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20100220002 = 2325333896217
BaseRepresentation
bin10010101110000100…
…010000010001100010
31220212211002222020200
4102232010100101202
5312131124020002
613122305250030
71311050023332
oct225604202142
956784088220
1020100220002
118585060875
123a8b633916
131b84397605
14d897330c2
157c9965b1c
hex4ae110462

20100220002 has 48 divisors (see below), whose sum is σ = 44392416120. Its totient is φ = 6570660096.

The previous prime is 20100219973. The next prime is 20100220009. The reversal of 20100220002 is 20002200102.

It can be written as a sum of positive squares in 4 ways, for example, as 19642302801 + 457917201 = 140151^2 + 21399^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (20100220009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3229998 + ... + 3236214.

Almost surely, 220100220002 is an apocalyptic number.

20100220002 is an abundant number, since it is smaller than the sum of its proper divisors (24292196118).

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

20100220002 is a wasteful number, since it uses less digits than its factorization.

20100220002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9667 (or 9664 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20100220002 its reverse (20002200102), we get a palindrome (40102420104).

The spelling of 20100220002 in words is "twenty billion, one hundred million, two hundred twenty thousand, two".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 3389 6217 6778 10167 12434 18651 20334 30501 37302 55953 61002 111906 179617 329501 359234 538851 659002 988503 1077702 1616553 1977006 2965509 3233106 5931018 21069413 42138826 63208239 126416478 189624717 379249434 1116678889 2233357778 3350036667 6700073334 10050110001 20100220002