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200120211200221 = 134110915786325423
BaseRepresentation
bin101101100000001000011110…
…000110011101100011011101
3222020120022020121012202022021
4231200020132012131203131
5202212232143031401341
61545341542244420141
760103131250543144
oct5540103606354335
9866508217182267
10200120211200221
1158845561110304
121a5407799a7651
1387883411524a0
14375bc2702675b
1518208bc8629d1
hexb6021e19d8dd

200120211200221 has 64 divisors (see below), whose sum is σ = 224483652771840. Its totient is φ = 177217486018560.

The previous prime is 200120211200153. The next prime is 200120211200279. The reversal of 200120211200221 is 122002112021002.

It is a happy number.

It is not a de Polignac number, because 200120211200221 - 243 = 191324118178013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 200120211200195 and 200120211200204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200120211200281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7871607916 + ... + 7871633338.

It is an arithmetic number, because the mean of its divisors is an integer number (3507557074560).

Almost surely, 2200120211200221 is an apocalyptic number.

It is an amenable number.

200120211200221 is a deficient number, since it is larger than the sum of its proper divisors (24363441571619).

200120211200221 is a wasteful number, since it uses less digits than its factorization.

200120211200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26606.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 200120211200221 its reverse (122002112021002), we get a palindrome (322122323221223).

The spelling of 200120211200221 in words is "two hundred trillion, one hundred twenty billion, two hundred eleven million, two hundred thousand, two hundred twenty-one".

Divisors: 1 13 41 109 157 533 863 1417 2041 4469 6437 11219 17113 25423 35383 58097 83681 94067 135491 222469 330499 459979 701633 1042343 1222871 1761383 2771107 3856747 3991411 5555131 9121229 13550459 14768519 21940049 36024391 50137711 51888343 72216703 113615387 163647851 191990747 285220637 435063799 605509279 899542009 1477000031 2127422063 2391465341 3444587693 5655829387 7871620627 11694046117 17837615759 31089049433 44779640009 98050078981 141228095413 231889004867 375460058537 1274651026753 1835965240369 4880980760981 15393862400017 200120211200221