Search a number
-
+
3133102368 = 253112269723
BaseRepresentation
bin1011101010111111…
…0101100100100000
322002100111002110110
42322233311210200
522404033233433
61234521131320
7140432634144
oct27257654440
98070432413
103133102368
111368611200
12735329b40
133ac148136
1421a173224
151350d6963
hexbabf5920

3133102368 has 72 divisors (see below), whose sum is σ = 9040069584. Its totient is φ = 949421440.

The previous prime is 3133102331. The next prime is 3133102369. The reversal of 3133102368 is 8632013313.

It is not an unprimeable number, because it can be changed into a prime (3133102369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123246 + ... + 146477.

It is an arithmetic number, because the mean of its divisors is an integer number (125556522).

Almost surely, 23133102368 is an apocalyptic number.

It is an amenable number.

3133102368 is an abundant number, since it is smaller than the sum of its proper divisors (5906967216).

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

3133102368 is a wasteful number, since it uses less digits than its factorization.

3133102368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269758 (or 269739 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3133102368 is about 55974.1223066517. The cubic root of 3133102368 is about 1463.2713236016.

It can be divided in two parts, 3133 and 102368, that added together give a palindrome (105501).

The spelling of 3133102368 in words is "three billion, one hundred thirty-three million, one hundred two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 3872 5808 11616 269723 539446 809169 1078892 1618338 2157784 2966953 3236676 4315568 5933906 6473352 8631136 8900859 11867812 12946704 17801718 23735624 25893408 32636483 35603436 47471248 65272966 71206872 94942496 97909449 130545932 142413744 195818898 261091864 284827488 391637796 522183728 783275592 1044367456 1566551184 3133102368