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121113310330332 = 223219836013549631
BaseRepresentation
bin11011100010011011100011…
…110101101111110111011100
3120212211022121211120122022200
4123202123203311233313130
5111333310024421032312
61105330404153011500
734340101506642405
oct3342334365576734
9525738554518280
10121113310330332
113565495929a401
12117006a26b3b90
135276c22980748
1421c9cb61a49ac
15e0067d9080dc
hex6e26e3d6fddc

121113310330332 has 144 divisors (see below), whose sum is σ = 326685979576320. Its totient is φ = 37722627936000.

The previous prime is 121113310330303. The next prime is 121113310330357. The reversal of 121113310330332 is 233033013311121.

121113310330332 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 13 + 310 + 3 + 3 + 0 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 121113310330296 and 121113310330305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32345157 + ... + 35894787.

Almost surely, 2121113310330332 is an apocalyptic number.

121113310330332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121113310330332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163342989788160).

121113310330332 is an abundant number, since it is smaller than the sum of its proper divisors (205572669245988).

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

121113310330332 is a wasteful number, since it uses less digits than its factorization.

121113310330332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3550344 (or 3550339 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 121113310330332 its reverse (233033013311121), we get a palindrome (354146323641453).

The spelling of 121113310330332 in words is "one hundred twenty-one trillion, one hundred thirteen billion, three hundred ten million, three hundred thirty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 83 114 166 171 228 249 332 342 498 601 684 747 996 1202 1494 1577 1803 2404 2988 3154 3606 4731 5409 6308 7212 9462 10818 11419 14193 18924 21636 22838 28386 34257 45676 49883 56772 68514 99766 102771 137028 149649 199532 205542 299298 411084 448947 598596 897894 947777 1795788 1895554 2843331 3549631 3791108 5686662 7099262 8529993 10648893 11373324 14198524 17059986 21297786 31946679 34119972 42595572 63893358 67442989 127786716 134885978 202328967 269771956 294619373 404657934 589238746 606986901 809315868 883858119 1178477492 1213973802 1767716238 2133328231 2427947604 2651574357 3535432476 4266656462 5303148714 5597768087 6399984693 8533312924 10606297428 11195536174 12799969386 16793304261 19199954079 22391072348 25599938772 33586608522 38399908158 40533236389 50379912783 67173217044 76799816316 81066472778 100759825566 121599709167 162132945556 177066243173 201519651132 243199418334 354132486346 364799127501 486398836668 531198729519 708264972692 729598255002 1062397459038 1459196510004 1593596188557 2124794918076 3187192377114 3364258620287 6374384754228 6728517240574 10092775860861 13457034481148 20185551721722 30278327582583 40371103443444 60556655165166 121113310330332