Search a number
-
+
1202042112 = 28329311741
BaseRepresentation
bin100011110100101…
…1011010100000000
310002202212001210020
41013221123110000
54430210321422
6315135533440
741534121645
oct10751332400
93082761706
101202042112
11567581037
1229668a280
1316205ab2b
14b5901dcc
15707e095c
hex47a5b500

1202042112 has 144 divisors (see below), whose sum is σ = 3418222080. Its totient is φ = 374169600.

The previous prime is 1202042111. The next prime is 1202042113. The reversal of 1202042112 is 2112402021.

It is an interprime number because it is at equal distance from previous prime (1202042111) and next prime (1202042113).

It is a junction number, because it is equal to n+sod(n) for n = 1202042091 and 1202042100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1202042111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 689562 + ... + 691302.

Almost surely, 21202042112 is an apocalyptic number.

1202042112 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 1202042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709111040).

1202042112 is an abundant number, since it is smaller than the sum of its proper divisors (2216179968).

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

1202042112 is a wasteful number, since it uses less digits than its factorization.

1202042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1202042112 is about 34670.4789698671. The cubic root of 1202042112 is about 1063.2610241827.

Adding to 1202042112 its reverse (2112402021), we get a palindrome (3314444133).

The spelling of 1202042112 in words is "one billion, two hundred two million, forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 64 87 93 96 116 124 128 174 186 192 232 248 256 348 372 384 464 496 696 744 768 899 928 992 1392 1488 1741 1798 1856 1984 2697 2784 2976 3482 3596 3712 3968 5223 5394 5568 5952 6964 7192 7424 7936 10446 10788 11136 11904 13928 14384 20892 21576 22272 23808 27856 28768 41784 43152 50489 53971 55712 57536 83568 86304 100978 107942 111424 115072 151467 161913 167136 172608 201956 215884 222848 230144 302934 323826 334272 345216 403912 431768 445696 605868 647652 668544 690432 807824 863536 1211736 1295304 1337088 1565159 1615648 1727072 2423472 2590608 3130318 3231296 3454144 4695477 4846944 5181216 6260636 6462592 6908288 9390954 9693888 10362432 12521272 12925184 13816576 18781908 19387776 20724864 25042544 37563816 38775552 41449728 50085088 75127632 100170176 150255264 200340352 300510528 400680704 601021056 1202042112