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21142150260 = 2235711131181193
BaseRepresentation
bin10011101100001010…
…111001110001110100
32000120102200111212020
4103230022321301310
5321244342302020
613413525353140
71345631212020
oct235412716164
960512614766
1021142150260
118a6a213460
1241205687b0
131cbc1c5aaa
141047c77380
1583b17ac40
hex4ec2b9c74

21142150260 has 384 divisors, whose sum is σ = 75167059968. Its totient is φ = 4313088000.

The previous prime is 21142150219. The next prime is 21142150277. The reversal of 21142150260 is 6205124112.

It is a self number, because there is not a number n which added to its sum of digits gives 21142150260.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 109544724 + ... + 109544916.

It is an arithmetic number, because the mean of its divisors is an integer number (195747552).

Almost surely, 221142150260 is an apocalyptic number.

21142150260 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 21142150260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37583529984).

21142150260 is an abundant number, since it is smaller than the sum of its proper divisors (54024909708).

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

21142150260 is a wasteful number, since it uses less digits than its factorization.

21142150260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 21142150260 its reverse (6205124112), we get a palindrome (27347274372).

The spelling of 21142150260 in words is "twenty-one billion, one hundred forty-two million, one hundred fifty thousand, two hundred sixty".