Search a number
-
+
111010102000020 = 2234587253785357
BaseRepresentation
bin11001001111011010001101…
…101100100011100110010100
3112120001110110212122222110000
4121033122031230203212110
5104022242142103000040
61032033200431131300
732245133546042646
oct3117321554434624
9476043425588400
10111010102000020
113240a135608233
121054a602673b30
1349c329141b3b2
141d5acbbc9c896
15cc7962c84130
hex64f68db23994

111010102000020 has 120 divisors (see below), whose sum is σ = 348247236068424. Its totient is φ = 29602316899584.

The previous prime is 111010102000019. The next prime is 111010102000081. The reversal of 111010102000020 is 20000201010111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26004431098116 + 85005670901904 = 5099454^2 + 9219852^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 111010101999966 and 111010102000011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 140957182 + ... + 141742538.

Almost surely, 2111010102000020 is an apocalyptic number.

111010102000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111010102000020 is an abundant number, since it is smaller than the sum of its proper divisors (237237134068404).

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

111010102000020 is a wasteful number, since it uses less digits than its factorization.

111010102000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872631 (or 872620 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 111010102000020 its reverse (20000201010111), we get a palindrome (131010303010131).

The spelling of 111010102000020 in words is "one hundred eleven trillion, ten billion, one hundred two million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 87253 174506 261759 349012 436265 523518 785277 785357 872530 1047036 1308795 1570554 1570714 1745060 2355831 2356071 2617590 3141108 3141428 3926385 3926785 4711662 4712142 5235180 7067493 7068213 7852770 7853570 9423324 9424284 11779155 11780355 14134986 14136426 15705540 15707140 21204639 23558310 23560710 28269972 28272852 35337465 35341065 42409278 47116620 47121420 63613917 70674930 70682130 84818556 106023195 127227834 141349860 141364260 212046390 254455668 318069585 424092780 636139170 1272278340 68524754321 137049508642 205574262963 274099017284 342623771605 411148525926 616722788889 685247543210 822297051852 1027871314815 1233445577778 1370495086420 1850168366667 2055742629630 2466891155556 3083613944445 3700336733334 4111485259260 5550505100001 6167227888890 7400673466668 9250841833335 11101010200002 12334455777780 18501683666670 22202020400004 27752525500005 37003367333340 55505051000010 111010102000020