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200220211222101 = 32717256017302331
BaseRepresentation
bin101101100001100101100110…
…100100010001011001010101
3222020220212100202220012120100
4231201211212210101121111
5202220401443033101401
61545455521212124313
760113301324652350
oct5541454644213125
9866825322805510
10200220211222101
1158883a07560894
121a558027766699
1387948b996bb75
1437629d2091297
1518232c1aa3b86
hexb61966911655

200220211222101 has 48 divisors (see below), whose sum is σ = 349978456833408. Its totient is φ = 107677237248000.

The previous prime is 200220211222081. The next prime is 200220211222117. The reversal of 200220211222101 is 101222112022002.

It is a happy number.

200220211222101 is a `hidden beast` number, since 2 + 0 + 0 + 220 + 211 + 22 + 210 + 1 = 666.

It is not a de Polignac number, because 200220211222101 - 223 = 200220202833493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200220211222901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23767506 + ... + 31069836.

It is an arithmetic number, because the mean of its divisors is an integer number (7291217850696).

Almost surely, 2200220211222101 is an apocalyptic number.

200220211222101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

200220211222101 is a deficient number, since it is larger than the sum of its proper divisors (149758245611307).

200220211222101 is a wasteful number, since it uses less digits than its factorization.

200220211222101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7327962 (or 7327959 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 200220211222101 its reverse (101222112022002), we get a palindrome (301442323244103).

The spelling of 200220211222101 in words is "two hundred trillion, two hundred twenty billion, two hundred eleven million, two hundred twenty-two thousand, one hundred one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 25601 76803 179207 230409 435217 537621 1305651 1612863 3046519 3916953 7302331 9139557 21906993 27418671 51116317 65720979 124139627 153348951 372418881 460046853 868977389 1117256643 2606932167 7820796501 186946975931 560840927793 1308628831517 1682522783379 3178098590827 3925886494551 9534295772481 11777659483653 22246690135789 28602887317443 66740070407367 200220211222101