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30101022000 = 2432537238897
BaseRepresentation
bin11100000010001010…
…010010010100110000
32212200210101100111200
4130002022102110300
5443121330201000
621454521211200
72113634315430
oct340212222460
985623340450
1030101022000
1111847273395
125a00930b00
132ab92a5b2a
141657a242c0
15bb2931500
hex702292530

30101022000 has 240 divisors, whose sum is σ = 120152315712. Its totient is φ = 6880204800.

The previous prime is 30101021989. The next prime is 30101022011. The reversal of 30101022000 is 22010103.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30101021989) and next prime (30101022011).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6552 + ... + 245448.

Almost surely, 230101022000 is an apocalyptic number.

30101022000 is a gapful number since it is divisible by the number (30) 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 30101022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60076157856).

30101022000 is an abundant number, since it is smaller than the sum of its proper divisors (90051293712).

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

30101022000 is a wasteful number, since it uses less digits than its factorization.

30101022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238933 (or 238914 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 30101022000 its reverse (22010103), we get a palindrome (30123032103).

The spelling of 30101022000 in words is "thirty billion, one hundred one million, twenty-two thousand".