Search a number
-
+
1000232022300 = 2235273712872999
BaseRepresentation
bin11101000111000100111…
…10010111000100011100
310112121202220000101020120
432203202132113010130
5112341433344203200
62043300015314540
7132156452623620
oct16434236270434
93477686011216
101000232022300
1135621799a765
12141a2781ba50
1373424385444
14365a91a3180
151b041ce89a0
hexe8e279711c

1000232022300 has 144 divisors (see below), whose sum is σ = 3396824256000. Its totient is φ = 222445405440.

The previous prime is 1000232022253. The next prime is 1000232022323. The reversal of 1000232022300 is 32202320001.

1000232022300 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1000232022300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6358800 + ... + 6514199.

Almost surely, 21000232022300 is an apocalyptic number.

1000232022300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000232022300 is an abundant number, since it is smaller than the sum of its proper divisors (2396592233700).

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

1000232022300 is a wasteful number, since it uses less digits than its factorization.

1000232022300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12873060 (or 12873053 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 1000232022300 its reverse (32202320001), we get a palindrome (1032434342301).

The spelling of 1000232022300 in words is "one trillion, two hundred thirty-two million, twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 37 42 50 60 70 74 75 84 100 105 111 140 148 150 175 185 210 222 259 300 350 370 420 444 518 525 555 700 740 777 925 1036 1050 1110 1295 1554 1850 2100 2220 2590 2775 3108 3700 3885 5180 5550 6475 7770 11100 12950 15540 19425 25900 38850 77700 12872999 25745998 38618997 51491996 64364995 77237994 90110993 128729990 154475988 180221986 193094985 257459980 270332979 321824975 360443972 386189970 450554965 476300963 540665958 643649950 772379940 901109930 952601926 965474925 1081331916 1287299900 1351664895 1428902889 1802219860 1905203852 1930949850 2252774825 2381504815 2703329790 2857805778 3334106741 3861899700 4505549650 4763009630 5406659580 5715611556 6668213482 6758324475 7144514445 9011099300 9526019260 10002320223 11907524075 13336426964 13516648950 14289028890 16670533705 20004640446 23815048150 27033297900 28578057780 33341067410 35722572225 40009280892 47630096300 50011601115 66682134820 71445144450 83352668525 100023202230 142890288900 166705337050 200046404460 250058005575 333410674100 500116011150 1000232022300