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212032030032 = 243219139557533
BaseRepresentation
bin1100010101111000011…
…0000000010101010000
3202021021212200010210100
43011132012000111100
511433220144430112
6241223422132400
721214231342524
oct3053606002520
9667255603710
10212032030032
1181a1660a479
1235115121100
1316cc0cb9984
14a396079d84
1557ae9202dc
hex315e180550

212032030032 has 120 divisors (see below), whose sum is σ = 629121365600. Its totient is φ = 66475655424.

The previous prime is 212032030031. The next prime is 212032030033. The reversal of 212032030032 is 230030230212.

It is a happy number.

212032030032 is a `hidden beast` number, since 2 + 12 + 0 + 320 + 300 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (212032030031) and next prime (212032030033).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212032029987 and 212032030014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212032030031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101538 + ... + 659070.

Almost surely, 2212032030032 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 212032030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314560682800).

212032030032 is an abundant number, since it is smaller than the sum of its proper divisors (417089335568).

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

212032030032 is a wasteful number, since it uses less digits than its factorization.

212032030032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557705 (or 557696 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 212032030032 its reverse (230030230212), we get a palindrome (442062260244).

The spelling of 212032030032 in words is "two hundred twelve billion, thirty-two million, thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 139 144 152 171 228 278 304 342 417 456 556 684 834 912 1112 1251 1368 1668 2224 2502 2641 2736 3336 5004 5282 6672 7923 10008 10564 15846 20016 21128 23769 31692 42256 47538 63384 95076 126768 190152 380304 557533 1115066 1672599 2230132 3345198 4460264 5017797 6690396 8920528 10035594 10593127 13380792 20071188 21186254 26761584 31779381 40142376 42372508 63558762 77497087 80284752 84745016 95338143 127117524 154994174 169490032 190676286 232491261 254235048 309988348 381352572 464982522 508470096 619976696 697473783 762705144 929965044 1239953392 1394947566 1472444653 1525410288 1859930088 2789895132 2944889306 3719860176 4417333959 5579790264 5889778612 8834667918 11159580528 11779557224 13252001877 17669335836 23559114448 26504003754 35338671672 53008007508 70677343344 106016015016 212032030032