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122152105302225 = 3528333013594397
BaseRepresentation
bin11011110001100011000000…
…110110000101100011010001
3121000111121221020120211111120
4123301203000312011203101
5112002320002424132400
61111443522534232453
734505125020342645
oct3361430066054321
9530447836524446
10122152105302225
1135a15464a42939
1211849a90ab5729
135320b8146684b
14222429cb3ac25
15e1c6cae75ca0
hex6f18c0d858d1

122152105302225 has 48 divisors (see below), whose sum is σ = 204397913237952. Its totient is φ = 64360818466560.

The previous prime is 122152105302211. The next prime is 122152105302317. The reversal of 122152105302225 is 522203501251221.

It is not a de Polignac number, because 122152105302225 - 221 = 122152103205073 is a prime.

It is a super-2 number, since 2×1221521053022252 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205208727 + ... + 205803123.

It is an arithmetic number, because the mean of its divisors is an integer number (4258289859124).

Almost surely, 2122152105302225 is an apocalyptic number.

122152105302225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122152105302225 is a deficient number, since it is larger than the sum of its proper divisors (82245807935727).

122152105302225 is a wasteful number, since it uses less digits than its factorization.

122152105302225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627506 (or 627501 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

Adding to 122152105302225 its reverse (522203501251221), we get a palindrome (644355606553446).

The spelling of 122152105302225 in words is "one hundred twenty-two trillion, one hundred fifty-two billion, one hundred five million, three hundred two thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 75 83 249 415 1245 2075 6225 33013 99039 165065 495195 594397 825325 1783191 2475975 2740079 2971985 8220237 8915955 13700395 14859925 41101185 44579775 49334951 68501975 148004853 205505925 246674755 740024265 1233373775 3700121325 19622828161 58868484483 98114140805 294342422415 490570704025 1471712112075 1628694737363 4886084212089 8143473686815 24430421060445 40717368434075 122152105302225