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1102041072 = 243311317481
BaseRepresentation
bin100000110101111…
…1100111111110000
32211210200111011000
41001223330333300
54224110303242
6301204322000
736211123506
oct10153747760
92753614130
101102041072
11516089850
122690a3300
13147416a12
14a6510676
1566b3aa4c
hex41afcff0

1102041072 has 160 divisors (see below), whose sum is σ = 3562629120. Its totient is φ = 323136000.

The previous prime is 1102041071. The next prime is 1102041089. The reversal of 1102041072 is 2701402011.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102041071) 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, 143572 + ... + 151052.

It is an arithmetic number, because the mean of its divisors is an integer number (22266432).

Almost surely, 21102041072 is an apocalyptic number.

1102041072 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 1102041072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781314560).

1102041072 is an abundant number, since it is smaller than the sum of its proper divisors (2460588048).

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

1102041072 is a wasteful number, since it uses less digits than its factorization.

1102041072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7540 (or 7528 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1102041072 is about 33197.0039612011. The cubic root of 1102041072 is about 1032.9181930970.

Adding to 1102041072 its reverse (2701402011), we get a palindrome (3803443083).

The spelling of 1102041072 in words is "one billion, one hundred two million, forty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 33 36 44 48 54 62 66 72 88 93 99 108 124 132 144 176 186 198 216 248 264 279 297 341 372 396 432 496 528 558 594 682 744 792 837 1023 1116 1188 1364 1488 1584 1674 2046 2232 2376 2728 3069 3348 4092 4464 4752 5456 6138 6696 7481 8184 9207 12276 13392 14962 16368 18414 22443 24552 29924 36828 44886 49104 59848 67329 73656 82291 89772 119696 134658 147312 164582 179544 201987 231911 246873 269316 329164 359088 403974 463822 493746 538632 658328 695733 740619 807948 927644 987492 1077264 1316656 1391466 1481238 1615896 1855288 1974984 2087199 2221857 2551021 2782932 2962476 3231792 3710576 3949968 4174398 4443714 5102042 5565864 5924952 6261597 7653063 8348796 8887428 10204084 11131728 11849904 12523194 15306126 16697592 17774856 20408168 22959189 25046388 30612252 33395184 35549712 40816336 45918378 50092776 61224504 68877567 91836756 100185552 122449008 137755134 183673512 275510268 367347024 551020536 1102041072