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3133102200 = 233527173547
BaseRepresentation
bin1011101010111111…
…0101100001111000
322002100111002020020
42322233311201320
522404033232300
61234521130440
7140432633514
oct27257654170
98070432206
103133102200
111368611068
12735329a20
133ac148037
1421a173144
151350d68a0
hexbabf5878

3133102200 has 96 divisors (see below), whose sum is σ = 9849548160. Its totient is φ = 823715200.

The previous prime is 3133102199. The next prime is 3133102237. The reversal of 3133102200 is 22013313.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3133102200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5827 + ... + 79373.

It is an arithmetic number, because the mean of its divisors is an integer number (102599460).

Almost surely, 23133102200 is an apocalyptic number.

3133102200 is a gapful number since it is divisible by the number (30) 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 3133102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4924774080).

3133102200 is an abundant number, since it is smaller than the sum of its proper divisors (6716445960).

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

3133102200 is a wasteful number, since it uses less digits than its factorization.

3133102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73637 (or 73628 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3133102200 is about 55974.1208059582. The cubic root of 3133102200 is about 1463.2712974475.

Adding to 3133102200 its reverse (22013313), we get a palindrome (3155115513).

The spelling of 3133102200 in words is "three billion, one hundred thirty-three million, one hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 71 75 100 120 142 150 200 213 284 300 355 426 568 600 710 852 1065 1420 1704 1775 2130 2840 3550 4260 5325 7100 8520 10650 14200 21300 42600 73547 147094 220641 294188 367735 441282 588376 735470 882564 1103205 1470940 1765128 1838675 2206410 2941880 3677350 4412820 5221837 5516025 7354700 8825640 10443674 11032050 14709400 15665511 20887348 22064100 26109185 31331022 41774696 44128200 52218370 62662044 78327555 104436740 125324088 130545925 156655110 208873480 261091850 313310220 391637775 522183700 626620440 783275550 1044367400 1566551100 3133102200