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3133112424 = 2331367712111
BaseRepresentation
bin1011101010111111…
…1000000001101000
322002100111121020220
42322233320001220
522404034044144
61234521250040
7140433005361
oct27257700150
98070447226
103133112424
111368618812
12735333920
133ac14c8a0
1421a176b68
151350d9919
hexbabf8068

3133112424 has 128 divisors (see below), whose sum is σ = 8685895680. Its totient is φ = 935827200.

The previous prime is 3133112413. The next prime is 3133112441. The reversal of 3133112424 is 4242113313.

It is a happy number.

3133112424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31331124242 = 19632786922846311552, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3133112394 and 3133112403.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1483129 + ... + 1485239.

It is an arithmetic number, because the mean of its divisors is an integer number (67858560).

Almost surely, 23133112424 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 3133112424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4342947840).

3133112424 is an abundant number, since it is smaller than the sum of its proper divisors (5552783256).

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

3133112424 is a wasteful number, since it uses less digits than its factorization.

3133112424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271 (or 2267 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 3133112424 is about 55974.2121338032. The cubic root of 3133112424 is about 1463.2728891043.

Adding to 3133112424 its reverse (4242113313), we get a palindrome (7375225737).

The spelling of 3133112424 in words is "three billion, one hundred thirty-three million, one hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 67 71 78 104 134 142 156 201 213 268 284 312 402 426 536 568 804 852 871 923 1608 1704 1742 1846 2111 2613 2769 3484 3692 4222 4757 5226 5538 6333 6968 7384 8444 9514 10452 11076 12666 14271 16888 19028 20904 22152 25332 27443 28542 38056 50664 54886 57084 61841 82329 109772 114168 123682 141437 149881 164658 185523 219544 247364 282874 299762 329316 371046 424311 449643 494728 565748 599524 658632 742092 848622 899286 1131496 1199048 1484184 1697244 1798572 1838681 1948453 3394488 3597144 3677362 3896906 5516043 5845359 7354724 7793812 10042027 11032086 11690718 14709448 15587624 20084054 22064172 23381436 30126081 40168108 44128344 46762872 60252162 80336216 120504324 130546351 241008648 261092702 391639053 522185404 783278106 1044370808 1566556212 3133112424