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1002020102200 = 23521323160710427
BaseRepresentation
bin11101001010011010000…
…11010110000000111000
310112210101111121020202001
432211031003112000320
5112404114121232300
62044153252150344
7132251664223555
oct16451503260070
93483344536661
101002020102200
11356a55252647
121422466083b4
137364a9609a0
14366d8855a2c
151b0e8c9a16a
hexe94d0d6038

1002020102200 has 192 divisors, whose sum is σ = 2619867317760. Its totient is φ = 353636574720.

The previous prime is 1002020102191. The next prime is 1002020102243. The reversal of 1002020102200 is 22010202001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96093387 + ... + 96103813.

It is an arithmetic number, because the mean of its divisors is an integer number (13645142280).

Almost surely, 21002020102200 is an apocalyptic number.

1002020102200 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 1002020102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309933658880).

1002020102200 is an abundant number, since it is smaller than the sum of its proper divisors (1617847215560).

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

1002020102200 is a wasteful number, since it uses less digits than its factorization.

1002020102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12086 (or 12077 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1002020102200 its reverse (22010202001), we get a palindrome (1024030304201).

The spelling of 1002020102200 in words is "one trillion, two billion, twenty million, one hundred two thousand, two hundred".