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3133103424 = 263112364499
BaseRepresentation
bin1011101010111111…
…0101110101000000
322002100111010220120
42322233311311000
522404033302144
61234521140240
7140432640213
oct27257656500
98070433816
103133103424
111368611a80
1273532a680
133ac148769
1421a17377a
151350d6e19
hexbabf5d40

3133103424 has 112 divisors (see below), whose sum is σ = 9436608000. Its totient is φ = 908131840.

The previous prime is 3133103399. The next prime is 3133103429. The reversal of 3133103424 is 4243013313.

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

It is a junction number, because it is equal to n+sod(n) for n = 3133103394 and 3133103403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133103429) 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, 16327 + ... + 80825.

Almost surely, 23133103424 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 3133103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718304000).

3133103424 is an abundant number, since it is smaller than the sum of its proper divisors (6303504576).

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

3133103424 is a wasteful number, since it uses less digits than its factorization.

3133103424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64548 (or 64538 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3133103424 is about 55974.1317395813. The cubic root of 3133103424 is about 1463.2714879982.

Adding to 3133103424 its reverse (4243013313), we get a palindrome (7376116737).

The spelling of 3133103424 in words is "three billion, one hundred thirty-three million, one hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 132 138 176 184 192 253 264 276 352 368 506 528 552 704 736 759 1012 1056 1104 1472 1518 2024 2112 2208 3036 4048 4416 6072 8096 12144 16192 24288 48576 64499 128998 193497 257996 386994 515992 709489 773988 1031984 1418978 1483477 1547976 2063968 2128467 2837956 2966954 3095952 4127936 4256934 4450431 5675912 5933908 6191904 8513868 8900862 11351824 11867816 12383808 16318247 17027736 17801724 22703648 23735632 32636494 34055472 35603448 45407296 47471264 48954741 65272988 68110944 71206896 94942528 97909482 130545976 136221888 142413792 195818964 261091952 284827584 391637928 522183904 783275856 1044367808 1566551712 3133103424