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200101221225 = 325219943110369
BaseRepresentation
bin1011101001011011110…
…1100101001101101001
3201010111101202020220200
42322112331211031221
511234301403034400
6231531503342413
720312460213423
oct2722675451551
9633441666820
10200101221225
1177953a17204
12329455b1a09
1315b3c29c7a9
14998370d813
1553122bab00
hex2e96f65369

200101221225 has 72 divisors (see below), whose sum is σ = 361075104000. Its totient is φ = 105927782400.

The previous prime is 200101221223. The next prime is 200101221227. The reversal of 200101221225 is 522122101002.

It is an interprime number because it is at equal distance from previous prime (200101221223) and next prime (200101221227).

It is not a de Polignac number, because 200101221225 - 21 = 200101221223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200101221198 and 200101221207.

It is not an unprimeable number, because it can be changed into a prime (200101221223) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19292841 + ... + 19303209.

It is an arithmetic number, because the mean of its divisors is an integer number (5014932000).

Almost surely, 2200101221225 is an apocalyptic number.

200101221225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

200101221225 is a deficient number, since it is larger than the sum of its proper divisors (160973882775).

200101221225 is a wasteful number, since it uses less digits than its factorization.

200101221225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11015 (or 11007 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 200101221225 its reverse (522122101002), we get a palindrome (722223322227).

The spelling of 200101221225 in words is "two hundred billion, one hundred one million, two hundred twenty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 199 225 431 597 995 1293 1791 2155 2985 3879 4975 6465 8955 10369 10775 14925 19395 31107 32325 44775 51845 85769 93321 96975 155535 257307 259225 428845 466605 771921 777675 1286535 2063431 2144225 2333025 3859605 4469039 6190293 6432675 10317155 13407117 18570879 19298025 22345195 30951465 40221351 51585775 67035585 92854395 111725975 154757325 201106755 335177925 464271975 889338761 1005533775 2668016283 4446693805 8004048849 13340081415 22233469025 40020244245 66700407075 200101221225