Search a number
-
+
20100122100210 = 2352521265769167
BaseRepresentation
bin1001001000111111011001…
…01000110100000111110010
32122011112221001212011220110
410210133230220310013302
510113310022224201320
6110425511342122150
74143120522566445
oct444375450640762
978145831764813
1020100122100210
11644a460a098a9
122307656280356
13b2a5831a4309
144d6bcb5c365c
1524ccb4b8d5e0
hex1247eca341f2

20100122100210 has 32 divisors (see below), whose sum is σ = 48259428602112. Its totient is φ = 5357906386560.

The previous prime is 20100122100169. The next prime is 20100122100217. The reversal of 20100122100210 is 1200122100102.

It is a super-3 number, since 3×201001221002103 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (20100122100217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132808954 + ... + 132960213.

It is an arithmetic number, because the mean of its divisors is an integer number (1508107143816).

Almost surely, 220100122100210 is an apocalyptic number.

20100122100210 is an abundant number, since it is smaller than the sum of its proper divisors (28159306501902).

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

20100122100210 is a wasteful number, since it uses less digits than its factorization.

20100122100210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265771698.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20100122100210 its reverse (1200122100102), we get a palindrome (21300244200312).

The spelling of 20100122100210 in words is "twenty trillion, one hundred billion, one hundred twenty-two million, one hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 2521 5042 7563 12605 15126 25210 37815 75630 265769167 531538334 797307501 1328845835 1594615002 2657691670 3986537505 7973075010 670004070007 1340008140014 2010012210021 3350020350035 4020024420042 6700040700070 10050061050105 20100122100210