Search a number
-
+
1220200201000 = 235311293825079
BaseRepresentation
bin10001110000011001100…
…110010111101100101000
311022122112211221122101001
4101300121212113230220
5124442432222413000
62332315141004344
7154104461402224
oct21603146275450
94278484848331
101220200201000
11430536226090
121785966b36b4
138b0ab5ba271
14430b5245784
1521b1830046a
hex11c19997b28

1220200201000 has 128 divisors (see below), whose sum is σ = 3222247392000. Its totient is φ = 428408736000.

The previous prime is 1220200200997. The next prime is 1220200201027. The reversal of 1220200201000 is 1020020221.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 31 ways as a sum of consecutive naturals, for example, 1593540 + ... + 2231539.

It is an arithmetic number, because the mean of its divisors is an integer number (25173807750).

Almost surely, 21220200201000 is an apocalyptic number.

1220200201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220200201000 is an abundant number, since it is smaller than the sum of its proper divisors (2002047191000).

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

1220200201000 is a wasteful number, since it uses less digits than its factorization.

1220200201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825140 (or 3825126 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1220200201000 its reverse (1020020221), we get a palindrome (1221220221221).

The spelling of 1220200201000 in words is "one trillion, two hundred twenty billion, two hundred million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 29 40 44 50 55 58 88 100 110 116 125 145 200 220 232 250 275 290 319 440 500 550 580 638 725 1000 1100 1160 1276 1375 1450 1595 2200 2552 2750 2900 3190 3625 5500 5800 6380 7250 7975 11000 12760 14500 15950 29000 31900 39875 63800 79750 159500 319000 3825079 7650158 15300316 19125395 30600632 38250790 42075869 76501580 84151738 95626975 110927291 153003160 168303476 191253950 210379345 221854582 336606952 382507900 420758690 443709164 478134875 554636455 765015800 841517380 887418328 956269750 1051896725 1109272910 1220200201 1683034760 1912539500 2103793450 2218545820 2440400402 2773182275 3825079000 4207586900 4437091640 4880800804 5259483625 5546364550 6101001005 8415173800 9761601608 10518967250 11092729100 12202002010 13865911375 21037934500 22185458200 24404004020 27731822750 30505005025 42075869000 48808008040 55463645500 61010010050 110927291000 122020020100 152525025125 244040040200 305050050250 610100100500 1220200201000