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213122301332 = 221913720468911
BaseRepresentation
bin1100011001111100010…
…1000011110110010100
3202101002212012122211212
43012133011003312110
511442433302120312
6241523530320552
721253240446203
oct3063705036624
9671085178755
10213122301332
1182425a8a436
123537a289158
1317135b42415
14a45aba523a
1558254d3822
hex319f143d94

213122301332 has 24 divisors (see below), whose sum is σ = 395459379840. Its totient is φ = 100215783360.

The previous prime is 213122301331. The next prime is 213122301349. The reversal of 213122301332 is 233103221312.

213122301332 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 2×2131223013322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213122301298 and 213122301307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213122301331) 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 7 ways as a sum of consecutive naturals, for example, 10224044 + ... + 10244867.

It is an arithmetic number, because the mean of its divisors is an integer number (16477474160).

Almost surely, 2213122301332 is an apocalyptic number.

It is an amenable number.

213122301332 is a deficient number, since it is larger than the sum of its proper divisors (182337078508).

213122301332 is a wasteful number, since it uses less digits than its factorization.

213122301332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20469071 (or 20469069 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 213122301332 its reverse (233103221312), we get a palindrome (446225522644).

The spelling of 213122301332 in words is "two hundred thirteen billion, one hundred twenty-two million, three hundred one thousand, three hundred thirty-two".

Divisors: 1 2 4 19 38 76 137 274 548 2603 5206 10412 20468911 40937822 81875644 388909309 777818618 1555637236 2804240807 5608481614 11216963228 53280575333 106561150666 213122301332