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1302012012 = 2237193472351
BaseRepresentation
bin100110110011011…
…0010000001101100
310100201222001201010
41031212302001230
510131303341022
6333110345220
744156630250
oct11546620154
93321861633
101302012012
11608a51994
1230405b210
13179990a12
14c4cc6260
157948b50c
hex4d9b206c

1302012012 has 96 divisors (see below), whose sum is σ = 3666862080. Its totient is φ = 351259200.

The previous prime is 1302011989. The next prime is 1302012029. The reversal of 1302012012 is 2102102031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 552637 + ... + 554987.

It is an arithmetic number, because the mean of its divisors is an integer number (38196480).

Almost surely, 21302012012 is an apocalyptic number.

1302012012 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 1302012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833431040).

1302012012 is an abundant number, since it is smaller than the sum of its proper divisors (2364850068).

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

1302012012 is a wasteful number, since it uses less digits than its factorization.

1302012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2731 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1302012012 is about 36083.4035534344. The cubic root of 1302012012 is about 1091.9556429808.

Adding to 1302012012 its reverse (2102102031), we get a palindrome (3404114043).

The spelling of 1302012012 in words is "one billion, three hundred two million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 347 399 532 694 798 1041 1388 1596 2082 2351 2429 4164 4702 4858 6593 7053 7287 9404 9716 13186 14106 14574 16457 19779 26372 28212 29148 32914 39558 44669 46151 49371 65828 79116 89338 92302 98742 134007 138453 178676 184604 197484 268014 276906 312683 536028 553812 625366 815797 938049 1250732 1631594 1876098 2447391 3263188 3752196 4894782 5710579 9789564 11421158 15500143 17131737 22842316 31000286 34263474 46500429 62000572 68526948 93000858 108501001 186001716 217002002 325503003 434004004 651006006 1302012012