Search a number
-
+
23231132322100 = 2252321417227881
BaseRepresentation
bin1010100100000111010110…
…11000111100100100110100
310001020212121112222021212221
411102003223120330210310
511021104324333301400
6121224122421252124
74615252054424323
oct522035330744464
9101225545867787
1023231132322100
1174472a461a32a
122732423264044
13cc68bcc84771
145a456dbd40ba
152a4465c95c1a
hex1520eb63c934

23231132322100 has 36 divisors (see below), whose sum is σ = 50413132563948. Its totient is φ = 9292162528000.

The previous prime is 23231132322077. The next prime is 23231132322109. The reversal of 23231132322100 is 122323113232.

It can be written as a sum of positive squares in 6 ways, for example, as 5937194996496 + 17293937325604 = 2436636^2 + 4158598^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23231132322109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399841 + ... + 6828040.

It is an arithmetic number, because the mean of its divisors is an integer number (1400364793443).

Almost surely, 223231132322100 is an apocalyptic number.

23231132322100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23231132322100 is an abundant number, since it is smaller than the sum of its proper divisors (27182000241848).

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

23231132322100 is a wasteful number, since it uses less digits than its factorization.

23231132322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7260036 (or 7260029 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 23231132322100 its reverse (122323113232), we get a palindrome (23353455435332).

The spelling of 23231132322100 in words is "twenty-three trillion, two hundred thirty-one billion, one hundred thirty-two million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 32141 64282 128564 160705 321410 642820 803525 1607050 3214100 7227881 14455762 28911524 36139405 72278810 144557620 180697025 361394050 722788100 232311323221 464622646442 929245292884 1161556616105 2323113232210 4646226464420 5807783080525 11615566161050 23231132322100