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321121023132 = 2237213139302227
BaseRepresentation
bin1001010110001000100…
…11011111010010011100
31010200212110212011122010
410223010103133102130
520230123440220012
6403304305551220
732125451442300
oct4530423372234
91120773764563
10321121023132
1111420649a618
125229a945510
1324387838230
1411784279d00
158546a64c3c
hex4ac44df49c

321121023132 has 144 divisors (see below), whose sum is σ = 945417540480. Its totient is φ = 84081691008.

The previous prime is 321121023131. The next prime is 321121023143. The reversal of 321121023132 is 231320121123.

It is a super-2 number, since 2×3211210231322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 321121023099 and 321121023108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321121023131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 911403 + ... + 1213629.

Almost surely, 2321121023132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321121023132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472708770240).

321121023132 is an abundant number, since it is smaller than the sum of its proper divisors (624296517348).

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

321121023132 is a wasteful number, since it uses less digits than its factorization.

321121023132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302400 (or 302391 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 321121023132 its reverse (231320121123), we get a palindrome (552441144255).

The spelling of 321121023132 in words is "three hundred twenty-one billion, one hundred twenty-one million, twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 139 147 156 182 196 273 278 294 364 417 546 556 588 637 834 973 1092 1274 1668 1807 1911 1946 2548 2919 3614 3822 3892 5421 5838 6811 7228 7644 10842 11676 12649 13622 20433 21684 25298 27244 37947 40866 50596 75894 81732 88543 151788 177086 265629 302227 354172 531258 604454 906681 1062516 1208908 1813362 2115589 3626724 3928951 4231178 6346767 7857902 8462356 11786853 12693534 14809123 15715804 23573706 25387068 27502657 29618246 42009553 44427369 47147412 55005314 59236492 82507971 84019106 88854738 110010628 126028659 165015942 168038212 177709476 192518599 252057318 294066871 330031884 385037198 504114636 546124189 577555797 588133742 770074396 882200613 1092248378 1155111594 1176267484 1638372567 1764401226 2058468097 2184496756 2310223188 3276745134 3528802452 3822869323 4116936194 6175404291 6553490268 7645738646 8233872388 11468607969 12350808582 15291477292 22937215938 24701617164 26760085261 45874431876 53520170522 80280255783 107040341044 160560511566 321121023132