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1010020000212 = 2233199149331477
BaseRepresentation
bin11101011001010011110…
…00100010000111010100
310120120001000211011202000
432230221320202013110
5113022010110001322
62051555145515300
7132654144230436
oct16545170420724
93516030734660
101010020000212
1135a38aa60403
121438b97a2b30
1374324169552
1436c570d4656
151b4162753ac
hexeb29e221d4

1010020000212 has 96 divisors (see below), whose sum is σ = 2633575392000. Its totient is φ = 334746504576.

The previous prime is 1010020000207. The next prime is 1010020000289. The reversal of 1010020000212 is 2120000200101.

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 = 1010020000194 and 1010020000203.

It is a congruent number.

It is an unprimeable number.

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, 32071818 + ... + 32103294.

It is an arithmetic number, because the mean of its divisors is an integer number (27433077000).

Almost surely, 21010020000212 is an apocalyptic number.

1010020000212 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 1010020000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316787696000).

1010020000212 is an abundant number, since it is smaller than the sum of its proper divisors (1623555391788).

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

1010020000212 is a wasteful number, since it uses less digits than its factorization.

1010020000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33182 (or 33174 counting only the distinct ones).

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

Adding to 1010020000212 its reverse (2120000200101), we get a palindrome (3130020200313).

The spelling of 1010020000212 in words is "one trillion, ten billion, twenty million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 199 398 597 796 1194 1493 1791 2388 2986 3582 4479 5373 5972 7164 8958 10746 13437 17916 21492 26874 31477 40311 53748 62954 80622 94431 125908 161244 188862 283293 297107 377724 566586 594214 849879 891321 1133172 1188428 1699758 1782642 2673963 3399516 3565284 5347926 6263923 8021889 10695852 12527846 16043778 18791769 25055692 32087556 37583538 46995161 56375307 75167076 93990322 112750614 140985483 169125921 187980644 225501228 281970966 338251842 422956449 563941932 676503684 845912898 1268869347 1691825796 2537738694 5075477388 9352037039 18704074078 28056111117 37408148156 56112222234 84168333351 112224444468 168336666702 252505000053 336673333404 505010000106 1010020000212