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23233201033032 = 23321729654530117
BaseRepresentation
bin1010100100001011001101…
…01100011100111101001000
310001021001221201121200210100
411102011212230130331020
511021123043431024112
6121225104001045400
74615354244243454
oct522054654347510
9101231851550710
1023233201033032
117448166327491
122732900026860
13cc6b5c738983
145a46c8857664
152a45376cc2dc
hex152166b1cf48

23233201033032 has 96 divisors (see below), whose sum is σ = 68922021425400. Its totient is φ = 7037507807232.

The previous prime is 23233201032961. The next prime is 23233201033033. The reversal of 23233201033032 is 23033010233232.

23233201033032 is a `hidden beast` number, since 2 + 3 + 2 + 3 + 320 + 1 + 0 + 330 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23232265040196 + 935992836 = 4819986^2 + 30594^2 .

It is a super-2 number, since 2×232332010330322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23233201032987 and 23233201033005.

It is not an unprimeable number, because it can be changed into a prime (23233201033033) 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, 327229563 + ... + 327300554.

Almost surely, 223233201033032 is an apocalyptic number.

It is an amenable number.

23233201033032 is an abundant number, since it is smaller than the sum of its proper divisors (45688820392368).

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

23233201033032 is a wasteful number, since it uses less digits than its factorization.

23233201033032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654530175 (or 654530168 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 23233201033032 its reverse (23033010233232), we get a palindrome (46266211266264).

The spelling of 23233201033032 in words is "twenty-three trillion, two hundred thirty-three billion, two hundred one million, thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 29 34 36 51 58 68 72 87 102 116 136 153 174 204 232 261 306 348 408 493 522 612 696 986 1044 1224 1479 1972 2088 2958 3944 4437 5916 8874 11832 17748 35496 654530117 1309060234 1963590351 2618120468 3927180702 5236240936 5890771053 7854361404 11127011989 11781542106 15708722808 18981373393 22254023978 23563084212 33381035967 37962746786 44508047956 47126168424 56944120179 66762071934 75925493572 89016095912 100143107901 113888240358 133524143868 151850987144 170832360537 200286215802 227776480716 267048287736 322683347681 341664721074 400572431604 455552961432 645366695362 683329442148 801144863208 968050043043 1290733390724 1366658884296 1936100086086 2581466781448 2904150129129 3872200172172 5808300258258 7744400344344 11616600516516 23233201033032