Search a number
-
+
1002103022232 = 23321319202727799
BaseRepresentation
bin11101001010100011111…
…11101010001010011000
310112210121021122000122100
432211101333222022120
5112404301333202412
62044205413323400
7132254022101124
oct16452177521230
93483537560570
101002103022232
11356a980386a4
1214226a336560
1373661ba41b0
143670587c584
151b1011c8edc
hexe951fea298

1002103022232 has 192 divisors, whose sum is σ = 3078260640000. Its totient is φ = 291956389632.

The previous prime is 1002103022231. The next prime is 1002103022269. The reversal of 1002103022232 is 2322203012001.

1002103022232 is a `hidden beast` number, since 100 + 210 + 302 + 22 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002103022231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36034269 + ... + 36062067.

It is an arithmetic number, because the mean of its divisors is an integer number (16032607500).

Almost surely, 21002103022232 is an apocalyptic number.

1002103022232 is a gapful number since it is divisible by the number (12) 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 1002103022232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539130320000).

1002103022232 is an abundant number, since it is smaller than the sum of its proper divisors (2076157617768).

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

1002103022232 is a wasteful number, since it uses less digits than its factorization.

1002103022232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29870 (or 29863 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1002103022232 its reverse (2322203012001), we get a palindrome (3324306034233).

The spelling of 1002103022232 in words is "one trillion, two billion, one hundred three million, twenty-two thousand, two hundred thirty-two".