Search a number
-
+
101220010101200 = 24522346323762797
BaseRepresentation
bin10111000000111100011110…
…101111110000100111010000
3111021101112112112120002202102
4113000330132233300213100
5101231342040041214300
6555135455233135532
730214622131662614
oct2700743657604720
9437345475502672
10101220010101200
112a28518a9a1491
12b4291486ba5a8
134463010234203
141add108ad1344
15ba7e7106e0d5
hex5c0f1ebf09d0

101220010101200 has 120 divisors (see below), whose sum is σ = 254302240305408. Its totient is φ = 38644009367040.

The previous prime is 101220010101193. The next prime is 101220010101209. The reversal of 101220010101200 is 2101010022101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220010101209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7621799 + ... + 16140998.

Almost surely, 2101220010101200 is an apocalyptic number.

101220010101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220010101200 is an abundant number, since it is smaller than the sum of its proper divisors (153082230204208).

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

101220010101200 is a wasteful number, since it uses less digits than its factorization.

101220010101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23763301 (or 23763290 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101220010101200 its reverse (2101010022101), we get a palindrome (103321020123301).

The spelling of 101220010101200 in words is "one hundred one trillion, two hundred twenty billion, ten million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 463 575 920 926 1150 1840 1852 2300 2315 3704 4600 4630 7408 9200 9260 10649 11575 18520 21298 23150 37040 42596 46300 53245 85192 92600 106490 170384 185200 212980 266225 425960 532450 851920 1064900 2129800 4259600 23762797 47525594 95051188 118813985 190102376 237627970 380204752 475255940 546544331 594069925 950511880 1093088662 1188139850 1901023760 2186177324 2376279700 2732721655 4372354648 4752559400 5465443310 8744709296 9505118800 10930886620 11002175011 13663608275 21861773240 22004350022 27327216550 43723546480 44008700044 54654433100 55010875055 88017400088 109308866200 110021750110 176034800176 218617732400 220043500220 253050025253 275054375275 440087000440 506100050506 550108750550 880174000880 1012200101012 1100217501100 1265250126265 2024400202024 2200435002200 2530500252530 4048800404048 4400870004400 5061000505060 6326250631325 10122001010120 12652501262650 20244002020240 25305002525300 50610005050600 101220010101200