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1042200312 = 2331937223277
BaseRepresentation
bin111110000111101…
…011011011111000
32200122002021001120
4332013223123320
54113300402222
6251225545240
734553361606
oct7607533370
92618067046
101042200312
1149532757a
12251045220
13137bc439a
149c5b4876
156176a15c
hex3e1eb6f8

1042200312 has 128 divisors (see below), whose sum is σ = 2839603200. Its totient is φ = 317634048.

The previous prime is 1042200307. The next prime is 1042200319. The reversal of 1042200312 is 2130022401.

It is a junction number, because it is equal to n+sod(n) for n = 1042200291 and 1042200300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042200319) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3762318 + ... + 3762594.

It is an arithmetic number, because the mean of its divisors is an integer number (22184400).

Almost surely, 21042200312 is an apocalyptic number.

1042200312 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 1042200312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419801600).

1042200312 is an abundant number, since it is smaller than the sum of its proper divisors (1797402888).

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

1042200312 is a wasteful number, since it uses less digits than its factorization.

1042200312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1042200312 is about 32283.1273578010. The cubic root of 1042200312 is about 1013.8734091079.

Adding to 1042200312 its reverse (2130022401), we get a palindrome (3172222713).

The spelling of 1042200312 in words is "one billion, forty-two million, two hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 37 38 57 74 76 111 114 148 152 222 223 228 277 296 444 446 456 554 669 703 831 888 892 1108 1338 1406 1662 1784 2109 2216 2676 2812 3324 4218 4237 5263 5352 5624 6648 8251 8436 8474 10249 10526 12711 15789 16502 16872 16948 20498 21052 24753 25422 30747 31578 33004 33896 40996 42104 49506 50844 61494 61771 63156 66008 81992 99012 101688 122988 123542 126312 156769 185313 194731 198024 245976 247084 313538 370626 389462 470307 494168 584193 627076 741252 778924 940614 1168386 1173649 1254152 1482504 1557848 1881228 2285527 2336772 2347298 3520947 3762456 4571054 4673544 4694596 6856581 7041894 9142108 9389192 13713162 14083788 18284216 27426324 28167576 43425013 54852648 86850026 130275039 173700052 260550078 347400104 521100156 1042200312