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2123333113032 = 2332294392316451
BaseRepresentation
bin11110111001100000100…
…001000001010011001000
321111222200201212010222100
4132321200201001103020
5234242041234104112
64303240141353400
7306256113445125
oct36714041012310
97458621763870
102123333113032
1174955620707a
122a3623b68860
131252ca155971
1474aac75174c
153a3758c72dc
hex1ee608414c8

2123333113032 has 96 divisors (see below), whose sum is σ = 5962547448000. Its totient is φ = 681814627200.

The previous prime is 2123333112961. The next prime is 2123333113073. The reversal of 2123333113032 is 2303113333212.

2123333113032 is a `hidden beast` number, since 2 + 1 + 23 + 3 + 331 + 1 + 303 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2123333112987 and 2123333113005.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241594 + ... + 2074857.

It is an arithmetic number, because the mean of its divisors is an integer number (62109869250).

Almost surely, 22123333113032 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 2123333113032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981273724000).

2123333113032 is an abundant number, since it is smaller than the sum of its proper divisors (3839214334968).

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

2123333113032 is a wasteful number, since it uses less digits than its factorization.

2123333113032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316931 (or 2316924 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 2123333113032 its reverse (2303113333212), we get a palindrome (4426446446244).

The spelling of 2123333113032 in words is "two trillion, one hundred twenty-three billion, three hundred thirty-three million, one hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 439 522 696 878 1044 1317 1756 2088 2634 3512 3951 5268 7902 10536 12731 15804 25462 31608 38193 50924 76386 101848 114579 152772 229158 305544 458316 916632 2316451 4632902 6949353 9265804 13898706 18531608 20848059 27797412 41696118 55594824 67177079 83392236 134354158 166784472 201531237 268708316 403062474 537416632 604593711 806124948 1016921989 1209187422 1612249896 2033843978 2418374844 3050765967 4067687956 4836749688 6101531934 8135375912 9152297901 12203063868 18304595802 24406127736 29490737681 36609191604 58981475362 73218383208 88472213043 117962950724 176944426086 235925901448 265416639129 353888852172 530833278258 707777704344 1061666556516 2123333113032