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11332000203320 = 23511316333074651
BaseRepresentation
bin1010010011100110111111…
…0110001100001000111000
31111010022212120121110120002
42210321233312030020320
52441130414023001240
640033503220052132
72246465346304256
oct244715766141070
944108776543502
1011332000203320
113679968765635
121330273b34048
136427abb337c4
142b26866315d6
15149b88394d15
hexa4e6fd8c238

11332000203320 has 128 divisors (see below), whose sum is σ = 25893837354240. Its totient is φ = 4462814361600.

The previous prime is 11332000203319. The next prime is 11332000203353. The reversal of 11332000203320 is 2330200023311.

11332000203320 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 11332000203292 and 11332000203301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2436462995 + ... + 2436467645.

It is an arithmetic number, because the mean of its divisors is an integer number (202295604330).

Almost surely, 211332000203320 is an apocalyptic number.

11332000203320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11332000203320 is an abundant number, since it is smaller than the sum of its proper divisors (14561837150920).

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

11332000203320 is a wasteful number, since it uses less digits than its factorization.

11332000203320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8245 (or 8241 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 11332000203320 its reverse (2330200023311), we get a palindrome (13662200226631).

The spelling of 11332000203320 in words is "eleven trillion, three hundred thirty-two billion, two hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 113 163 226 326 452 565 652 815 904 1130 1304 1630 2260 3260 3307 4520 4651 6520 6614 9302 13228 16535 18419 18604 23255 26456 33070 36838 37208 46510 66140 73676 92095 93020 132280 147352 184190 186040 368380 373691 525563 539041 736760 747382 758113 1051126 1078082 1494764 1516226 1868455 2102252 2156164 2627815 2695205 2989528 3032452 3736910 3790565 4204504 4312328 5255630 5390410 6064904 7473820 7581130 10511260 10780820 14947640 15162260 15380857 21022520 21561640 30324520 30761714 60911633 61523428 76904285 85666769 121823266 123046856 153808570 171333538 243646532 304558165 307617140 342667076 428333845 487293064 609116330 615234280 685334152 856667690 1218232660 1713335380 1738036841 2436465320 2507079691 3426670760 3476073682 5014159382 6952147364 8690184205 10028318764 12535398455 13904294728 17380368410 20056637528 25070796910 34760736820 50141593820 69521473640 100283187640 283300005083 566600010166 1133200020332 1416500025415 2266400040664 2833000050830 5666000101660 11332000203320