Search a number
-
+
1101000201220 = 2252935314533701
BaseRepresentation
bin10000000001011000101…
…110011101010000000100
310220020212121010020212101
4100001120232131100010
5121014322022414340
62201443103201444
7142354545204043
oct20013056352004
93806777106771
101101000201220
11394a27a01a77
1215946a8a6284
137ca93085c0a
143b40826855a
151d98d6c1c9a
hex10058b9d404

1101000201220 has 96 divisors (see below), whose sum is σ = 2400903076320. Its totient is φ = 423602995200.

The previous prime is 1101000201199. The next prime is 1101000201263. The reversal of 1101000201220 is 221020001011.

It can be written as a sum of positive squares in 16 ways, for example, as 58983893956 + 1042016307264 = 242866^2 + 1020792^2 .

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 = 1101000201197 and 1101000201206.

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, 297485370 + ... + 297489070.

It is an arithmetic number, because the mean of its divisors is an integer number (25009407045).

Almost surely, 21101000201220 is an apocalyptic number.

1101000201220 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 1101000201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200451538160).

1101000201220 is an abundant number, since it is smaller than the sum of its proper divisors (1299902875100).

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

1101000201220 is a wasteful number, since it uses less digits than its factorization.

1101000201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5545 (or 5543 counting only the distinct ones).

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

Adding to 1101000201220 its reverse (221020001011), we get a palindrome (1322020202231).

The spelling of 1101000201220 in words is "one trillion, one hundred one billion, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 353 580 706 1412 1453 1765 2906 3530 3701 5812 7060 7265 7402 10237 14530 14804 18505 20474 29060 37010 40948 42137 51185 74020 84274 102370 107329 168548 204740 210685 214658 421370 429316 512909 536645 842740 1025818 1073290 1306453 2051636 2146580 2564545 2612906 5129090 5225812 5377553 6532265 10258180 10755106 13064530 14874361 21510212 26129060 26887765 29748722 37887137 53775530 59497444 74371805 75774274 107551060 148743610 151548548 155949037 189435685 297487220 311898074 378871370 623796148 757742740 779745185 1559490370 1898276209 3118980740 3796552418 7593104836 9491381045 18982762090 37965524180 55050010061 110100020122 220200040244 275250050305 550500100610 1101000201220