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1121210000001 = 327133797737871
BaseRepresentation
bin10000010100001101010…
…100101110001010000001
310222012001001102101221100
4100110031110232022001
5121332214230000001
62215024325245013
7144001425516150
oct20241524561201
93865031371840
101121210000001
113a25588a6a13
1216136ab63769
1381964068c30
143c3a4363597
151e272a80586
hex1050d52e281

1121210000001 has 96 divisors (see below), whose sum is σ = 2049283611648. Its totient is φ = 574819338240.

The previous prime is 1121209999981. The next prime is 1121210000003. The reversal of 1121210000001 is 1000000121211.

It is a happy number.

It is not a de Polignac number, because 1121210000001 - 27 = 1121209999873 is a prime.

It is a super-2 number, since 2×11212100000012 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1121210000003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29587096 + ... + 29624966.

It is an arithmetic number, because the mean of its divisors is an integer number (21346704288).

Almost surely, 21121210000001 is an apocalyptic number.

It is an amenable number.

1121210000001 is a deficient number, since it is larger than the sum of its proper divisors (928073611647).

1121210000001 is a wasteful number, since it uses less digits than its factorization.

1121210000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38911 (or 38908 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1121210000001 its reverse (1000000121211), we get a palindrome (2121210121212).

The spelling of 1121210000001 in words is "one trillion, one hundred twenty-one billion, two hundred ten million, one", and thus it is an aban number.

Divisors: 1 3 7 9 13 21 37 39 63 91 111 117 259 273 333 481 777 819 977 1443 2331 2931 3367 4329 6839 8793 10101 12701 20517 30303 36149 37871 38103 61551 88907 108447 113613 114309 253043 265097 266721 325341 340839 469937 492323 759129 795291 800163 1401227 1409811 1476969 2277387 2385873 3289559 3446261 4203681 4229433 4430907 9808589 9868677 10338783 12611043 18215951 29425767 29606031 31016349 36999967 54647853 88277301 110999901 127511657 163943559 258999769 332999703 382534971 480999571 776999307 1147604913 1368998779 1442998713 2330997921 3366996997 4106996337 4328996139 9582991453 10100990991 12320989011 17796984127 28748974359 30302972973 53390952381 86246923077 124578888889 160172857143 373736666667 1121210000001