Search a number
-
+
23121001300020 = 22351322280177643
BaseRepresentation
bin1010100000111010001110…
…00100011100000000110100
310000212100100100000201000020
411100131013010130000310
511012303302313100040
6121101350311245140
74604302652245311
oct520350704340064
9100770310021006
1023121001300020
11740461a51a408
1227150086797b0
13cb93bb5a1b00
1459d0c3465d08
152a166c41bcd0
hex15074711c034

23121001300020 has 72 divisors (see below), whose sum is σ = 70101781487136. Its totient is φ = 5691323394432.

The previous prime is 23121001299919. The next prime is 23121001300043. The reversal of 23121001300020 is 2000310012132.

It is a super-2 number, since 2×231210013000202 (a number of 28 digits) contains 22 as substring.

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

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, 1140078682 + ... + 1140098961.

It is an arithmetic number, because the mean of its divisors is an integer number (973635853988).

Almost surely, 223121001300020 is an apocalyptic number.

23121001300020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23121001300020 is an abundant number, since it is smaller than the sum of its proper divisors (46980780187116).

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

23121001300020 is a wasteful number, since it uses less digits than its factorization.

23121001300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280177681 (or 2280177666 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 23121001300020 its reverse (2000310012132), we get a palindrome (25121311312152).

The spelling of 23121001300020 in words is "twenty-three trillion, one hundred twenty-one billion, one million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2535 3380 5070 10140 2280177643 4560355286 6840532929 9120710572 11400888215 13681065858 22801776430 27362131716 29642309359 34202664645 45603552860 59284618718 68405329290 88926928077 118569237436 136810658580 148211546795 177853856154 296423093590 355707712308 385350021667 444634640385 592846187180 770700043334 889269280770 1156050065001 1541400086668 1778538561540 1926750108335 2312100130002 3853500216670 4624200260004 5780250325005 7707000433340 11560500650010 23121001300020