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101222022000 = 2435311972163
BaseRepresentation
bin101111001000101001…
…1010111101101110000
3100200021100002111021210
41132101103113231300
53124300314201000
6114300055120120
710212242663601
oct1362123275560
9320240074253
10101222022000
1139a23213340
121774b073040
139711a44798
144c83483da8
152976675350
hex17914d7b70

101222022000 has 480 divisors, whose sum is σ = 361921906944. Its totient is φ = 24136704000.

The previous prime is 101222021983. The next prime is 101222022029. The reversal of 101222022000 is 220222101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 620993919 + ... + 620994081.

Almost surely, 2101222022000 is an apocalyptic number.

101222022000 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 101222022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180960953472).

101222022000 is an abundant number, since it is smaller than the sum of its proper divisors (260699884944).

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

101222022000 is a wasteful number, since it uses less digits than its factorization.

101222022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 101222022000 its reverse (220222101), we get a palindrome (101442244101).

The spelling of 101222022000 in words is "one hundred one billion, two hundred twenty-two million, twenty-two thousand".