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720110010000101 = 743149173353467563
BaseRepresentation
bin1010001110111011111010110…
…1010110000110001011100101
310111102200211210201220020120212
42203232332231112012023211
51223341240300030000401
611031313545513305205
7304452142231144520
oct24356765526061345
93442624721806525
10720110010000101
111994a3a38463506
1268922189405205
1324ba710c5250c6
14c9b7720965bb7
15583baa9743dbb
hex28eefad5862e5

720110010000101 has 128 divisors (see below), whose sum is σ = 858442854297600. Its totient is φ = 591364974993408.

The previous prime is 720110010000047. The next prime is 720110010000119. The reversal of 720110010000101 is 101000010011027.

It is a de Polignac number, because none of the positive numbers 2k-720110010000101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (720110010000001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1279058632046 + ... + 1279058632608.

It is an arithmetic number, because the mean of its divisors is an integer number (6706584799200).

Almost surely, 2720110010000101 is an apocalyptic number.

It is an amenable number.

720110010000101 is a deficient number, since it is larger than the sum of its proper divisors (138332844297499).

720110010000101 is a wasteful number, since it uses less digits than its factorization.

720110010000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755.

The product of its (nonzero) digits is 14, while the sum is 14.

Adding to 720110010000101 its reverse (101000010011027), we get a palindrome (821110020011128).

The spelling of 720110010000101 in words is "seven hundred twenty trillion, one hundred ten billion, ten million, one hundred one", and thus it is an aban number.

Divisors: 1 7 43 149 173 301 353 467 563 1043 1211 2471 3269 3941 6407 7439 15179 20081 24209 25777 44849 52073 52597 61069 69583 80791 83887 97399 106253 140567 164851 169463 180439 198739 262921 368179 427483 487081 565537 587209 681793 1108411 1153957 1391173 1840447 2261671 2625967 2992069 3474013 3607141 4188157 7088593 7758877 8545777 9099281 11305603 12037859 14512451 15831697 18381769 20944483 24318091 24562799 25249987 28519223 29317099 29612111 34381847 39175229 45485333 49620151 59820439 63694967 79139221 84265013 92811113 101587157 171939593 199634561 207284777 240672929 274226603 318397331 391269083 517627937 624035393 649677791 1056200357 1226326589 1273320773 1478419421 1684534847 1955869319 2738883581 3623395559 3990877859 4249364227 4368247751 5122895203 6777314617 7393402499 8584286123 8913245411 10348935947 11791743929 13691085233 13828855837 16056322549 27936145013 29745549589 35860266421 47441202319 96801990859 112394257843 182722661761 220284493729 291424528531 594640800991 690421869607 1279058632327 1541991456103 2039971699717 2392392059801 4162485606937 4832953087249 16746744418607 102872858571443 720110010000101