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10211210200032 = 2533111117306191
BaseRepresentation
bin1001010010010111101110…
…0011101000001111100000
31100011011220210111002210120
42110211323203220033200
52314300024302400112
633414544252400240
72102510210413242
oct224457343501740
940134823432716
1010211210200032
113287605a52446
12118b001776080
13590bb3abac4a
14274321d9a092
1512a93c627e8c
hex9497b8e83e0

10211210200032 has 96 divisors (see below), whose sum is σ = 26914776505344. Its totient is φ = 3389743756800.

The previous prime is 10211210200031. The next prime is 10211210200049. The reversal of 10211210200032 is 23000201211201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10211210199984 and 10211210200020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211210200031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33196057 + ... + 33502247.

It is an arithmetic number, because the mean of its divisors is an integer number (280362255264).

Almost surely, 210211210200032 is an apocalyptic number.

10211210200032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10211210200032 is an abundant number, since it is smaller than the sum of its proper divisors (16703566305312).

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

10211210200032 is a wasteful number, since it uses less digits than its factorization.

10211210200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307632 (or 307624 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10211210200032 its reverse (23000201211201), we get a palindrome (33211411411233).

The spelling of 10211210200032 in words is "ten trillion, two hundred eleven billion, two hundred ten million, two hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 311 622 933 1117 1244 1866 2234 2488 3351 3732 4468 4976 6702 7464 8936 9952 13404 14928 17872 26808 29856 35744 53616 107232 306191 347387 612382 694774 918573 1042161 1224764 1389548 1837146 2084322 2449528 2779096 3674292 4168644 4899056 5558192 7348584 8337288 9798112 11116384 14697168 16674576 29394336 33349152 95225401 190450802 285676203 342015347 380901604 571352406 684030694 761803208 1026046041 1142704812 1368061388 1523606416 2052092082 2285409624 2736122776 3047212832 4104184164 4570819248 5472245552 8208368328 9141638496 10944491104 16416736656 32833473312 106366772917 212733545834 319100318751 425467091668 638200637502 850934183336 1276401275004 1701868366672 2552802550008 3403736733344 5105605100016 10211210200032