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20023226106100 = 22527711410728559
BaseRepresentation
bin1001000110110000001010…
…10001111000000011110100
32121220012110001110221111121
410203120011101320003310
510111030031340343400
6110330313150113324
74134426131455630
oct443300521700364
977805401427447
1020023226106100
11641a891150348
1222b4775aab844
13b2324a16a999
144d31b4ba5dc0
1524acb3e5a21a
hex1236054780f4

20023226106100 has 144 divisors (see below), whose sum is σ = 50362336604160. Its totient is φ = 6767697686400.

The previous prime is 20023226106049. The next prime is 20023226106101. The reversal of 20023226106100 is 160162232002.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20023226106101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 701103621 + ... + 701132179.

It is an arithmetic number, because the mean of its divisors is an integer number (349738448640).

Almost surely, 220023226106100 is an apocalyptic number.

20023226106100 is a gapful number since it is divisible by the number (20) 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 20023226106100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25181168302080).

20023226106100 is an abundant number, since it is smaller than the sum of its proper divisors (30339110498060).

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

20023226106100 is a wasteful number, since it uses less digits than its factorization.

20023226106100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42758 (or 42751 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 20023226106100 its reverse (160162232002), we get a palindrome (20183388338102).

The spelling of 20023226106100 in words is "twenty trillion, twenty-three billion, two hundred twenty-six million, one hundred six thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 71 100 140 142 175 284 350 355 497 700 710 994 1420 1775 1988 2485 3550 4970 7100 9940 12425 14107 24850 28214 28559 49700 56428 57118 70535 98749 114236 141070 142795 197498 199913 282140 285590 352675 394996 399826 493745 571180 705350 713975 799652 987490 999565 1001597 1410700 1427950 1974980 1999130 2003194 2027689 2468725 2855900 3998260 4006388 4055378 4937450 4997825 5007985 7011179 8110756 9874900 9995650 10015970 10138445 14022358 14193823 19991300 20031940 20276890 25039925 28044716 28387646 35055895 40553780 50079850 50692225 56775292 70111790 70969115 100159700 101384450 140223580 141938230 175279475 202768900 283876460 350558950 354845575 402881813 701117900 709691150 805763626 1419382300 1611527252 2014409065 2820172691 4028818130 5640345382 8057636260 10072045325 11280690764 14100863455 20144090650 28201726910 28604608723 40288181300 56403453820 57209217446 70504317275 114418434892 141008634550 143023043615 200232261061 282017269100 286046087230 400464522122 572092174460 715115218075 800929044244 1001161305305 1430230436150 2002322610610 2860460872300 4004645221220 5005806526525 10011613053050 20023226106100