Search a number
-
+
11200121110002 = 23113728116321901
BaseRepresentation
bin1010001011111011101100…
…1111010111110111110010
31110122201110200211101111110
42202332323033113313302
52432000322001010002
635453133053254150
72234116304433606
oct242767317276762
943581420741443
1011200121110002
113628a4341a920
12130a7a9a94356
13633222868446
142aa135781506
1514651a5a2e6c
hexa2fbb3d7df2

11200121110002 has 64 divisors (see below), whose sum is σ = 25186392263808. Its totient is φ = 3290495040000.

The previous prime is 11200121109997. The next prime is 11200121110063. The reversal of 11200121110002 is 20001112100211.

It is a self number, because there is not a number n which added to its sum of digits gives 11200121110002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7474749 + ... + 8847152.

It is an arithmetic number, because the mean of its divisors is an integer number (393537379122).

Almost surely, 211200121110002 is an apocalyptic number.

11200121110002 is an abundant number, since it is smaller than the sum of its proper divisors (13986271153806).

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

11200121110002 is a wasteful number, since it uses less digits than its factorization.

11200121110002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16322235.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11200121110002 its reverse (20001112100211), we get a palindrome (31201233210213).

The spelling of 11200121110002 in words is "eleven trillion, two hundred billion, one hundred twenty-one million, one hundred ten thousand, two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 281 407 562 814 843 1221 1686 2442 3091 6182 9273 10397 18546 20794 31191 62382 114367 228734 343101 686202 16321901 32643802 48965703 97931406 179540911 359081822 538622733 603910337 1077245466 1207820674 1811731011 3623462022 4586454181 6643013707 9172908362 13286027414 13759362543 19929041121 27518725086 39858082242 50450995991 100901991982 151352987973 169698804697 302705975946 339397609394 509096414091 1018192828182 1866686851667 3733373703334 5600060555001 11200121110002