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201012213012 = 2231347128921269
BaseRepresentation
bin1011101100110101000…
…0101111010100010100
3201012211212221102201020
42323031100233110110
511243133111304022
6232202125201140
720344161422232
oct2731520572424
9635755842636
10201012213012
1178281176886
1232b5a7001b0
1315c55c442a0
149a2c6cb952
15536726935c
hex2ecd42f514

201012213012 has 96 divisors (see below), whose sum is σ = 516279052800. Its totient is φ = 60484150272.

The previous prime is 201012212927. The next prime is 201012213013. The reversal of 201012213012 is 210312210102.

201012213012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2010122130122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201012212982 and 201012213000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201012213013) 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, 9440314 + ... + 9461582.

It is an arithmetic number, because the mean of its divisors is an integer number (5377906800).

Almost surely, 2201012213012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201012213012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258139526400).

201012213012 is an abundant number, since it is smaller than the sum of its proper divisors (315266839788).

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

201012213012 is a wasteful number, since it uses less digits than its factorization.

201012213012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22625 (or 22623 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 201012213012 its reverse (210312210102), we get a palindrome (411324423114).

The spelling of 201012213012 in words is "two hundred one billion, twelve million, two hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 156 188 282 564 611 1222 1289 1833 2444 2578 3666 3867 5156 7332 7734 15468 16757 21269 33514 42538 50271 60583 63807 67028 85076 100542 121166 127614 181749 201084 242332 255228 276497 363498 552994 726996 787579 829491 999643 1105988 1575158 1658982 1999286 2362737 2998929 3150316 3317964 3998572 4725474 5997858 9450948 11995716 12995359 25990718 27415741 38986077 51981436 54831482 77972154 82247223 109662964 155944308 164494446 328988892 356404633 712809266 1069213899 1288539827 1425618532 2138427798 2577079654 3865619481 4276855596 5154159308 7731238962 15462477924 16751017751 33502035502 50253053253 67004071004 100506106506 201012213012