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22303141004001 = 31113349175384977
BaseRepresentation
bin1010001001000110110101…
…10011000000001011100001
32220222011022020120220211110
411010203122303000023201
510410403313044112001
6115233531014533533
74461230424366354
oct504433263001341
986864266526743
1022303141004001
1171197887229a0
1226025b89672a9
13c5a23c32a550
1457169907c29b
1528a25116a3d6
hex1448dacc02e1

22303141004001 has 64 divisors (see below), whose sum is σ = 35056892102400. Its totient is φ = 12434286551040.

The previous prime is 22303141003993. The next prime is 22303141004041. The reversal of 22303141004001 is 10040014130322.

It is not a de Polignac number, because 22303141004001 - 23 = 22303141003993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22303141004041) 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, 262418425 + ... + 262503401.

It is an arithmetic number, because the mean of its divisors is an integer number (547763939100).

Almost surely, 222303141004001 is an apocalyptic number.

It is an amenable number.

22303141004001 is a deficient number, since it is larger than the sum of its proper divisors (12753751098399).

22303141004001 is a wasteful number, since it uses less digits than its factorization.

22303141004001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87106.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 22303141004001 its reverse (10040014130322), we get a palindrome (32343155134323).

The spelling of 22303141004001 in words is "twenty-two trillion, three hundred three billion, one hundred forty-one million, four thousand, one".

Divisors: 1 3 11 13 33 39 143 349 429 1047 1753 3839 4537 5259 11517 13611 19283 22789 49907 57849 68367 84977 149721 250679 254931 611797 752037 934747 1104701 1835391 2804241 3314103 6729767 7953361 12151711 20189301 23860083 29656973 36455133 87486971 88970919 148964681 262460913 326226703 385540649 446894043 978680109 1156621947 1638611491 1936540853 4240947139 4915834473 5809622559 12722841417 21301949383 51988673669 63905848149 155966021007 571875410359 675852757697 1715626231077 2027558273091 7434380334667 22303141004001