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23311131000 = 2335317835507
BaseRepresentation
bin10101101101011100…
…111010000101111000
32020011121000011002020
4111231130322011320
5340220122143000
614413050234440
71453446226023
oct255534720570
966147004066
1023311131000
119982586823
124626a25a20
132276686551
1411b1d5c1ba
159167bbba0
hex56d73a178

23311131000 has 256 divisors, whose sum is σ = 77950978560. Its totient is φ = 5779097600.

The previous prime is 23311130981. The next prime is 23311131023. The reversal of 23311131000 is 13111332.

It is a super-2 number, since 2×233111310002 (a number of 22 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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4230247 + ... + 4235753.

It is an arithmetic number, because the mean of its divisors is an integer number (304496010).

Almost surely, 223311131000 is an apocalyptic number.

23311131000 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 23311131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38975489280).

23311131000 is an abundant number, since it is smaller than the sum of its proper divisors (54639847560).

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

23311131000 is a wasteful number, since it uses less digits than its factorization.

23311131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5631 (or 5617 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 23311131000 its reverse (13111332), we get a palindrome (23324242332).

The spelling of 23311131000 in words is "twenty-three billion, three hundred eleven million, one hundred thirty-one thousand".