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121414034010132 = 223217657130191591
BaseRepresentation
bin11011100110110011101000…
…010111100011000000010100
3120220220001211210020102010100
4123212303220113203000110
5111403221420201311012
61110120500501054100
734400605643022513
oct3346635027430024
9526801753212110
10121414034010132
1135760447a39a86
121174aa2a3b7330
1352993a96bca46
1421da68348667a
15e083ce8b58dc
hex6e6ce85e3014

121414034010132 has 72 divisors (see below), whose sum is σ = 325010555618112. Its totient is φ = 38084879289600.

The previous prime is 121414034010131. The next prime is 121414034010209. The reversal of 121414034010132 is 231010430414121.

It is a happy number.

121414034010132 is a `hidden beast` number, since 1 + 2 + 141 + 40 + 340 + 10 + 132 = 666.

It is a super-2 number, since 2×1214140340101322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121414034010096 and 121414034010105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121414034010131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11074344 + ... + 19117247.

It is an arithmetic number, because the mean of its divisors is an integer number (4514035494696).

Almost surely, 2121414034010132 is an apocalyptic number.

121414034010132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121414034010132 is an abundant number, since it is smaller than the sum of its proper divisors (203596521607980).

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

121414034010132 is a wasteful number, since it uses less digits than its factorization.

121414034010132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30198189 (or 30198184 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 121414034010132 its reverse (231010430414121), we get a palindrome (352424464424253).

The spelling of 121414034010132 in words is "one hundred twenty-one trillion, four hundred fourteen billion, thirty-four million, ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 6571 13142 19713 26284 39426 59139 78852 111707 118278 223414 236556 335121 446828 670242 1005363 1340484 2010726 4021452 30191591 60383182 90574773 120766364 181149546 271724319 362299092 513257047 543448638 1026514094 1086897276 1539771141 2053028188 3079542282 4619313423 6159084564 9238626846 18477253692 198388944461 396777888922 595166833383 793555777844 1190333666766 1785500500149 2380667333532 3372612055837 3571001000298 6745224111674 7142002000596 10117836167511 13490448223348 20235672335022 30353508502533 40471344670044 60707017005066 121414034010132