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13032120202032 = 2433836418091367
BaseRepresentation
bin1011110110100100011011…
…1001010011001100110000
31201010212011212022212001210
42331221012321103030300
53202004240232431112
643414512352000120
72513353041664311
oct275510671231460
951125155285053
1013032120202032
11417498911aa08
121565866830040
13736c01392719
14330a87c98608
15178ede4b8b3c
hexbda46e53330

13032120202032 has 160 divisors (see below), whose sum is σ = 33873420533760. Its totient is φ = 4317430743040.

The previous prime is 13032120201979. The next prime is 13032120202033. The reversal of 13032120202032 is 23020202123031.

It is a happy number.

13032120202032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×130321202020323 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13032120202033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9533371813 + ... + 9533373179.

It is an arithmetic number, because the mean of its divisors is an integer number (211708878336).

Almost surely, 213032120202032 is an apocalyptic number.

13032120202032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13032120202032 is an abundant number, since it is smaller than the sum of its proper divisors (20841300331728).

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

13032120202032 is a wasteful number, since it uses less digits than its factorization.

13032120202032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3211 (or 3205 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13032120202032 its reverse (23020202123031), we get a palindrome (36052322325063).

The spelling of 13032120202032 in words is "thirteen trillion, thirty-two billion, one hundred twenty million, two hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 383 641 766 809 1149 1282 1367 1532 1618 1923 2298 2427 2564 2734 3064 3236 3846 4101 4596 4854 5128 5468 6128 6472 7692 8202 9192 9708 10256 10936 12944 15384 16404 18384 19416 21872 30768 32808 38832 65616 245503 309847 491006 518569 523561 619694 736509 876247 929541 982012 1037138 1047122 1105903 1239388 1473018 1555707 1570683 1752494 1859082 1964024 2074276 2094244 2211806 2478776 2628741 2946036 3111414 3141366 3317709 3504988 3718164 3928048 4148552 4188488 4423612 4957552 5257482 5892072 6222828 6282732 6635418 7009976 7436328 8297104 8376976 8847224 10514964 11784144 12445656 12565464 13270836 14019952 14872656 17694448 21029928 24891312 25130928 26541672 42059856 53083344 198611927 335602601 397223854 423560849 595835781 671205202 708883823 794447708 847121698 1006807803 1191671562 1270682547 1342410404 1417767646 1588895416 1694243396 2013615606 2126651469 2383343124 2541365094 2684820808 2835535292 3177790832 3388486792 4027231212 4253302938 4766686248 5082730188 5369641616 5671070584 6776973584 8054462424 8506605876 9533372496 10165460376 11342141168 16108924848 17013211752 20330920752 34026423504 271502504209 543005008418 814507512627 1086010016836 1629015025254 2172020033672 3258030050508 4344040067344 6516060101016 13032120202032