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2131221202110 = 232571113374314869
BaseRepresentation
bin11111000000110110101…
…011101100010010111110
321112202001110200120221200
4133000312223230102332
5234404220111431420
64311023002440330
7306655435214310
oct37006653542276
97482043616850
102131221202110
11751933898160
122a50658030a6
13125c864449b0
147521a2077b0
153a688168b90
hex1f036aec4be

2131221202110 has 768 divisors, whose sum is σ = 7819200829440. Its totient is φ = 388461588480.

The previous prime is 2131221202057. The next prime is 2131221202111. The reversal of 2131221202110 is 112021221312.

2131221202110 is a `hidden beast` number, since 2 + 131 + 221 + 202 + 110 = 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 (2131221202111) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 143325756 + ... + 143340624.

It is an arithmetic number, because the mean of its divisors is an integer number (10181251080).

Almost surely, 22131221202110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131221202110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3909600414720).

2131221202110 is an abundant number, since it is smaller than the sum of its proper divisors (5687979627330).

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

2131221202110 is a wasteful number, since it uses less digits than its factorization.

2131221202110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14993 (or 14990 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2131221202110 its reverse (112021221312), we get a palindrome (2243242423422).

It can be divided in two parts, 2131221202 and 110, that added together give a palindrome (2131221312).

The spelling of 2131221202110 in words is "two trillion, one hundred thirty-one billion, two hundred twenty-one million, two hundred two thousand, one hundred ten".