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1012331112 = 2331343611237
BaseRepresentation
bin111100010101101…
…111001001101000
32121112212202012220
4330111233021220
54033124043422
6244241434040
734041446442
oct7425571150
92545782186
101012331112
1147a486391
1224303b920
13131966ac0
149863b492
155dd19e5c
hex3c56f268

1012331112 has 128 divisors (see below), whose sum is σ = 2836901760. Its totient is φ = 299013120.

The previous prime is 1012331107. The next prime is 1012331119. The reversal of 1012331112 is 2111332101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1012331091 and 1012331100.

It is not an unprimeable number, because it can be changed into a prime (1012331119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 817758 + ... + 818994.

It is an arithmetic number, because the mean of its divisors is an integer number (22163295).

Almost surely, 21012331112 is an apocalyptic number.

1012331112 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 1012331112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418450880).

1012331112 is an abundant number, since it is smaller than the sum of its proper divisors (1824570648).

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

1012331112 is a wasteful number, since it uses less digits than its factorization.

1012331112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1012331112 is about 31817.1512238289. The cubic root of 1012331112 is about 1004.0935903189.

Adding to 1012331112 its reverse (2111332101), we get a palindrome (3123663213).

The spelling of 1012331112 in words is "one billion, twelve million, three hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 61 78 86 104 122 129 156 172 183 244 258 312 344 366 488 516 559 732 793 1032 1118 1237 1464 1586 1677 2236 2379 2474 2623 3172 3354 3711 4472 4758 4948 5246 6344 6708 7422 7869 9516 9896 10492 13416 14844 15738 16081 19032 20984 29688 31476 32162 34099 48243 53191 62952 64324 68198 75457 96486 102297 106382 128648 136396 150914 159573 192972 204594 212764 226371 272792 301828 319146 385944 409188 425528 452742 603656 638292 691483 818376 905484 980941 1276584 1382966 1810968 1961882 2074449 2765932 2942823 3244651 3923764 4148898 5531864 5885646 6489302 7847528 8297796 9733953 11771292 12978604 16595592 19467906 23542584 25957208 38935812 42180463 77871624 84360926 126541389 168721852 253082778 337443704 506165556 1012331112