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1011000210220 = 22571113199292861
BaseRepresentation
bin11101011011001000100…
…11101111001100101100
310120122120100021000002101
432231210103233030230
5113031012023211340
62052240323104444
7133020345665530
oct16554423571454
93518510230071
101011000210220
1135a843297720
12143b31b12124
137444c267a80
1436d0b36dbc0
151b472347c9a
hexeb644ef32c

1011000210220 has 384 divisors, whose sum is σ = 3004907673600. Its totient is φ = 275175014400.

The previous prime is 1011000210211. The next prime is 1011000210247. The reversal of 1011000210220 is 220120001101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1011000210197 and 1011000210206.

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, 353371590 + ... + 353374450.

It is an arithmetic number, because the mean of its divisors is an integer number (7825280400).

Almost surely, 21011000210220 is an apocalyptic number.

1011000210220 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 1011000210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502453836800).

1011000210220 is an abundant number, since it is smaller than the sum of its proper divisors (1993907463380).

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

1011000210220 is a wasteful number, since it uses less digits than its factorization.

1011000210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3849 (or 3847 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1011000210220 its reverse (220120001101), we get a palindrome (1231120211321).

The spelling of 1011000210220 in words is "one trillion, eleven billion, two hundred ten thousand, two hundred twenty".