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10142220000 = 25354113127
BaseRepresentation
bin10010111001000010…
…11111111011100000
3222011211101011021210
421130201133323200
5131232402020000
64354222550120
7506222306343
oct113441377340
928154334253
1010142220000
114335023000
121b70738340
13c582c4113
146c2dc445a
153e5602350
hex25c85fee0

10142220000 has 480 divisors, whose sum is σ = 36880994304. Its totient is φ = 2439360000.

The previous prime is 10142219981. The next prime is 10142220019. The reversal of 10142220000 is 2224101.

It is an interprime number because it is at equal distance from previous prime (10142219981) and next prime (10142220019).

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 79859937 + ... + 79860063.

Almost surely, 210142220000 is an apocalyptic number.

10142220000 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 10142220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18440497152).

10142220000 is an abundant number, since it is smaller than the sum of its proper divisors (26738774304).

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

10142220000 is an equidigital number, since it uses as much as digits as its factorization.

10142220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 148 counting only the distinct ones).

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

Adding to 10142220000 its reverse (2224101), we get a palindrome (10144444101).

The spelling of 10142220000 in words is "ten billion, one hundred forty-two million, two hundred twenty thousand".