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200101131330221 = 1122576434740693
BaseRepresentation
bin101101011111110110101100…
…110110100010001010101101
3222020111110222220001221010102
4231133312230312202022231
5202211424104110031341
61545325105104520445
760101554400405042
oct5537665466421255
9866443886057112
10200101131330221
1158838460012600
121a538b34020125
1387865c029b894
14375ad3701b1c9
15182015279cc9b
hexb5fdacda22ad

200101131330221 has 12 divisors (see below), whose sum is σ = 220801692173916. Its totient is φ = 181202297886720.

The previous prime is 200101131330181. The next prime is 200101131330367. The reversal of 200101131330221 is 122033131101002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 106137673754596 + 93963457575625 = 10302314^2 + 9693475^2 .

It is not a de Polignac number, because 200101131330221 - 230 = 200100057588397 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 200101131330193 and 200101131330202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200101131330721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3217339250 + ... + 3217401443.

It is an arithmetic number, because the mean of its divisors is an integer number (18400141014493).

Almost surely, 2200101131330221 is an apocalyptic number.

It is an amenable number.

200101131330221 is a deficient number, since it is larger than the sum of its proper divisors (20700560843695).

200101131330221 is a wasteful number, since it uses less digits than its factorization.

200101131330221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6434740972 (or 6434740961 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 200101131330221 its reverse (122033131101002), we get a palindrome (322134262431223).

The spelling of 200101131330221 in words is "two hundred trillion, one hundred one billion, one hundred thirty-one million, three hundred thirty thousand, two hundred twenty-one".

Divisors: 1 11 121 257 2827 31097 6434740693 70782147623 778603623853 1653728358101 18191011939111 200101131330221