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1121144352 = 253109307349
BaseRepresentation
bin100001011010011…
…0100111000100000
32220010122000220220
41002310310320200
54244003104402
6303130003040
736532366266
oct10264647040
92803560826
101121144352
11525947389
12273576480
1314b374c33
14a8c84436
1568660dbc
hex42d34e20

1121144352 has 96 divisors (see below), whose sum is σ = 2988216000. Its totient is φ = 368022528.

The previous prime is 1121144327. The next prime is 1121144359. The reversal of 1121144352 is 2534411211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1121144359) 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, 3212274 + ... + 3212622.

It is an arithmetic number, because the mean of its divisors is an integer number (31127250).

Almost surely, 21121144352 is an apocalyptic number.

1121144352 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 1121144352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494108000).

1121144352 is an abundant number, since it is smaller than the sum of its proper divisors (1867071648).

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

1121144352 is a wasteful number, since it uses less digits than its factorization.

1121144352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 770 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 1121144352 is about 33483.4937245204. The cubic root of 1121144352 is about 1038.8523928948.

Adding to 1121144352 its reverse (2534411211), we get a palindrome (3655555563).

The spelling of 1121144352 in words is "one billion, one hundred twenty-one million, one hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 307 327 349 436 614 654 698 872 921 1047 1228 1308 1396 1744 1842 2094 2456 2616 2792 3488 3684 4188 4912 5232 5584 7368 8376 9824 10464 11168 14736 16752 29472 33463 33504 38041 66926 76082 100389 107143 114123 133852 152164 200778 214286 228246 267704 304328 321429 401556 428572 456492 535408 608656 642858 803112 857144 912984 1070816 1217312 1285716 1606224 1714288 1825968 2571432 3212448 3428576 3651936 5142864 10285728 11678587 23357174 35035761 46714348 70071522 93428696 140143044 186857392 280286088 373714784 560572176 1121144352