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114211230225 = 35247791073833
BaseRepresentation
bin110101001011110000…
…1010001001000010001
3101220210120120122012220
41222113201101020101
53332401033331400
6124245023011253
711152155303411
oct1522741211021
9356716518186
10114211230225
1144489297774
121a175139b29
13aa01b08401
145756600641
152e86b947a0
hex1a97851211

114211230225 has 96 divisors (see below), whose sum is σ = 197164523520. Its totient is φ = 58296675840.

The previous prime is 114211230197. The next prime is 114211230241. The reversal of 114211230225 is 522032112411.

It is a happy number.

It is not a de Polignac number, because 114211230225 - 28 = 114211229969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114211230195 and 114211230204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29794909 + ... + 29798741.

It is an arithmetic number, because the mean of its divisors is an integer number (2053797120).

Almost surely, 2114211230225 is an apocalyptic number.

114211230225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114211230225 is a deficient number, since it is larger than the sum of its proper divisors (82953293295).

114211230225 is a wasteful number, since it uses less digits than its factorization.

114211230225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 114211230225 its reverse (522032112411), we get a palindrome (636243342636).

The spelling of 114211230225 in words is "one hundred fourteen billion, two hundred eleven million, two hundred thirty thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 47 75 79 107 141 235 237 321 395 535 705 1175 1185 1605 1975 2675 3525 3713 3833 5029 5925 8025 8453 11139 11499 15087 18565 19165 25145 25359 42265 55695 57495 75435 92825 95825 125725 126795 180151 211325 278475 287475 302807 377175 397291 410131 540453 633975 900755 908421 1191873 1230393 1514035 1986455 2050655 2702265 4503775 4542105 5959365 6151965 7570175 9932275 10253275 13511325 14231929 19276157 22710525 29796825 30759825 32400349 42695787 57828471 71159645 96380785 97201047 162001745 213478935 289142355 355798225 481903925 486005235 810008725 1067394675 1445711775 1522816403 2430026175 4568449209 7614082015 22842246045 38070410075 114211230225