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1023113233002 = 23736121433803
BaseRepresentation
bin11101110001101100100…
…11010000001001101010
310121210211112001022112210
432320312103100021222
5113230313441424002
62102002311145550
7133626461664000
oct16706623201152
93553745038483
101023113233002
11364999824a53
121463526752b6
137562c952783
1437739daca70
151b93099196c
hexee364d026a

1023113233002 has 128 divisors (see below), whose sum is σ = 2427158937600. Its totient is φ = 287316227520.

The previous prime is 1023113232997. The next prime is 1023113233007. The reversal of 1023113233002 is 2003323113201.

It is an interprime number because it is at equal distance from previous prime (1023113232997) and next prime (1023113233007).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1023113233002.

It is not an unprimeable number, because it can be changed into a prime (1023113233007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269026033 + ... + 269029835.

It is an arithmetic number, because the mean of its divisors is an integer number (18962179200).

Almost surely, 21023113233002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023113233002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213579468800).

1023113233002 is an abundant number, since it is smaller than the sum of its proper divisors (1404045704598).

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

1023113233002 is a wasteful number, since it uses less digits than its factorization.

1023113233002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6033 (or 6019 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1023113233002 its reverse (2003323113201), we get a palindrome (3026436346203).

The spelling of 1023113233002 in words is "one trillion, twenty-three billion, one hundred thirteen million, two hundred thirty-three thousand, two".

Divisors: 1 2 3 6 7 14 21 42 49 61 98 122 147 183 294 343 366 427 686 854 1029 1281 2058 2143 2562 2989 3803 4286 5978 6429 7606 8967 11409 12858 15001 17934 20923 22818 26621 30002 41846 45003 53242 62769 79863 90006 105007 125538 130723 159726 186347 210014 231983 261446 315021 372694 392169 463966 559041 630042 695949 735049 784338 915061 1118082 1304429 1391898 1470098 1623881 1830122 2205147 2608858 2745183 3247762 3913287 4410294 4871643 5490366 6405427 7826574 8149829 9743286 11367167 12810854 16299658 19216281 22734334 24449487 34101501 38432562 44837989 48898974 57048803 68203002 79570169 89675978 114097606 134513967 159140338 171146409 238710507 269027934 342292818 399341621 477421014 497139569 798683242 994279138 1198024863 1491418707 2396049726 2795391347 2982837414 3479976983 5590782694 6959953966 8386174041 10439930949 16772348082 20879861898 24359838881 48719677762 73079516643 146159033286 170518872167 341037744334 511556616501 1023113233002