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121302344200131 = 327316322710614703
BaseRepresentation
bin11011100101001011100111…
…001000101110111111000011
3120220111101112221011012012200
4123211023213020232333003
5111344404200103401011
61105553305544524243
734356543112220343
oct3345134710567703
9526441487135180
10121302344200131
1135718042a56686
1211731259780683
13528b9ba0a3783
1421d50c9ab0d23
15e0554427d856
hex6e52e722efc3

121302344200131 has 96 divisors (see below), whose sum is σ = 179698973755392. Its totient is φ = 78830755822080.

The previous prime is 121302344200117. The next prime is 121302344200153. The reversal of 121302344200131 is 131002443203121.

121302344200131 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 0 + 234 + 420 + 0 + 1 + 3 + 1 = 666.

It is not a de Polignac number, because 121302344200131 - 27 = 121302344200003 is a prime.

It is a super-2 number, since 2×1213023442001312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121302344200095 and 121302344200104.

It is not an unprimeable number, because it can be changed into a prime (121302344200171) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25792543726 + ... + 25792548428.

It is an arithmetic number, because the mean of its divisors is an integer number (1871864309952).

Almost surely, 2121302344200131 is an apocalyptic number.

121302344200131 is a deficient number, since it is larger than the sum of its proper divisors (58396629555261).

121302344200131 is a wasteful number, since it uses less digits than its factorization.

121302344200131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6233 (or 6230 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 121302344200131 its reverse (131002443203121), we get a palindrome (252304787403252).

The spelling of 121302344200131 in words is "one hundred twenty-one trillion, three hundred two billion, three hundred forty-four million, two hundred thousand, one hundred thirty-one".

Divisors: 1 3 9 73 163 219 227 489 657 681 1061 1467 2043 3183 4703 9549 11899 14109 16571 35697 37001 42327 49713 77453 107091 111003 149139 172943 232359 240847 333009 343319 518829 697077 722541 766589 1029957 1067581 1556487 2167623 2299767 2701073 3089871 3202743 4989883 6899301 8103219 9608229 12624839 14969649 17581831 24309657 37874517 39258061 44908947 52745493 55960997 77933413 113623551 117774183 158236479 167882991 174015703 233800239 353322549 364261459 503648973 522047109 701400717 813350929 1092784377 1132703441 1566141327 2440052787 2865838453 3278353131 3398110323 7320158361 8597515359 10194330969 12703146319 25792546077 38109438957 59374617817 82687351193 114328316871 178123853451 184630660883 248062053579 534371560353 553891982649 744186160737 1661675947947 13478038244459 40434114733377 121302344200131