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210212001012 = 2231310925149253
BaseRepresentation
bin1100001111000110011…
…1001001010011110100
3202002121000222002100010
43003301213021103310
511421003233013022
6240323044420220
721121151345466
oct3036147112364
9662530862303
10210212001012
1181172215762
12348a76a7670
1316a90c06220
14a26246c136
155704c5c50c
hex30f19c94f4

210212001012 has 96 divisors (see below), whose sum is σ = 535205784960. Its totient is φ = 63830592000.

The previous prime is 210212001011. The next prime is 210212001031. The reversal of 210212001012 is 210100212012.

210212001012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210212001011) 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, 4243378 + ... + 4292630.

It is an arithmetic number, because the mean of its divisors is an integer number (5575060260).

Almost surely, 2210212001012 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 210212001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267602892480).

210212001012 is an abundant number, since it is smaller than the sum of its proper divisors (324993783948).

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

210212001012 is a wasteful number, since it uses less digits than its factorization.

210212001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49633 (or 49631 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210212001012 its reverse (210100212012), we get a palindrome (420312213024).

The spelling of 210212001012 in words is "two hundred ten billion, two hundred twelve million, one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 109 156 218 251 327 436 502 654 753 1004 1308 1417 1506 2834 3012 3263 4251 5668 6526 8502 9789 13052 17004 19578 27359 39156 49253 54718 82077 98506 109436 147759 164154 197012 295518 328308 355667 591036 640289 711334 1067001 1280578 1422668 1920867 2134002 2561156 3841734 4268004 5368577 7683468 10737154 12362503 16105731 21474308 24725006 32211462 37087509 49450012 64422924 69791501 74175018 139583002 148350036 160712539 209374503 279166004 321425078 418749006 482137617 642850156 837498012 964275234 1347512827 1928550468 2695025654 4042538481 5390051308 8085076962 16170153924 17517666751 35035333502 52553000253 70070667004 105106000506 210212001012