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1003032012220 = 2257415912723321
BaseRepresentation
bin11101001100010010101…
…11011110010110111100
310112220000000200121022221
432212021113132112330
5112413202143342340
62044441521015124
7132316032300550
oct16461127362674
93486000617287
101003032012220
11357424470617
121424894844a4
137377c4aac04
1436792dc3860
151b157a3044a
hexe9895de5bc

1003032012220 has 192 divisors, whose sum is σ = 2527642091520. Its totient is φ = 327211315200.

The previous prime is 1003032012217. The next prime is 1003032012239. The reversal of 1003032012220 is 222102303001.

It is a junction number, because it is equal to n+sod(n) for n = 1003032012194 and 1003032012203.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 42998160 + ... + 43021480.

It is an arithmetic number, because the mean of its divisors is an integer number (13164802560).

Almost surely, 21003032012220 is an apocalyptic number.

1003032012220 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 1003032012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263821045760).

1003032012220 is an abundant number, since it is smaller than the sum of its proper divisors (1524610079300).

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

1003032012220 is a wasteful number, since it uses less digits than its factorization.

1003032012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23564 (or 23562 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1003032012220 its reverse (222102303001), we get a palindrome (1225134315221).

The spelling of 1003032012220 in words is "one trillion, three billion, thirty-two million, twelve thousand, two hundred twenty".