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20300300211331 = 767835937511171
BaseRepresentation
bin1001001110110100010000…
…01011101101010010000011
32122212200121211021211221001
410213122020023231102003
510130100003323230311
6111101455033512431
74163435235504040
oct447321013552203
978780554254831
1020300300211331
116517344272578
12233a401572717
13b4340538568a
1450277b1ca1c7
152530cda964c1
hex1276882ed483

20300300211331 has 64 divisors (see below), whose sum is σ = 23922693881856. Its totient is φ = 16868554560000.

The previous prime is 20300300211329. The next prime is 20300300211343. The reversal of 20300300211331 is 13311200300302.

It is a cyclic number.

It is not a de Polignac number, because 20300300211331 - 21 = 20300300211329 is a prime.

It is a super-2 number, since 2×203003002113312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20300300211299 and 20300300211308.

It is not an unprimeable number, because it can be changed into a prime (20300300211361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17335866376 + ... + 17335867546.

It is an arithmetic number, because the mean of its divisors is an integer number (373792091904).

Almost surely, 220300300211331 is an apocalyptic number.

20300300211331 is a deficient number, since it is larger than the sum of its proper divisors (3622393670525).

20300300211331 is a wasteful number, since it uses less digits than its factorization.

20300300211331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 20300300211331 its reverse (13311200300302), we get a palindrome (33611500511633).

The spelling of 20300300211331 in words is "twenty trillion, three hundred billion, three hundred million, two hundred eleven thousand, three hundred thirty-one".

Divisors: 1 7 67 83 469 581 593 751 1171 4151 5257 5561 8197 38927 39731 49219 50317 62333 78457 97193 278117 344533 352219 436331 445343 549199 680351 694403 879421 3117401 3297673 4176311 4860821 6155947 6511931 23083711 29234177 29837981 36963469 45583517 46525001 57635449 58921207 72991943 208865867 258744283 325675007 403448143 412448449 510943601 521496653 2476552423 3650476571 3861575083 4890460181 17335866961 27031025581 34233221267 34940275751 43284222199 244581930257 302989555393 2900042887333 20300300211331