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2153021443320 = 2335112251724601
BaseRepresentation
bin11111010101001010000…
…101000000110011111000
321121211022202200120212210
4133111022011000303320
5240233341442141240
64325030121335120
7311356610211666
oct37251205006370
97554282616783
102153021443320
11760100526030
122a932a6374a0
1312804ba953c7
14762c7629c36
153b011e89780
hex1f54a140cf8

2153021443320 has 128 divisors (see below), whose sum is σ = 7049392001280. Its totient is φ = 521712000000.

The previous prime is 2153021443297. The next prime is 2153021443337. The reversal of 2153021443320 is 233441203512.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 2609020 + ... + 3333620.

It is an arithmetic number, because the mean of its divisors is an integer number (55073375010).

Almost surely, 22153021443320 is an apocalyptic number.

2153021443320 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 2153021443320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524696000640).

2153021443320 is an abundant number, since it is smaller than the sum of its proper divisors (4896370557960).

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

2153021443320 is a wasteful number, since it uses less digits than its factorization.

2153021443320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726877 (or 726873 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 2153021443320 its reverse (233441203512), we get a palindrome (2386462646832).

The spelling of 2153021443320 in words is "two trillion, one hundred fifty-three billion, twenty-one million, four hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 2251 4502 6753 9004 11255 13506 18008 22510 24761 27012 33765 45020 49522 54024 67530 74283 90040 99044 123805 135060 148566 198088 247610 270120 297132 371415 495220 594264 724601 742830 990440 1449202 1485660 2173803 2898404 2971320 3623005 4347606 5796808 7246010 7970611 8695212 10869015 14492020 15941222 17390424 21738030 23911833 28984040 31882444 39853055 43476060 47823666 63764888 79706110 86952120 95647332 119559165 159412220 191294664 239118330 318824440 478236660 956473320 1631076851 3262153702 4893230553 6524307404 8155384255 9786461106 13048614808 16310768510 17941845361 19572922212 24466152765 32621537020 35883690722 39145844424 48932305530 53825536083 65243074040 71767381444 89709226805 97864611060 107651072166 143534762888 179418453610 195729222120 215302144332 269127680415 358836907220 430604288664 538255360830 717673814440 1076510721660 2153021443320