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122020211010009 = 313172635771212793
BaseRepresentation
bin11011101111101000001011…
…010101010010100111011001
3121000001000111022012120110210
4123233220023111102213121
5111443134343004310014
61111303151110001333
734462445402350524
oct3357501325224731
9530030438176423
10122020211010009
1135974532066a54
1211828401946249
1353115c1ca9460
14221bb49c51bbb
15e1905bb80859
hex6efa0b5529d9

122020211010009 has 64 divisors (see below), whose sum is σ = 186543163344384. Its totient is φ = 70281548660736.

The previous prime is 122020211009953. The next prime is 122020211010067. The reversal of 122020211010009 is 900010112020221.

It is not a de Polignac number, because 122020211010009 - 219 = 122020210485721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122020211010409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100004517 + ... + 101217309.

It is an arithmetic number, because the mean of its divisors is an integer number (2914736927256).

Almost surely, 2122020211010009 is an apocalyptic number.

It is an amenable number.

122020211010009 is a deficient number, since it is larger than the sum of its proper divisors (64522952334375).

122020211010009 is a wasteful number, since it uses less digits than its factorization.

122020211010009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213666.

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 122020211010009 in words is "one hundred twenty-two trillion, twenty billion, two hundred eleven million, ten thousand, nine".

Divisors: 1 3 13 17 39 51 221 263 577 663 789 1731 3419 4471 7501 9809 10257 13413 22503 29427 58123 127517 151751 174369 382551 455253 1212793 1972763 2579767 3638379 5918289 7739301 15766309 20617481 33536971 47298927 61852443 100610913 268027253 318964559 699781561 804081759 956893677 2099344683 4146539267 5422397503 9097160293 11896286537 12439617801 16267192509 27291480879 35688859611 70491167539 154651724981 184042550543 211473502617 463955174943 552127651629 2392553157059 3128723359231 7177659471177 9386170077693 40673403670003 122020211010009