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13132200202112 = 272953223299329
BaseRepresentation
bin1011111100011001010000…
…1000001100111110000000
31201111102111121111121210102
42333012110020030332000
53210124221222431422
643532503253421532
72523525106646225
oct277062410147600
951442447447712
1013132200202112
114203375727282
12158113733a8a8
13743490632594
1433585d7c194c
1517b8ea757192
hexbf19420cf80

13132200202112 has 128 divisors (see below), whose sum is σ = 27698321952000. Its totient is φ = 6192152838144.

The previous prime is 13132200202111. The next prime is 13132200202139. The reversal of 13132200202112 is 21120200223131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132200202111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43722464 + ... + 44021792.

It is an arithmetic number, because the mean of its divisors is an integer number (216393140250).

Almost surely, 213132200202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13132200202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13849160976000).

13132200202112 is an abundant number, since it is smaller than the sum of its proper divisors (14566121749888).

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

13132200202112 is a wasteful number, since it uses less digits than its factorization.

13132200202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299648 (or 299636 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13132200202112 its reverse (21120200223131), we get a palindrome (34252400425243).

The spelling of 13132200202112 in words is "thirteen trillion, one hundred thirty-two billion, two hundred million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 53 58 64 106 116 128 212 223 232 424 446 464 848 892 928 1537 1696 1784 1856 3074 3392 3568 3712 6148 6467 6784 7136 11819 12296 12934 14272 23638 24592 25868 28544 47276 49184 51736 94552 98368 103472 189104 196736 206944 299329 342751 378208 413888 598658 685502 756416 827776 1197316 1371004 1512832 2394632 2742008 4789264 5484016 8680541 9578528 10968032 15864437 17361082 19157056 21936064 31728874 34722164 38314112 43872128 63457748 66750367 69444328 126915496 133500734 138888656 253830992 267001468 277777312 460068673 507661984 534002936 555554624 920137346 1015323968 1068005872 1111109248 1840274692 1935760643 2030647936 2136011744 3537769451 3680549384 3871521286 4272023488 7075538902 7361098768 7743042572 8544046976 14151077804 14722197536 15486085144 28302155608 29444395072 30972170288 56604311216 58888790144 61944340576 102595314079 113208622432 123888681152 205190628158 226417244864 247777362304 410381256316 452834489728 820762512632 1641525025264 3283050050528 6566100101056 13132200202112