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10222212210000 = 24354797150131
BaseRepresentation
bin1001010011000000101101…
…0100111101110101010000
31100012020022112201010012020
42110300023110331311100
52314440042311210000
633424004111531440
72103346643100120
oct224601324756520
940166275633166
1010222212210000
11329124133336a
121191172229b80
13591c4826a40b
14274a87230c80
1512ad83462ba0
hex94c0b53dd50

10222212210000 has 400 divisors, whose sum is σ = 37752350980608. Its totient is φ = 2334052800000.

The previous prime is 10222212209971. The next prime is 10222212210011. The reversal of 10222212210000 is 1221222201.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 203884935 + ... + 203935065.

Almost surely, 210222212210000 is an apocalyptic number.

10222212210000 is a gapful number since it is divisible by the number (10) 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 10222212210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18876175490304).

10222212210000 is an abundant number, since it is smaller than the sum of its proper divisors (27530138770608).

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

10222212210000 is an equidigital number, since it uses as much as digits as its factorization.

10222212210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51140 (or 51119 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10222212210000 its reverse (1221222201), we get a palindrome (10223433432201).

The spelling of 10222212210000 in words is "ten trillion, two hundred twenty-two billion, two hundred twelve million, two hundred ten thousand".