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121101356016630 = 232511211120418367
BaseRepresentation
bin11011100010010000011011…
…010011101010001111110110
3120212210011202201102120210100
4123202100123103222033312
5111333111034120013010
61105321110034334530
734336166331646023
oct3342203323521766
9525704681376710
10121101356016630
113564a884402600
12116ba30712a446
135275a69123a42
1421c94a067a54a
15e001ce1ae2c0
hex6e241b4ea3f6

121101356016630 has 72 divisors (see below), whose sum is σ = 346089660448896. Its totient is φ = 29357904486240.

The previous prime is 121101356016617. The next prime is 121101356016643. The reversal of 121101356016630 is 36610653101121.

121101356016630 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 0 + 1 + 3 + 5 + 6 + 0 + 16 + 630 = 666.

121101356016630 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (121101356016617) and next prime (121101356016643).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5560198294 + ... + 5560220073.

It is an arithmetic number, because the mean of its divisors is an integer number (4806800839568).

Almost surely, 2121101356016630 is an apocalyptic number.

121101356016630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121101356016630 is an abundant number, since it is smaller than the sum of its proper divisors (224988304432266).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121101356016630 is a wasteful number, since it uses less digits than its factorization.

121101356016630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11120418402 (or 11120418388 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 121101356016630 in words is "one hundred twenty-one trillion, one hundred one billion, three hundred fifty-six million, sixteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 10890 11120418367 22240836734 33361255101 55602091835 66722510202 100083765303 111204183670 122324602037 166806275505 200167530606 244649204074 333612551010 366973806111 500418826515 611623010185 733947612222 1000837653030 1100921418333 1223246020370 1345570622407 1834869030555 2201842836666 2691141244814 3669738061110 4036711867221 5504607091665 6727853112035 8073423734442 11009214183330 12110135601663 13455706224070 20183559336105 24220271203326 40367118672210 60550678008315 121101356016630