140 59796915 79729220 88554210 119593830 177108420 239187660 386686717 773373434 1160060151 1546746868 1933433585 2320120302 3866867170 4640240604 5800300755 7733734340 11600601510 23201203020