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23132122222000 = 2453119771076213
BaseRepresentation
bin1010100001001110111011…
…11011011000110110110000
310000220102001101000002000111
411100213131323120312300
511012444041242101000
6121110430015231104
74605145360442341
oct520473573306660
9100812041002014
1023132122222000
117409306a39720
1227171b0b18494
13cba471586c0c
1459d85a4120c8
152a1abd8e4cba
hex1509dded8db0

23132122222000 has 160 divisors (see below), whose sum is σ = 61080844129344. Its totient is φ = 8403063296000.

The previous prime is 23132122221997. The next prime is 23132122222003. The reversal of 23132122222000 is 22222123132.

It is an interprime number because it is at equal distance from previous prime (23132122221997) and next prime (23132122222003).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (23132122222003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20955894 + ... + 22032106.

Almost surely, 223132122222000 is an apocalyptic number.

23132122222000 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 23132122222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30540422064672).

23132122222000 is an abundant number, since it is smaller than the sum of its proper divisors (37948721907344).

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

23132122222000 is a wasteful number, since it uses less digits than its factorization.

23132122222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077224 (or 1077208 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 23132122222000 its reverse (22222123132), we get a palindrome (23154344345132).

The spelling of 23132122222000 in words is "twenty-three trillion, one hundred thirty-two billion, one hundred twenty-two million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 977 1000 1100 1375 1954 2000 2200 2750 3908 4400 4885 5500 7816 9770 10747 11000 15632 19540 21494 22000 24425 39080 42988 48850 53735 78160 85976 97700 107470 122125 171952 195400 214940 244250 268675 390800 429880 488500 537350 859760 977000 1074700 1076213 1343375 1954000 2149400 2152426 2686750 4298800 4304852 5373500 5381065 8609704 10747000 10762130 11838343 17219408 21494000 21524260 23676686 26905325 43048520 47353372 53810650 59191715 86097040 94706744 107621300 118383430 134526625 189413488 215242600 236766860 269053250 295958575 430485200 473533720 538106500 591917150 947067440 1051460101 1076213000 1183834300 1479792875 2102920202 2152426000 2367668600 2959585750 4205840404 4735337200 5257300505 5919171500 8411680808 10514601010 11566061111 11838343000 16823361616 21029202020 23132122222 23676686000 26286502525 42058404040 46264244444 52573005050 57830305555 84116808080 92528488888 105146010100 115660611110 131432512625 185056977776 210292020200 231321222220 262865025250 289151527775 420584040400 462642444440 525730050500 578303055550 925284888880 1051460101000 1156606111100 1445757638875 2102920202000 2313212222200 2891515277750 4626424444400 5783030555500 11566061111000 23132122222000