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212001213300 = 223524127163601
BaseRepresentation
bin1100010101110001000…
…0011100101101110100
3202021012201200111011220
43011130100130231310
511433134302311200
6241220401430340
721213405403032
oct3053420345564
9667181614156
10212001213300
1181a001813a8
123510693b3b0
1316cb77ba016
14a391d37552
1557abd844a0
hex315c41cb74

212001213300 has 144 divisors (see below), whose sum is σ = 630679467264. Its totient is φ = 54950400000.

The previous prime is 212001213283. The next prime is 212001213301. The reversal of 212001213300 is 3312100212.

212001213300 is digitally balanced in base 3, 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212001213300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212001213301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3301500 + ... + 3365100.

Almost surely, 2212001213300 is an apocalyptic number.

212001213300 is a gapful number since it is divisible by the number (20) 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 212001213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315339733632).

212001213300 is an abundant number, since it is smaller than the sum of its proper divisors (418678253964).

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

212001213300 is a wasteful number, since it uses less digits than its factorization.

212001213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63930 (or 63923 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 212001213300 its reverse (3312100212), we get a palindrome (215313313512).

It can be divided in two parts, 2120012 and 13300, that added together give a palindrome (2133312).

The spelling of 212001213300 in words is "two hundred twelve billion, one million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 271 300 410 492 542 615 813 820 1025 1084 1230 1355 1626 2050 2460 2710 3075 3252 4065 4100 5420 6150 6775 8130 11111 12300 13550 16260 20325 22222 27100 33333 40650 44444 55555 63601 66666 81300 111110 127202 133332 166665 190803 222220 254404 277775 318005 333330 381606 555550 636010 666660 763212 833325 954015 1111100 1272020 1590025 1666650 1908030 2607641 3180050 3333300 3816060 4770075 5215282 6360100 7822923 9540150 10430564 13038205 15645846 17235871 19080300 26076410 31291692 34471742 39114615 51707613 52152820 65191025 68943484 78229230 86179355 103415226 130382050 156458460 172358710 195573075 206830452 258538065 260764100 344717420 391146150 430896775 517076130 706670711 782292300 861793550 1034152260 1292690325 1413341422 1723587100 2120012133 2585380650 2826682844 3533353555 4240024266 5170761300 7066707110 8480048532 10600060665 14133414220 17666767775 21200121330 35333535550 42400242660 53000303325 70667071100 106000606650 212001213300