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1012002012 = 223471373257
BaseRepresentation
bin111100010100011…
…110110011011100
32121112021000210000
4330110132303130
54033033031022
6244230414300
734035606120
oct7424366334
92545230700
101012002012
1147a2810aa
12242b01390
13131880078
1498593580
155dca26ac
hex3c51ecdc

1012002012 has 120 divisors (see below), whose sum is σ = 3046516704. Its totient is φ = 286944768.

The previous prime is 1012002011. The next prime is 1012002023. The reversal of 1012002012 is 2102002101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1012001985 and 1012002003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012002011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 309088 + ... + 312344.

Almost surely, 21012002012 is an apocalyptic number.

1012002012 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 1012002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523258352).

1012002012 is an abundant number, since it is smaller than the sum of its proper divisors (2034514692).

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

1012002012 is a wasteful number, since it uses less digits than its factorization.

1012002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1012002012 is about 31811.9790644971. The cubic root of 1012002012 is about 1003.9847711748.

Adding to 1012002012 its reverse (2102002101), we get a palindrome (3114004113).

The spelling of 1012002012 in words is "one billion, twelve million, two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 137 162 189 252 274 324 378 411 548 567 756 822 959 1134 1233 1644 1918 2268 2466 2877 3257 3699 3836 4932 5754 6514 7398 8631 9771 11097 11508 13028 14796 17262 19542 22194 22799 25893 29313 34524 39084 44388 45598 51786 58626 68397 77679 87939 91196 103572 117252 136794 155358 175878 205191 263817 273588 310716 351756 410382 446209 527634 615573 820764 892418 1055268 1231146 1338627 1784836 1846719 2462292 2677254 3123463 3693438 4015881 5354508 6246926 7386876 8031762 9370389 12047643 12493852 16063524 18740778 24095286 28111167 36142929 37481556 48190572 56222334 72285858 84333501 112444668 144571716 168667002 253000503 337334004 506001006 1012002012