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121829702377 = 1710170954981
BaseRepresentation
bin111000101110110011…
…1011011101011101001
3102122110112002010022011
41301131213123223221
53444001400434002
6131545013155521
711542024245445
oct1613547335351
9378415063264
10121829702377
1147738766649
121b74062bba1
13b6472a6ab6
145c7a351825
1532809298d7
hex1c5d9dbae9

121829702377 has 8 divisors (see below), whose sum is σ = 130273346952. Its totient is φ = 113527968000.

The previous prime is 121829702327. The next prime is 121829702387. The reversal of 121829702377 is 773207928121.

It can be written as a sum of positive squares in 4 ways, for example, as 26835681856 + 94994020521 = 163816^2 + 308211^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 121829702377 - 27 = 121829702249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 121829702377.

It is not an unprimeable number, because it can be changed into a prime (121829702327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35475774 + ... + 35479207.

It is an arithmetic number, because the mean of its divisors is an integer number (16284168369).

Almost surely, 2121829702377 is an apocalyptic number.

121829702377 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

121829702377 is a deficient number, since it is larger than the sum of its proper divisors (8443644575).

121829702377 is a wasteful number, since it uses less digits than its factorization.

121829702377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70955099.

The product of its (nonzero) digits is 592704, while the sum is 49.

The spelling of 121829702377 in words is "one hundred twenty-one billion, eight hundred twenty-nine million, seven hundred two thousand, three hundred seventy-seven".

Divisors: 1 17 101 1717 70954981 1206234677 7166453081 121829702377