Search a number
-
+
23031001400 = 23521161171617
BaseRepresentation
bin10101011100110000…
…010011000100111000
32012110001220002111212
4111130300103010320
5334131414021100
614325202142252
71443505165451
oct253460230470
965401802455
1023031001400
119849444260
124569051988
132230624ba4
141186a7c128
158ebdd5635
hex55cc13138

23031001400 has 96 divisors (see below), whose sum is σ = 59372963280. Its totient is φ = 8237568000.

The previous prime is 23031001393. The next prime is 23031001403. The reversal of 23031001400 is 410013032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23031001403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48392 + ... + 220008.

Almost surely, 223031001400 is an apocalyptic number.

23031001400 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 23031001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29686481640).

23031001400 is an abundant number, since it is smaller than the sum of its proper divisors (36341961880).

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

23031001400 is a wasteful number, since it uses less digits than its factorization.

23031001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171705 (or 171696 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 23031001400 its reverse (410013032), we get a palindrome (23441014432).

The spelling of 23031001400 in words is "twenty-three billion, thirty-one million, one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 61 88 100 110 122 200 220 244 275 305 440 488 550 610 671 1100 1220 1342 1525 2200 2440 2684 3050 3355 5368 6100 6710 12200 13420 16775 26840 33550 67100 134200 171617 343234 686468 858085 1372936 1716170 1887787 3432340 3775574 4290425 6864680 7551148 8580850 9438935 10468637 15102296 17161700 18877870 20937274 34323400 37755740 41874548 47194675 52343185 75511480 83749096 94389350 104686370 115155007 188778700 209372740 230310014 261715925 377557400 418745480 460620028 523431850 575775035 921240056 1046863700 1151550070 2093727400 2303100140 2878875175 4606200280 5757750350 11515500700 23031001400