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1011121092 = 2232436411019
BaseRepresentation
bin111100010001000…
…111101111000100
32121110121021101100
4330101013233010
54032321333332
6244155500100
734025246622
oct7421075704
92543537340
101011121092
1147982a273
12242757630
13131632107
1498404512
155db7b67c
hex3c447bc4

1011121092 has 72 divisors (see below), whose sum is σ = 2621979360. Its totient is φ = 328366080.

The previous prime is 1011121091. The next prime is 1011121093. The reversal of 1011121092 is 2901211101.

It is a happy number.

1011121092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1011121091) and next prime (1011121093).

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

It is not an unprimeable number, because it can be changed into a prime (1011121091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 991759 + ... + 992777.

It is an arithmetic number, because the mean of its divisors is an integer number (36416380).

Almost surely, 21011121092 is an apocalyptic number.

1011121092 is a gapful number since it is divisible by the number (12) 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 1011121092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310989680).

1011121092 is an abundant number, since it is smaller than the sum of its proper divisors (1610858268).

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

1011121092 is a wasteful number, since it uses less digits than its factorization.

1011121092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The square root of 1011121092 is about 31798.1303223947. The cubic root of 1011121092 is about 1003.6933728697.

Adding to 1011121092 its reverse (2901211101), we get a palindrome (3912332193).

The spelling of 1011121092 in words is "one billion, eleven million, one hundred twenty-one thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 641 774 1019 1282 1548 1923 2038 2564 3057 3846 4076 5769 6114 7692 9171 11538 12228 18342 23076 27563 36684 43817 55126 82689 87634 110252 131451 165378 175268 248067 262902 330756 394353 496134 525804 653179 788706 992268 1306358 1577412 1959537 2612716 3919074 5878611 7838148 11757222 23514444 28086697 56173394 84260091 112346788 168520182 252780273 337040364 505560546 1011121092