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1001012210220 = 22351137201720323
BaseRepresentation
bin11101001000100001111…
…10100010101000101100
310112200210021002000212110
432210100332202220230
5112400033111211340
62043505245404020
7132215005253151
oct16442076425054
93480707060773
101001012210220
11356588329470
12142004b69610
1373519bbc5b9
1436640a52228
151b08a55a680
hexe910fa2a2c

1001012210220 has 192 divisors, whose sum is σ = 3141987641856. Its totient is φ = 235982315520.

The previous prime is 1001012210203. The next prime is 1001012210221. The reversal of 1001012210220 is 220122101001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1001012210196 and 1001012210205.

It is not an unprimeable number, because it can be changed into a prime (1001012210221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49244979 + ... + 49265301.

It is an arithmetic number, because the mean of its divisors is an integer number (16364518968).

Almost surely, 21001012210220 is an apocalyptic number.

1001012210220 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 1001012210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570993820928).

1001012210220 is an abundant number, since it is smaller than the sum of its proper divisors (2140975431636).

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

1001012210220 is a wasteful number, since it uses less digits than its factorization.

1001012210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22400 (or 22398 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1001012210220 its reverse (220122101001), we get a palindrome (1221134311221).

The spelling of 1001012210220 in words is "one trillion, one billion, twelve million, two hundred ten thousand, two hundred twenty".