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212110312030002 = 232193749789336667
BaseRepresentation
bin110000001110100111000111…
…110011010011111100110010
31000211000112210100020220102200
4300032213013303103330302
5210300203404334430002
62031042044313124030
762451315160163121
oct6016470763237462
91024015710226380
10212110312030002
1161648529488aa1
121b9584963b9616
139147bbb9c8ca9
143a542a000bab8
15197c721690b1c
hexc0e9c7cd3f32

212110312030002 has 96 divisors (see below), whose sum is σ = 496846419700800. Its totient is φ = 65170371429504.

The previous prime is 212110312029937. The next prime is 212110312030003. The reversal of 212110312030002 is 200030213011212.

212110312030002 is a `hidden beast` number, since 21 + 21 + 10 + 312 + 0 + 300 + 0 + 2 = 666.

It is a super-2 number, since 2×2121103120300022 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (212110312030003) 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, 629861673 + ... + 630198339.

It is an arithmetic number, because the mean of its divisors is an integer number (5175483538550).

Almost surely, 2212110312030002 is an apocalyptic number.

212110312030002 is an abundant number, since it is smaller than the sum of its proper divisors (284736107670798).

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

212110312030002 is a wasteful number, since it uses less digits than its factorization.

212110312030002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386520 (or 386517 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212110312030002 its reverse (200030213011212), we get a palindrome (412140525041214).

The spelling of 212110312030002 in words is "two hundred twelve trillion, one hundred ten billion, three hundred twelve million, thirty thousand, two".

Divisors: 1 2 3 6 9 18 19 37 38 57 74 111 114 171 222 333 342 666 703 1406 2109 4218 6327 12654 49789 99578 149367 298734 336667 448101 673334 896202 945991 1010001 1842193 1891982 2020002 2837973 3030003 3684386 5526579 5675946 6060006 6396673 8513919 11053158 12456679 12793346 16579737 17027838 19190019 24913358 33159474 35001667 37370037 38380038 57570057 70003334 74740074 105005001 112110111 115140114 210010002 224220222 236676901 315015003 473353802 630030006 710030703 1420061406 2130092109 4260184218 16762313263 33524626526 50286939789 100573879578 150860819367 301721638734 318483951997 620205590731 636967903994 955451855991 1240411181462 1860616772193 1910903711982 2866355567973 3721233544386 5581850316579 5732711135946 11163700633158 11783906223889 23567812447778 35351718671667 70703437343334 106055156015001 212110312030002