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1101381210 = 2325172572801
BaseRepresentation
bin100000110100101…
…1011111001011010
32211202102221222200
41001221123321122
54223423144320
6301142231030
736202404636
oct10151337132
92752387880
101101381210
11515779006
12268a25476
13147245577
14a63bbdc6
1566a5a290
hex41a5be5a

1101381210 has 96 divisors (see below), whose sum is σ = 3044922192. Its totient is φ = 275251200.

The previous prime is 1101381191. The next prime is 1101381241. The reversal of 1101381210 is 121831011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 954995409 + 146385801 = 30903^2 + 12099^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391810 + ... + 394610.

Almost surely, 21101381210 is an apocalyptic number.

1101381210 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 1101381210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522461096).

1101381210 is an abundant number, since it is smaller than the sum of its proper divisors (1943540982).

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

1101381210 is a wasteful number, since it uses less digits than its factorization.

1101381210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 1101381210 is about 33187.0638954397. The cubic root of 1101381210 is about 1032.7119940229.

The spelling of 1101381210 in words is "one billion, one hundred one million, three hundred eighty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 257 306 510 514 765 771 1285 1530 1542 2313 2570 2801 3855 4369 4626 5602 7710 8403 8738 11565 13107 14005 16806 21845 23130 25209 26214 28010 39321 42015 43690 47617 50418 65535 78642 84030 95234 126045 131070 142851 196605 238085 252090 285702 393210 428553 476170 714255 719857 857106 1428510 1439714 2142765 2159571 3599285 4285530 4319142 6478713 7198570 10797855 12237569 12957426 21595710 24475138 32393565 36712707 61187845 64787130 73425414 110138121 122375690 183563535 220276242 367127070 550690605 1101381210