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11201131130310 = 2345117317221117
BaseRepresentation
bin1010001011111111011101…
…1100010010110111000110
31110122211002002100201220000
42202333313130102313012
52432004404032132220
635453421213422130
72234153320450332
oct242776734226706
943584062321800
1011201131130310
113629411568050
12130aa3019a946
13633353ba34b4
142aa1cd97a7c2
151465790b3390
hexa2ff7712dc6

11201131130310 has 160 divisors (see below), whose sum is σ = 33306744363552. Its totient is φ = 2678227960320.

The previous prime is 11201131130303. The next prime is 11201131130327. The reversal of 11201131130310 is 1303113110211.

11201131130310 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 11 + 311 + 30 + 310 = 666.

It is a super-4 number, since 4×112011311303104 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7960129 + ... + 9260988.

Almost surely, 211201131130310 is an apocalyptic number.

11201131130310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11201131130310 is an abundant number, since it is smaller than the sum of its proper divisors (22105613233242).

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

11201131130310 is a wasteful number, since it uses less digits than its factorization.

11201131130310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17221220 (or 17221211 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 11201131130310 its reverse (1303113110211), we get a palindrome (12504244240521).

The spelling of 11201131130310 in words is "eleven trillion, two hundred one billion, one hundred thirty-one million, one hundred thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 73 81 90 99 110 135 146 162 165 198 219 270 297 330 365 405 438 495 594 657 730 803 810 891 990 1095 1314 1485 1606 1782 1971 2190 2409 2970 3285 3942 4015 4455 4818 5913 6570 7227 8030 8910 9855 11826 12045 14454 19710 21681 24090 29565 36135 43362 59130 65043 72270 108405 130086 216810 325215 650430 17221117 34442234 51663351 86105585 103326702 154990053 172211170 189432287 258316755 309980106 378864574 464970159 516633510 568296861 774950265 929940318 947161435 1136593722 1257141541 1394910477 1549900530 1704890583 1894322870 2324850795 2514283082 2789820954 2841484305 3409781166 3771424623 4649701590 5114671749 5682968610 6285707705 6974552385 7542849246 8524452915 10229343498 11314273869 12571415410 13828556951 13949104770 15344015247 17048905830 18857123115 22628547738 25573358745 27657113902 30688030494 33942821607 37714246230 41485670853 51146717490 56571369345 67885643214 69142784755 76720076235 82971341706 101828464821 113142738690 124457012559 138285569510 153440152470 169714108035 203656929642 207428354265 248914025118 339428216070 373371037677 414856708530 509142324105 622285062795 746742075354 1018284648210 1120113113031 1244570125590 1866855188385 2240226226062 3733710376770 5600565565155 11201131130310