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121004031141441 = 32753127767337189
BaseRepresentation
bin11011100000110101110010…
…010010101110011001000001
3120212102212112222111122220100
4123200311302102232121001
5111330012223433011231
61105204252352433013
734326152460111150
oct3340656222563101
9525385488448810
10121004031141441
1135612581013358
12116a3485248769
1352698288cb5b6
1421c48aaa15597
15dec8d4c441e6
hex6e0d724ae641

121004031141441 has 96 divisors (see below), whose sum is σ = 205156386938880. Its totient is φ = 67295776084992.

The previous prime is 121004031141353. The next prime is 121004031141467. The reversal of 121004031141441 is 144141130400121.

121004031141441 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 0 + 403 + 114 + 144 + 1 = 666.

It is not a de Polignac number, because 121004031141441 - 215 = 121004031108673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121004031141841) 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, 3253740075 + ... + 3253777263.

It is an arithmetic number, because the mean of its divisors is an integer number (2137045697280).

Almost surely, 2121004031141441 is an apocalyptic number.

It is an amenable number.

121004031141441 is a deficient number, since it is larger than the sum of its proper divisors (84152355797439).

121004031141441 is a wasteful number, since it uses less digits than its factorization.

121004031141441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45055 (or 45052 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 121004031141441 its reverse (144141130400121), we get a palindrome (265145161541562).

The spelling of 121004031141441 in words is "one hundred twenty-one trillion, four billion, thirty-one million, one hundred forty-one thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 53 63 127 159 371 381 477 889 1113 1143 2667 3339 6731 7673 8001 20193 23019 37189 47117 53711 60579 69057 111567 141351 161133 260323 334701 406669 424053 483399 780969 974471 1220007 1971017 2342907 2846683 2923413 3660021 4723003 5913051 6821297 8540049 8770239 13797119 14169009 17739153 20463891 25620147 33061021 41391357 42507027 51646963 61391673 99183063 124174071 154940889 250319159 285351197 297549189 361528741 464822667 750957477 856053591 1084586223 1752234113 1997458379 2252872431 2568160773 3253758669 5256702339 5992375137 15123613441 15770107017 17977125411 36239602019 45370840323 105865294087 108718806057 136112520969 253677214133 317595882261 326156418171 761031642399 952787646783 1920698907007 2283094927197 5762096721021 13444892349049 17286290163063 40334677047147 121004031141441