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1141022106 = 233710728211
BaseRepresentation
bin100010000000010…
…1001110110011010
32221112000221002000
41010000221312122
54314100201411
6305120021430
740163346030
oct10400516632
92845027060
101141022106
11536093884
1227a161876
13152514813
14ab77a550
156a28a956
hex44029d9a

1141022106 has 64 divisors (see below), whose sum is σ = 2925020160. Its totient is φ = 322948080.

The previous prime is 1141022101. The next prime is 1141022119. The reversal of 1141022106 is 6012201411.

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 (1141022101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26341 + ... + 54551.

It is an arithmetic number, because the mean of its divisors is an integer number (45703440).

Almost surely, 21141022106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141022106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462510080).

1141022106 is an abundant number, since it is smaller than the sum of its proper divisors (1783998054).

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

1141022106 is a wasteful number, since it uses less digits than its factorization.

1141022106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28336 (or 28330 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1141022106 is about 33779.0187246462. The cubic root of 1141022106 is about 1044.9560373133.

Adding to 1141022106 its reverse (6012201411), we get a palindrome (7153223517).

The spelling of 1141022106 in words is "one billion, one hundred forty-one million, twenty-two thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 107 126 189 214 321 378 642 749 963 1498 1926 2247 2889 4494 5778 6741 13482 20223 28211 40446 56422 84633 169266 197477 253899 394954 507798 592431 761697 1184862 1523394 1777293 3018577 3554586 5331879 6037154 9055731 10663758 18111462 21130039 27167193 42260078 54334386 63390117 81501579 126780234 163003158 190170351 380340702 570511053 1141022106