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22300153001441 = 719938941153533
BaseRepresentation
bin1010001001000001010001…
…01100101011010111100001
32220221212121000010122212222
411010200220230223113201
510410331203132021231
6115232314315400425
74461063402652550
oct504405054532741
986855530118788
1022300153001441
117118495007397
122601b04153115
13c59b84286ab3
145714942b9d97
1528a128b9627b
hex144828b2b5e1

22300153001441 has 16 divisors (see below), whose sum is σ = 25679805216000. Its totient is φ = 18969473654208.

The previous prime is 22300153001431. The next prime is 22300153001501. The reversal of 22300153001441 is 14410035100322.

It is a happy number.

It is not a de Polignac number, because 22300153001441 - 214 = 22300152985057 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22300153001441.

It is not an unprimeable number, because it can be changed into a prime (22300153001431) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20034890 + ... + 21118643.

It is an arithmetic number, because the mean of its divisors is an integer number (1604987826000).

Almost surely, 222300153001441 is an apocalyptic number.

It is an amenable number.

22300153001441 is a deficient number, since it is larger than the sum of its proper divisors (3379652214559).

22300153001441 is a wasteful number, since it uses less digits than its factorization.

22300153001441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41154128.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 22300153001441 its reverse (14410035100322), we get a palindrome (36710188101763).

The spelling of 22300153001441 in words is "twenty-two trillion, three hundred billion, one hundred fifty-three million, one thousand, four hundred forty-one".

Divisors: 1 7 199 389 1393 2723 77411 541877 41153533 288074731 8189553067 16008724337 57326871469 112061070359 3185736143063 22300153001441