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13021213313120 = 255196763929759
BaseRepresentation
bin1011110101111011110011…
…0010110100100001100000
31201002211000202002111020012
42331132330302310201200
53201314421102004440
643405510211304052
72512515542652335
oct275367462644140
951084022074205
1013021213313120
1141702a14a8931
121563721bab028
13735b838390bc
1433033150498c
15178aa1bbce65
hexbd7bccb4860

13021213313120 has 96 divisors (see below), whose sum is σ = 32865011020800. Its totient is φ = 4860707360256.

The previous prime is 13021213313113. The next prime is 13021213313153. The reversal of 13021213313120 is 2131331212031.

It is a super-2 number, since 2×130212133131202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31761200 + ... + 32168559.

It is an arithmetic number, because the mean of its divisors is an integer number (342343864800).

Almost surely, 213021213313120 is an apocalyptic number.

13021213313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13021213313120 is an abundant number, since it is smaller than the sum of its proper divisors (19843797707680).

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

13021213313120 is a wasteful number, since it uses less digits than its factorization.

13021213313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63929860 (or 63929852 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 13021213313120 its reverse (2131331212031), we get a palindrome (15152544525151).

The spelling of 13021213313120 in words is "thirteen trillion, twenty-one billion, two hundred thirteen million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 67 76 80 95 134 152 160 190 268 304 335 380 536 608 670 760 1072 1273 1340 1520 2144 2546 2680 3040 5092 5360 6365 10184 10720 12730 20368 25460 40736 50920 101840 203680 63929759 127859518 255719036 319648795 511438072 639297590 1022876144 1214665421 1278595180 2045752288 2429330842 2557190360 4283293853 4858661684 5114380720 6073327105 8566587706 9717323368 10228761440 12146654210 17133175412 19434646736 21416469265 24293308420 34266350824 38869293472 42832938530 48586616840 68532701648 81382583207 85665877060 97173233680 137065403296 162765166414 171331754120 194346467360 325530332828 342663508240 406912916035 651060665656 685327016480 813825832070 1302121331312 1627651664140 2604242662624 3255303328280 6510606656560 13021213313120