Search a number
-
+
351015211225 = 52761191172157
BaseRepresentation
bin1010001101110100010…
…00110001000011011001
31020120000212001021100201
411012322020301003121
521222334343224400
6425130522102201
734234325031520
oct5067210610331
91216025037321
10351015211225
11125956a32598
125804234a961
1327140003323
1412dbc61d4b7
1591e623c06a
hex51ba2310d9

351015211225 has 48 divisors (see below), whose sum is σ = 508243470336. Its totient is φ = 235509408000.

The previous prime is 351015211213. The next prime is 351015211247. The reversal of 351015211225 is 522112510153.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-351015211225 is a prime.

It is a super-2 number, since 2×3510152112252 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 351015211193 and 351015211202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1952847 + ... + 2125003.

It is an arithmetic number, because the mean of its divisors is an integer number (10588405632).

Almost surely, 2351015211225 is an apocalyptic number.

351015211225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

351015211225 is a deficient number, since it is larger than the sum of its proper divisors (157228259111).

351015211225 is a wasteful number, since it uses less digits than its factorization.

351015211225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172426 (or 172421 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 28.

Adding to 351015211225 its reverse (522112510153), we get a palindrome (873127721378).

The spelling of 351015211225 in words is "three hundred fifty-one billion, fifteen million, two hundred eleven thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 61 175 191 305 427 955 1337 1525 2135 4775 6685 10675 11651 33425 58255 81557 172157 291275 407785 860785 1205099 2038925 4303925 6025495 10501577 30127475 32881987 52507885 73511039 164409935 230173909 262539425 367555195 822049675 1150869545 1837775975 2005801207 5754347725 10029006035 14040608449 50145030175 70203042245 351015211225