Search a number
-
+
1020019201110 = 23357213431071289
BaseRepresentation
bin11101101011111011110…
…00011101010001010110
310121111211220002012201000
432311331320131101112
5113202444403413420
62100331303244130
7133460012103600
oct16657570352126
93544756065630
101020019201110
11363651279aa8
1214582a449646
1375258937080
14375250ca170
151b7ee026690
hexed7de1d456

1020019201110 has 768 divisors, whose sum is σ = 3522098764800. Its totient is φ = 208081778688.

The previous prime is 1020019201079. The next prime is 1020019201151. The reversal of 1020019201110 is 111029100201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 791325346 + ... + 791326634.

It is an arithmetic number, because the mean of its divisors is an integer number (4586066100).

Almost surely, 21020019201110 is an apocalyptic number.

1020019201110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020019201110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761049382400).

1020019201110 is an abundant number, since it is smaller than the sum of its proper divisors (2502079563690).

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

1020019201110 is a wasteful number, since it uses less digits than its factorization.

1020019201110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 1020019201110 in words is "one trillion, twenty billion, nineteen million, two hundred one thousand, one hundred ten".