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10021212200013 = 3717711732285323
BaseRepresentation
bin1001000111010011111011…
…0010110001110001001101
31022111000111111201122212220
42101310332302301301031
52303141420310400023
633151403100045553
72053002660151110
oct221647662616115
938430444648786
1010021212200013
113213a77041933
12115a2178338b9
13578cc4a09671
1426905a3dc577
15125a1c3093e3
hex91d3ecb1c4d

10021212200013 has 64 divisors (see below), whose sum is σ = 16491190505472. Its totient is φ = 5282933160960.

The previous prime is 10021212200011. The next prime is 10021212200023. The reversal of 10021212200013 is 31000221212001.

It is not a de Polignac number, because 10021212200013 - 21 = 10021212200011 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10021212199965 and 10021212200001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021212200011) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3242370 + ... + 5527692.

It is an arithmetic number, because the mean of its divisors is an integer number (257674851648).

Almost surely, 210021212200013 is an apocalyptic number.

It is an amenable number.

10021212200013 is a deficient number, since it is larger than the sum of its proper divisors (6469978305459).

10021212200013 is a wasteful number, since it uses less digits than its factorization.

10021212200013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285594.

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

Adding to 10021212200013 its reverse (31000221212001), we get a palindrome (41021433412014).

The spelling of 10021212200013 in words is "ten trillion, twenty-one billion, two hundred twelve million, two hundred thousand, thirteen".

Divisors: 1 3 7 17 21 51 71 119 173 213 357 497 519 1207 1211 1491 2941 3621 3633 8449 8823 12283 20587 25347 36849 61761 85981 208811 257943 626433 1461677 2285323 4385031 6855969 15997261 38850491 47991783 116551473 162257933 271953437 395360879 486773799 815860311 1135805531 1186082637 2758384861 2767526153 3407416593 6721134943 8275154583 8302578459 19308694027 20163404829 28070622409 47047944601 57926082081 84211867227 141143833803 196494356863 477200580953 589483070589 1431601742859 3340404066671 10021212200013