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21312013123120 = 245816893261151
BaseRepresentation
bin1001101100010000101101…
…11110001011111000110000
32210110102000211121211202211
410312020112332023320300
510243134000324414440
6113154334220421504
74326512360404666
oct466102676137060
983412024554684
1021312013123120
116877412894455
1224824b20a7894
13bb7939188c45
1453971507cc36
1526e59376eeea
hex136216f8be30

21312013123120 has 40 divisors (see below), whose sum is σ = 49551052279680. Its totient is φ = 8524698278400.

The previous prime is 21312013123103. The next prime is 21312013123127. The reversal of 21312013123120 is 2132131021312.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 21312013123091 and 21312013123100.

It is not an unprimeable number, because it can be changed into a prime (21312013123127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4904545 + ... + 8165695.

It is an arithmetic number, because the mean of its divisors is an integer number (1238776306992).

Almost surely, 221312013123120 is an apocalyptic number.

21312013123120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21312013123120 is an abundant number, since it is smaller than the sum of its proper divisors (28239039156560).

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

21312013123120 is a wasteful number, since it uses less digits than its factorization.

21312013123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342853 (or 3342847 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 21312013123120 its reverse (2132131021312), we get a palindrome (23444144144432).

The spelling of 21312013123120 in words is "twenty-one trillion, three hundred twelve billion, thirteen million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 81689 163378 326756 408445 653512 816890 1307024 1633780 3261151 3267560 6522302 6535120 13044604 16305755 26089208 32611510 52178416 65223020 130446040 260892080 266400164039 532800328078 1065600656156 1332000820195 2131201312312 2664001640390 4262402624624 5328003280780 10656006561560 21312013123120