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13220001212032 = 274115756328499
BaseRepresentation
bin1100000001100000010101…
…1110011110011010000000
31201210211010121121001121201
43000120011132132122000
53213044030302241112
644041103522030544
72533053645141046
oct300300536363200
951724117531551
1013220001212032
11423763104859a
12159615b7a8454
1374b8439b7aa4
14339bcc626396
1517dd38a16257
hexc060579e680

13220001212032 has 128 divisors (see below), whose sum is σ = 27200101320000. Its totient is φ = 6396100239360.

The previous prime is 13220001211919. The next prime is 13220001212053. The reversal of 13220001212032 is 23021210002231.

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

It is a super-2 number, since 2×132200012120322 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463861719 + ... + 463890217.

Almost surely, 213220001212032 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 13220001212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13600050660000).

13220001212032 is an abundant number, since it is smaller than the sum of its proper divisors (13980100107968).

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

13220001212032 is a wasteful number, since it uses less digits than its factorization.

13220001212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29274 (or 29262 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 13220001212032 its reverse (23021210002231), we get a palindrome (36241211214263).

The spelling of 13220001212032 in words is "thirteen trillion, two hundred twenty billion, one million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 157 164 314 328 563 628 656 1126 1256 1312 2252 2512 2624 4504 5024 5248 6437 9008 10048 12874 18016 20096 23083 25748 28499 36032 46166 51496 56998 72064 88391 92332 102992 113996 176782 184664 205984 227992 353564 369328 411968 455984 707128 738656 823936 911968 1168459 1414256 1477312 1823936 2336918 2828512 2954624 3624031 3647872 4474343 4673836 5657024 7248062 8948686 9347672 11314048 14496124 16044937 17897372 18695344 28992248 32089874 35794744 37390688 57984496 64179748 71589488 74781376 115968992 128359496 143178976 149562752 183448063 231937984 256718992 286357952 366896126 463875968 513437984 572715904 657842417 733792252 1026875968 1315684834 1467584504 2053751936 2519055109 2631369668 2935169008 5038110218 5262739336 5870338016 10076220436 10525478672 11740676032 20152440872 21050957344 23481352064 40304881744 42101914688 80609763488 84203829376 103281259469 161219526976 206562518938 322439053952 413125037876 826250075752 1652500151504 3305000303008 6610000606016 13220001212032