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1121029336 = 237192947773
BaseRepresentation
bin100001011010001…
…1000110011011000
32220010102012011001
41002310120303120
54243440414321
6303123314344
736531410050
oct10264306330
92803365131
101121029336
11525878a29
1227351b9b4
1314b33478b
14a8c54560
156863bc91
hex42d18cd8

1121029336 has 128 divisors (see below), whose sum is σ = 2674944000. Its totient is φ = 429553152.

The previous prime is 1121029333. The next prime is 1121029369. The reversal of 1121029336 is 6339201211.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121029333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1449846 + ... + 1450618.

It is an arithmetic number, because the mean of its divisors is an integer number (20898000).

Almost surely, 21121029336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121029336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337472000).

1121029336 is an abundant number, since it is smaller than the sum of its proper divisors (1553914664).

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

1121029336 is a wasteful number, since it uses less digits than its factorization.

1121029336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 1121029336 is about 33481.7761774969. The cubic root of 1121029336 is about 1038.8168670701.

The spelling of 1121029336 in words is "one billion, one hundred twenty-one million, twenty-nine thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 19 28 29 38 47 56 58 76 94 116 133 152 188 203 232 266 329 376 406 532 551 658 773 812 893 1064 1102 1316 1363 1546 1624 1786 2204 2632 2726 3092 3572 3857 4408 5411 5452 6184 6251 7144 7714 9541 10822 10904 12502 14687 15428 19082 21644 22417 25004 25897 29374 30856 36331 38164 43288 44834 50008 51794 58748 72662 76328 89668 102809 103588 117496 145324 156919 179336 181279 205618 207176 254317 290648 313838 362558 411236 425923 508634 627676 690289 725116 822472 851846 1017268 1053599 1255352 1380578 1450232 1703692 2034536 2107198 2761156 2981461 3407384 4214396 4832023 5522312 5962922 7375193 8428792 9664046 11925844 14750386 19328092 20018381 23851688 29500772 38656184 40036762 59001544 80073524 140128667 160147048 280257334 560514668 1121029336