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2212031001420 = 223253773103163271
BaseRepresentation
bin100000001100000111010…
…100100111001101001100
321211110122020120201202200
4200030013110213031030
5242220214414021140
64412105405121500
7315546122164662
oct40140724471514
97743566521680
102212031001420
11783131918469
122b8858859290
13130794280aa6
14790c473cc32
153c817798030
hex2030752734c

2212031001420 has 576 divisors, whose sum is σ = 7122854129664. Its totient is φ = 555079495680.

The previous prime is 2212031001419. The next prime is 2212031001451. The reversal of 2212031001420 is 241001302122.

It is a happy number.

2212031001420 is a `hidden beast` number, since 2 + 212 + 0 + 31 + 0 + 0 + 1 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2212031001393 and 2212031001402.

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 191 ways as a sum of consecutive naturals, for example, 8162475885 + ... + 8162476155.

Almost surely, 22212031001420 is an apocalyptic number.

2212031001420 is a gapful number since it is divisible by the number (20) 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 2212031001420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3561427064832).

2212031001420 is an abundant number, since it is smaller than the sum of its proper divisors (4910823128244).

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

2212031001420 is a wasteful number, since it uses less digits than its factorization.

2212031001420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2212031001420 its reverse (241001302122), we get a palindrome (2453032303542).

The spelling of 2212031001420 in words is "two trillion, two hundred twelve billion, thirty-one million, one thousand, four hundred twenty".