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11313220102020 = 22325375473105451
BaseRepresentation
bin1010010010100001000001…
…1101110010011110000100
31111001112101202112110201200
42210220100131302132010
52440323433321231040
640021115505222500
72245232066133324
oct244502035623604
944045352473650
1011313220102020
113671a008a3561
1213286b2631a30
13640aa80c9625
142b17c4379284
15149439795630
hexa4a10772784

11313220102020 has 144 divisors (see below), whose sum is σ = 35308691116608. Its totient is φ = 2929954809600.

The previous prime is 11313220101961. The next prime is 11313220102039. The reversal of 11313220102020 is 2020102231311.

11313220102020 is a `hidden beast` number, since 1 + 131 + 322 + 0 + 10 + 202 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11313220101984 and 11313220102002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2090295 + ... + 5195745.

Almost surely, 211313220102020 is an apocalyptic number.

11313220102020 is a gapful number since it is divisible by the number (10) 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 11313220102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17654345558304).

11313220102020 is an abundant number, since it is smaller than the sum of its proper divisors (23995471014588).

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

11313220102020 is a wasteful number, since it uses less digits than its factorization.

11313220102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3106050 (or 3106045 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11313220102020 its reverse (2020102231311), we get a palindrome (13333322333331).

The spelling of 11313220102020 in words is "eleven trillion, three hundred thirteen billion, two hundred twenty million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 547 555 666 740 1094 1110 1332 1641 1665 2188 2220 2735 3282 3330 4923 5470 6564 6660 8205 9846 10940 16410 19692 20239 24615 32820 40478 49230 60717 80956 98460 101195 121434 182151 202390 242868 303585 364302 404780 607170 728604 910755 1214340 1821510 3105451 3643020 6210902 9316353 12421804 15527255 18632706 27949059 31054510 37265412 46581765 55898118 62109020 93163530 111796236 114901687 139745295 186327060 229803374 279490590 344705061 459606748 558981180 574508435 689410122 1034115183 1149016870 1378820244 1698681697 1723525305 2068230366 2298033740 3397363394 3447050610 4136460732 5096045091 5170575915 6794726788 6894101220 8493408485 10192090182 10341151830 15288135273 16986816970 20384180364 20682303660 25480225455 30576270546 33973633940 50960450910 61152541092 62851222789 76440676365 101920901820 125702445578 152881352730 188553668367 251404891156 305762705460 314256113945 377107336734 565661005101 628512227890 754214673468 942768341835 1131322010202 1257024455780 1885536683670 2262644020404 2828305025505 3771073367340 5656610051010 11313220102020