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11333130130300 = 225211292999118463
BaseRepresentation
bin1010010011101011001100…
…1100100001001101111100
31111010102210022202200222111
42210322303030201031330
52441140222303132200
640034211302223404
72246535346443106
oct244726314411574
944112708680874
1011333130130300
11367a398560490
12133052a424b64
1364292bc62154
142b2752720576
15149c0268d0ba
hexa4eb332137c

11333130130300 has 144 divisors (see below), whose sum is σ = 27763223040000. Its totient is φ = 3977669651200.

The previous prime is 11333130130291. The next prime is 11333130130319. The reversal of 11333130130300 is 303103133311.

11333130130300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 95608869 + ... + 95727331.

It is an arithmetic number, because the mean of its divisors is an integer number (192800160000).

Almost surely, 211333130130300 is an apocalyptic number.

11333130130300 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 11333130130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13881611520000).

11333130130300 is an abundant number, since it is smaller than the sum of its proper divisors (16430092909700).

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

11333130130300 is a wasteful number, since it uses less digits than its factorization.

11333130130300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121516 (or 121509 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 11333130130300 its reverse (303103133311), we get a palindrome (11636233263611).

The spelling of 11333130130300 in words is "eleven trillion, three hundred thirty-three billion, one hundred thirty million, one hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 550 580 638 725 1100 1276 1450 1595 2900 2999 3190 5998 6380 7975 11996 14995 15950 29990 31900 32989 59980 65978 74975 86971 118463 131956 149950 164945 173942 236926 299900 329890 347884 434855 473852 592315 659780 824725 869710 956681 1184630 1303093 1649450 1739420 1913362 2174275 2369260 2606186 2961575 3298900 3435427 3826724 4348550 4783405 5212372 5923150 6515465 6870854 8697100 9566810 11846300 13030930 13741708 17177135 19133620 23917025 26061860 32577325 34354270 37789697 47834050 65154650 68708540 75579394 85885675 95668100 130309300 151158788 171771350 188948485 343542700 355270537 377896970 710541074 755793940 944742425 1421082148 1776352685 1889484850 3552705370 3778969700 3907975907 7105410740 7815951814 8881763425 10302845573 15631903628 17763526850 19539879535 20605691146 35527053700 39079759070 41211382292 51514227865 78159518140 97699397675 103028455730 113331301303 195398795350 206056911460 226662602606 257571139325 390797590700 453325205212 515142278650 566656506515 1030284557300 1133313013030 2266626026060 2833282532575 5666565065150 11333130130300