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2120302322000 = 24531762361833
BaseRepresentation
bin11110110110101011110…
…111011110000101010000
321111200212111220000021122
4132312223313132011100
5234214334343301000
64302015313141412
7306121032240512
oct36665367360520
97450774800248
102120302322000
117482404259a5
122a2b18b5a868
13124c362803a5
14748a2011bb2
153a2497a0085
hex1edabdde150

2120302322000 has 80 divisors (see below), whose sum is σ = 5428472926032. Its totient is φ = 798231449600.

The previous prime is 2120302321987. The next prime is 2120302322003. The reversal of 2120302322000 is 2232030212.

It can be written as a sum of positive squares in 8 ways, for example, as 61169160976 + 2059133161024 = 247324^2 + 1434968^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 2120302322000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120302322003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31146917 + ... + 31214916.

Almost surely, 22120302322000 is an apocalyptic number.

2120302322000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120302322000 is an abundant number, since it is smaller than the sum of its proper divisors (3308170604032).

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

2120302322000 is a wasteful number, since it uses less digits than its factorization.

2120302322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62361873 (or 62361857 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 2120302322000 its reverse (2232030212), we get a palindrome (2122534352212).

The spelling of 2120302322000 in words is "two trillion, one hundred twenty billion, three hundred two million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4250 6800 8500 17000 34000 62361833 124723666 249447332 311809165 498894664 623618330 997789328 1060151161 1247236660 1559045825 2120302322 2494473320 3118091650 4240604644 4988946640 5300755805 6236183300 7795229125 8481209288 10601511610 12472366600 15590458250 16962418576 21203023220 24944733200 26503779025 31180916500 42406046440 53007558050 62361833000 84812092880 106015116100 124723666000 132518895125 212030232200 265037790250 424060464400 530075580500 1060151161000 2120302322000