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2130010111220 = 2251377731005661
BaseRepresentation
bin11110111111101110011…
…111101111110011110100
321112121221001210210120112
4132333232133233303310
5234344230042024340
64310302500522152
7306613431134135
oct36775637576364
97477831723515
102130010111220
117513721a66a2
122a49880b0358
13125b22569274
147514342bc8c
153a616b8c065
hex1efee7efcf4

2130010111220 has 48 divisors (see below), whose sum is σ = 4511504320848. Its totient is φ = 844690037760.

The previous prime is 2130010111217. The next prime is 2130010111223. The reversal of 2130010111220 is 221110100312.

It is an interprime number because it is at equal distance from previous prime (2130010111217) and next prime (2130010111223).

It can be written as a sum of positive squares in 8 ways, for example, as 92208180964 + 2037801930256 = 303658^2 + 1427516^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2130010111195 and 2130010111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130010111223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1615190 + ... + 2620850.

It is an arithmetic number, because the mean of its divisors is an integer number (93989673351).

Almost surely, 22130010111220 is an apocalyptic number.

2130010111220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2130010111220 is an abundant number, since it is smaller than the sum of its proper divisors (2381494209628).

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

2130010111220 is a wasteful number, since it uses less digits than its factorization.

2130010111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006580 (or 1006578 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 2130010111220 its reverse (221110100312), we get a palindrome (2351120211532).

The spelling of 2130010111220 in words is "two trillion, one hundred thirty billion, ten million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 137 274 548 685 773 1370 1546 2740 3092 3865 7730 15460 105901 211802 423604 529505 1005661 1059010 2011322 2118020 4022644 5028305 10056610 20113220 137775557 275551114 551102228 688877785 777375953 1377755570 1554751906 2755511140 3109503812 3886879765 7773759530 15547519060 106500505561 213001011122 426002022244 532502527805 1065005055610 2130010111220