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1002230140120 = 2351123115314363
BaseRepresentation
bin11101001010110011001…
…00100100110011011000
310112210221010211021121021
432211121210210303120
5112410031403440440
62044230154052224
7132260124426166
oct16453144446330
93483833737537
101002230140120
11357052871200
121422a4a1a074
1373682320b91
14367186cc236
151b10c43884a
hexe959924cd8

1002230140120 has 192 divisors, whose sum is σ = 2560870609920. Its totient is φ = 352379808000.

The previous prime is 1002230140099. The next prime is 1002230140123. The reversal of 1002230140120 is 210410322001.

It is a super-2 number, since 2×10022301401202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002230140094 and 1002230140103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002230140123) 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 47 ways as a sum of consecutive naturals, for example, 229709059 + ... + 229713421.

It is an arithmetic number, because the mean of its divisors is an integer number (13337867760).

Almost surely, 21002230140120 is an apocalyptic number.

1002230140120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002230140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280435304960).

1002230140120 is an abundant number, since it is smaller than the sum of its proper divisors (1558640469800).

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

1002230140120 is a wasteful number, since it uses less digits than its factorization.

1002230140120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5958 (or 5943 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1002230140120 its reverse (210410322001), we get a palindrome (1212640462121).

The spelling of 1002230140120 in words is "one trillion, two billion, two hundred thirty million, one hundred forty thousand, one hundred twenty".