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1001230300220 = 2253153247712301
BaseRepresentation
bin11101001000111011111…
…10011111010000111100
310112201100110110011002212
432210131332133100330
5112401004424101340
62043543040035552
7132223264063103
oct16443576372074
93481313404085
101001230300220
1135668a447737
12142066002bb8
137355313b837
14366619c303a
151b09e789a65
hexe91df9f43c

1001230300220 has 96 divisors (see below), whose sum is σ = 2212432621056. Its totient is φ = 380075904000.

The previous prime is 1001230300211. The next prime is 1001230300253. The reversal of 1001230300220 is 220030321001.

It is a happy number.

It is a super-2 number, since 2×10012303002202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001230300195 and 1001230300204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81388070 + ... + 81400370.

It is an arithmetic number, because the mean of its divisors is an integer number (23046173136).

Almost surely, 21001230300220 is an apocalyptic number.

1001230300220 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 1001230300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106216310528).

1001230300220 is an abundant number, since it is smaller than the sum of its proper divisors (1211202320836).

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

1001230300220 is a wasteful number, since it uses less digits than its factorization.

1001230300220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14871 (or 14869 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 1001230300220 its reverse (220030321001), we get a palindrome (1221260621221).

The spelling of 1001230300220 in words is "one trillion, one billion, two hundred thirty million, three hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 53 62 106 124 155 212 265 310 530 620 1060 1643 2477 3286 4954 6572 8215 9908 12301 12385 16430 24602 24770 32860 49204 49540 61505 76787 123010 131281 153574 246020 262562 307148 381331 383935 525124 651953 656405 762662 767870 1303906 1312810 1525324 1535740 1906655 2607812 2625620 3259765 3813310 4069711 6519530 7626620 8139422 13039060 16278844 20210543 20348555 30469577 40421086 40697110 60939154 80842172 81394220 101052715 121878308 152347885 202105430 304695770 404210860 609391540 944556887 1614887581 1889113774 3229775162 3778227548 4722784435 6459550324 8074437905 9445568870 16148875810 18891137740 32297751620 50061515011 100123030022 200246060044 250307575055 500615150110 1001230300220