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220130000430441 = 31937333149516329
BaseRepresentation
bin110010000011010100000010…
…011110101110010101101001
31001212102020000012211200022020
4302003110002132232111221
5212323102220102233231
62100102154240015053
764236603422635623
oct6203240236562551
91055366005750266
10220130000430441
116415a677513952
1220832803901489
1395aa22956832a
143c504c541dc13
151a6b146d21396
hexc835027ae569

220130000430441 has 64 divisors (see below), whose sum is σ = 317514031564800. Its totient is φ = 135182634048000.

The previous prime is 220130000430433. The next prime is 220130000430523. The reversal of 220130000430441 is 144034000031022.

It is not a de Polignac number, because 220130000430441 - 23 = 220130000430433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220130000430401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34781162965 + ... + 34781169293.

It is an arithmetic number, because the mean of its divisors is an integer number (4961156743200).

Almost surely, 2220130000430441 is an apocalyptic number.

It is an amenable number.

220130000430441 is a deficient number, since it is larger than the sum of its proper divisors (97384031134359).

220130000430441 is a wasteful number, since it uses less digits than its factorization.

220130000430441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14670.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 220130000430441 its reverse (144034000031022), we get a palindrome (364164000461463).

The spelling of 220130000430441 in words is "two hundred twenty trillion, one hundred thirty billion, four hundred thirty thousand, four hundred forty-one".

Divisors: 1 3 19 37 57 111 703 2109 3331 4951 6329 9993 14853 18987 63289 94069 120251 123247 183187 189867 234173 282207 360753 369741 549561 702519 2341693 3480553 4449287 7025079 10441659 13347861 16491781 21081899 31334879 49475343 63245697 94004637 313343839 400556081 595362701 610195897 780030263 940031517 1159390523 1201668243 1786088103 1830587691 2340090789 3478171569 11593722043 14820574997 22028419937 34781166129 44461724991 66085259811 104376481949 313129445847 1983153157031 3861929832113 5949459471093 11585789496339 73376666810147 220130000430441