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1002111121 = 111753101111
BaseRepresentation
bin111011101110110…
…000000010010001
32120211122112000201
4323232300002101
54023020023441
6243234415201
733555542524
oct7356600221
92524575021
101002111121
11474735a10
1223b731501
1312c7c907b
149713abbb
155ce9bc31
hex3bbb0091

1002111121 has 16 divisors (see below), whose sum is σ = 1179370368. Its totient is φ = 841235200.

The previous prime is 1002111109. The next prime is 1002111139. The reversal of 1002111121 is 1211112001.

It is a cyclic number.

It is not a de Polignac number, because 1002111121 - 213 = 1002102929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002111098 and 1002111107.

It is not an unprimeable number, because it can be changed into a prime (1002111151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40645 + ... + 60466.

It is an arithmetic number, because the mean of its divisors is an integer number (73710648).

Almost surely, 21002111121 is an apocalyptic number.

1002111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002111121 is a deficient number, since it is larger than the sum of its proper divisors (177259247).

1002111121 is a wasteful number, since it uses less digits than its factorization.

1002111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101192.

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 1002111121 is about 31656.1387569615. The cubic root of 1002111121 is about 1000.7032123764.

Adding to 1002111121 its reverse (1211112001), we get a palindrome (2213223122).

The spelling of 1002111121 in words is "one billion, two million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 11 17 53 187 583 901 9911 101111 1112221 1718887 5358883 18907757 58947713 91101011 1002111121