Search a number
-
+
10212120211320 = 2332528367000587
BaseRepresentation
bin1001010010011011000111…
…0011000010111101111000
31100011021021012211110121100
42110212301303002331320
52314303410233230240
633415214441211400
72102541600366336
oct224466163027570
940137235743540
1010212120211320
113287a326a2395
12118b216490b60
13590cca4ab371
142743aaba0b56
1512a992480e30
hex949b1cc2f78

10212120211320 has 48 divisors (see below), whose sum is σ = 33189390687960. Its totient is φ = 2723232056256.

The previous prime is 10212120211301. The next prime is 10212120211367. The reversal of 10212120211320 is 2311202121201.

10212120211320 is a `hidden beast` number, since 1 + 0 + 2 + 12 + 120 + 211 + 320 = 666.

10212120211320 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 2×102121202113202 (a number of 27 digits) contains 22 as substring.

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 = 10212120211293 and 10212120211302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14183499934 + ... + 14183500653.

Almost surely, 210212120211320 is an apocalyptic number.

10212120211320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212120211320 is an abundant number, since it is smaller than the sum of its proper divisors (22977270476640).

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

10212120211320 is a wasteful number, since it uses less digits than its factorization.

10212120211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28367000604 (or 28367000597 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10212120211320 its reverse (2311202121201), we get a palindrome (12523322332521).

The spelling of 10212120211320 in words is "ten trillion, two hundred twelve billion, one hundred twenty million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 28367000587 56734001174 85101001761 113468002348 141835002935 170202003522 226936004696 255303005283 283670005870 340404007044 425505008805 510606010566 567340011740 680808014088 851010017610 1021212021132 1134680023480 1276515026415 1702020035220 2042424042264 2553030052830 3404040070440 5106060105660 10212120211320