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211601303152 = 241031131636971
BaseRepresentation
bin1100010100010001101…
…0111010011001110000
3202020011212011221120221
43011010122322121300
511431324413200102
6241112554142424
721200451254161
oct3050432723160
9666155157527
10211601303152
1181815467a48
1235014a21a14
1316c529aa5b5
14a354b97768
155786bdc637
hex31446ba670

211601303152 has 80 divisors (see below), whose sum is σ = 420243602688. Its totient is φ = 103194362880.

The previous prime is 211601303141. The next prime is 211601303201. The reversal of 211601303152 is 251303106112.

It is a happy number.

It is a super-2 number, since 2×2116013031522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30351027 + ... + 30357997.

Almost surely, 2211601303152 is an apocalyptic number.

It is an amenable number.

211601303152 is a deficient number, since it is larger than the sum of its proper divisors (208642299536).

211601303152 is a wasteful number, since it uses less digits than its factorization.

211601303152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7358 (or 7352 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 211601303152 its reverse (251303106112), we get a palindrome (462904409264).

The spelling of 211601303152 in words is "two hundred eleven billion, six hundred one million, three hundred three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 103 113 163 206 226 326 412 452 652 824 904 1304 1648 1808 2608 6971 11639 13942 16789 18419 23278 27884 33578 36838 46556 55768 67156 73676 93112 111536 134312 147352 186224 268624 294704 718013 787723 1136273 1436026 1575446 1897157 2272546 2872052 3150892 3794314 4545092 5744104 6301784 7588628 9090184 11488208 12603568 15177256 18180368 30354512 81135469 117036119 128398849 162270938 234072238 256797698 324541876 468144476 513595396 649083752 936288952 1027190792 1298167504 1872577904 2054381584 13225081447 26450162894 52900325788 105800651576 211601303152