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11111002101992 = 2313271354732633
BaseRepresentation
bin1010000110101111101101…
…0101010101100011101000
31110100012102211200201012002
42201223323111111203220
52424020313014230432
635344153543510132
72224512663401042
oct241537325254350
943305384621162
1011111002101992
1135a4171029091
1212b5478158348
136279bc415b00
142a5abd892a92
1514405174ae62
hexa1afb5558e8

11111002101992 has 96 divisors (see below), whose sum is σ = 22883832780480. Its totient is φ = 5054346984960.

The previous prime is 11111002101923. The next prime is 11111002102001. The reversal of 11111002101992 is 29910120011111.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 340467308 + ... + 340499940.

It is an arithmetic number, because the mean of its divisors is an integer number (238373258130).

Almost surely, 211111002101992 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 11111002101992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11441916390240).

11111002101992 is an abundant number, since it is smaller than the sum of its proper divisors (11772830678488).

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

11111002101992 is a wasteful number, since it uses less digits than its factorization.

11111002101992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36283 (or 36266 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 29.

The spelling of 11111002101992 in words is "eleven trillion, one hundred eleven billion, two million, one hundred one thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 26 52 71 104 142 169 284 338 568 676 923 1352 1846 3547 3692 7094 7384 11999 14188 23998 28376 32633 46111 47996 65266 92222 95992 130532 184444 251837 261064 368888 424229 503674 599443 848458 1007348 1198886 1696916 2014696 2316943 2397772 3273881 3393832 4633886 4795544 5514977 6547762 9267772 11029954 13095524 18535544 22059908 26191048 30120259 42560453 44119816 60240518 85120906 115749251 120481036 170241812 231498502 240962072 340483624 391563367 462997004 783126734 925994008 1504740263 1566253468 3009480526 3132506936 6018961052 8218196821 12037922104 16436393642 19561623419 32872787284 39123246838 65745574568 78246493676 106836558673 156492987352 213673117346 427346234692 854692469384 1388875262749 2777750525498 5555501050996 11111002101992