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1120113308097 = 327139397322193
BaseRepresentation
bin10000010011001011111…
…101001011000111000001
310222002012121210200110200
4100103023331023013001
5121322443001324342
62214323431315413
7143632311011520
oct20231375130701
93862177720420
101120113308097
113a2045841073
1216110381bb69
138181aaa5c04
143c2dc8464b7
151e20b64e94c
hex104cbf4b1c1

1120113308097 has 48 divisors (see below), whose sum is σ = 1867075566720. Its totient is φ = 633857342976.

The previous prime is 1120113308089. The next prime is 1120113308101. The reversal of 1120113308097 is 7908033110211.

It is not a de Polignac number, because 1120113308097 - 23 = 1120113308089 is a prime.

It is a super-3 number, since 3×11201133080973 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1120113308297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3315433 + ... + 3637625.

It is an arithmetic number, because the mean of its divisors is an integer number (38897407640).

Almost surely, 21120113308097 is an apocalyptic number.

It is an amenable number.

1120113308097 is a deficient number, since it is larger than the sum of its proper divisors (746962258623).

1120113308097 is a wasteful number, since it uses less digits than its factorization.

1120113308097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322742 (or 322739 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 1120113308097 in words is "one trillion, one hundred twenty billion, one hundred thirteen million, three hundred eight thousand, ninety-seven".

Divisors: 1 3 7 9 21 63 139 397 417 973 1191 1251 2779 2919 3573 8337 8757 25011 55183 165549 322193 386281 496647 966579 1158843 2255351 2899737 3476529 6766053 20298159 44784827 127910621 134354481 313493789 383731863 403063443 895374347 940481367 1151195589 2686123041 2821444101 8058369123 17779576319 53338728957 124457034233 160016186871 373371102699 1120113308097