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2120220203332 = 2272114722991369
BaseRepresentation
bin11110110110100110111…
…110001101100101000100
321111200122210100221122111
4132312212332031211010
5234214202333001312
64302003221110404
7306116014241500
oct36664676154504
97450583327574
102120220203332
117481a9037a30
122a2ab5558404
13124c2225a86a
1474895157300
153a24247d8a7
hex1eda6f8d944

2120220203332 has 144 divisors (see below), whose sum is σ = 4829774342400. Its totient is φ = 804944770560.

The previous prime is 2120220203329. The next prime is 2120220203371. The reversal of 2120220203332 is 2333020220212.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23159344 + ... + 23250712.

It is an arithmetic number, because the mean of its divisors is an integer number (33540099600).

Almost surely, 22120220203332 is an apocalyptic number.

2120220203332 is a gapful number since it is divisible by the number (22) 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 2120220203332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414887171200).

2120220203332 is an abundant number, since it is smaller than the sum of its proper divisors (2709554139068).

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

2120220203332 is a wasteful number, since it uses less digits than its factorization.

2120220203332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91674 (or 91665 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 2120220203332 its reverse (2333020220212), we get a palindrome (4453240423544).

The spelling of 2120220203332 in words is "two trillion, one hundred twenty billion, two hundred twenty million, two hundred three thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 47 49 77 94 98 154 188 196 229 308 329 458 517 539 658 916 1034 1078 1316 1603 2068 2156 2303 2519 3206 3619 4606 5038 6412 7238 9212 10076 10763 11221 14476 17633 21526 22442 25333 35266 43052 44884 50666 70532 75341 91369 101332 118393 123431 150682 182738 236786 246862 301364 365476 473572 493724 527387 639583 828751 1005059 1054774 1279166 1657502 2010118 2109548 2558332 3315004 4020236 4294343 4477081 5801257 7035413 8588686 8954162 11602514 14070826 17177372 17908324 20923501 23205028 28141652 30060401 41847002 47237773 49247891 60120802 83694004 94475546 98495782 120241604 146464507 188951092 196991564 210422807 230158511 292929014 330664411 420845614 460317022 585858028 661328822 841691228 920634044 983404547 1025251549 1322657644 1611109577 1966809094 2050503098 2314650877 3222219154 3933618188 4101006196 4629301754 6444438308 6883831829 9258603508 10817450017 11277767039 13767663658 21634900034 22555534078 27535327316 43269800068 45111068156 48186822803 75722150119 96373645606 151444300238 192747291212 302888600476 530055050833 1060110101666 2120220203332