Search a number
-
+
23110144431000 = 2335311700307407
BaseRepresentation
bin1010100000100101111111…
…11100110001001110011000
310000211022022200220121120020
411100102333330301032120
511012114033433243000
6121052353115030440
74603436631343044
oct520227774611630
9100738280817506
1023110144431000
1173aaa59061a90
122712a9873b420
13cb837b20c963
1459c7735b3024
152a1234201ba0
hex1504bff31398

23110144431000 has 128 divisors (see below), whose sum is σ = 78658528066560. Its totient is φ = 5602459248000.

The previous prime is 23110144430993. The next prime is 23110144431019. The reversal of 23110144431000 is 13444101132.

It is a super-2 number, since 2×231101444310002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350120704 + ... + 350186703.

It is an arithmetic number, because the mean of its divisors is an integer number (614519750520).

Almost surely, 223110144431000 is an apocalyptic number.

23110144431000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23110144431000 is an abundant number, since it is smaller than the sum of its proper divisors (55548383635560).

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

23110144431000 is a wasteful number, since it uses less digits than its factorization.

23110144431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700307442 (or 700307428 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 23110144431000 its reverse (13444101132), we get a palindrome (23123588532132).

The spelling of 23110144431000 in words is "twenty-three trillion, one hundred ten billion, one hundred forty-four million, four hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 700307407 1400614814 2100922221 2801229628 3501537035 4201844442 5602459256 7003074070 7703381477 8403688884 10504611105 14006148140 15406762954 16807377768 17507685175 21009222210 23110144431 28012296280 30813525908 35015370350 38516907385 42018444420 46220288862 52523055525 61627051816 70030740700 77033814770 84036888840 87538425875 92440577724 105046111050 115550722155 140061481400 154067629540 175076851750 184881155448 192584536925 210092222100 231101444310 262615277625 308135259080 350153703500 385169073850 420184444200 462202888620 525230555250 577753610775 700307407000 770338147700 924405777240 962922684625 1050461110500 1155507221550 1540676295400 1925845369250 2100922221000 2311014443100 2888768053875 3851690738500 4622028886200 5777536107750 7703381477000 11555072215500 23110144431000