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1213113352032 = 253223187197883
BaseRepresentation
bin10001101001110011001…
…100001011111101100000
311021222020221210102012100
4101221303030023331200
5124333424004231112
62325144021130400
7153434036233041
oct21516314137540
94258227712170
101213113352032
1142852995260a
12177139259a00
138a51c2c66ca
1442a01d5c8c8
152185107d2dc
hex11a7330bf60

1213113352032 has 144 divisors (see below), whose sum is σ = 3601742796288. Its totient is φ = 386579086080.

The previous prime is 1213113352027. The next prime is 1213113352039. The reversal of 1213113352032 is 2302533113121.

1213113352032 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 1 + 133 + 520 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1213113351987 and 1213113352005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213113352039) 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, 12344563 + ... + 12442445.

It is an arithmetic number, because the mean of its divisors is an integer number (25012102752).

Almost surely, 21213113352032 is an apocalyptic number.

1213113352032 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 1213113352032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800871398144).

1213113352032 is an abundant number, since it is smaller than the sum of its proper divisors (2388629444256).

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

1213113352032 is a wasteful number, since it uses less digits than its factorization.

1213113352032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99793 (or 99782 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 1213113352032 its reverse (2302533113121), we get a palindrome (3515646465153).

The spelling of 1213113352032 in words is "one trillion, two hundred thirteen billion, one hundred thirteen million, three hundred fifty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 1871 2208 3312 3742 5613 6624 7484 11226 14968 16839 22452 29936 33678 43033 44904 59872 67356 86066 89808 97883 129099 134712 172132 179616 195766 258198 269424 293649 344264 387297 391532 516396 538848 587298 688528 774594 783064 880947 1032792 1174596 1377056 1549188 1566128 1761894 2065584 2251309 2349192 3098376 3132256 3523788 4131168 4502618 4698384 6196752 6753927 7047576 9005236 9396768 12393504 13507854 14095152 18010472 20261781 27015708 28190304 36020944 40523562 54031416 72041888 81047124 108062832 162094248 183139093 216125664 324188496 366278186 549417279 648376992 732556372 1098834558 1465112744 1648251837 2197669116 2930225488 3296503674 4212199139 4395338232 5860450976 6593007348 8424398278 8790676464 12636597417 13186014696 16848796556 17581352928 25273194834 26372029392 33697593112 37909792251 50546389668 52744058784 67395186224 75819584502 101092779336 134790372448 151639169004 202185558672 303278338008 404371117344 606556676016 1213113352032