Search a number
-
+
11312203031200 = 2552233119832053
BaseRepresentation
bin1010010010011101001111…
…0101111110001010100000
31111001102202212201220212001
42210213103311332022200
52440314342433444300
640020430534013344
72245164636153301
oct244472365761240
944042685656761
1011312203031200
113671529780165
121328469aa7254
13640975493386
142b17292667a8
151493ca34116a
hexa49d3d7e2a0

11312203031200 has 144 divisors (see below), whose sum is σ = 29746177122816. Its totient is φ = 4188529382400.

The previous prime is 11312203031167. The next prime is 11312203031263. The reversal of 11312203031200 is 213030221311.

11312203031200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9345627 + ... + 10486426.

It is an arithmetic number, because the mean of its divisors is an integer number (206570674464).

Almost surely, 211312203031200 is an apocalyptic number.

11312203031200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11312203031200 is an abundant number, since it is smaller than the sum of its proper divisors (18433974091616).

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

11312203031200 is a wasteful number, since it uses less digits than its factorization.

11312203031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19832127 (or 19832114 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 11312203031200 its reverse (213030221311), we get a palindrome (11525233252511).

The spelling of 11312203031200 in words is "eleven trillion, three hundred twelve billion, two hundred three million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 31 32 40 46 50 62 80 92 100 115 124 155 160 184 200 230 248 310 368 400 460 496 575 620 713 736 775 800 920 992 1150 1240 1426 1550 1840 2300 2480 2852 3100 3565 3680 4600 4960 5704 6200 7130 9200 11408 12400 14260 17825 18400 22816 24800 28520 35650 57040 71300 114080 142600 285200 570400 19832053 39664106 79328212 99160265 158656424 198320530 317312848 396641060 456137219 495801325 614793643 634625696 793282120 912274438 991602650 1229587286 1586564240 1824548876 1983205300 2280686095 2459174572 3073968215 3173128480 3649097752 3966410600 4561372190 4918349144 6147936430 7298195504 7932821200 9122744380 9836698288 11403430475 12295872860 14140253789 14596391008 15369841075 15865642400 18245488760 19673396576 22806860950 24591745720 28280507578 30739682150 36490977520 45613721900 49183491440 56561015156 61479364300 70701268945 72981955040 91227443800 98366982880 113122030312 122958728600 141402537890 182454887600 226244060624 245917457200 282805075780 353506344725 364909775200 452488121248 491834914400 565610151560 707012689450 1131220303120 1414025378900 2262440606240 2828050757800 5656101515600 11312203031200