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10323323133032 = 2371373526136923
BaseRepresentation
bin1001011000111001011000…
…0000100001110001101000
31100112220022010202012100102
42112032112000201301220
52323114131210224112
633542245201524532
72113556366544230
oct226162600416150
940486263665312
1010323323133032
113320107864378
1211a8890043748
1359b63cc83560
14279919a34cc0
1512d7eee8ebc2
hex96396021c68

10323323133032 has 128 divisors (see below), whose sum is σ = 24154641020160. Its totient is φ = 4027132753920.

The previous prime is 10323323133001. The next prime is 10323323133073. The reversal of 10323323133032 is 23033132332301.

It is a junction number, because it is equal to n+sod(n) for n = 10323323132986 and 10323323133004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279572123 + ... + 279609045.

It is an arithmetic number, because the mean of its divisors is an integer number (188708132970).

Almost surely, 210323323133032 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 10323323133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12077320510080).

10323323133032 is an abundant number, since it is smaller than the sum of its proper divisors (13831317887128).

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

10323323133032 is a wasteful number, since it uses less digits than its factorization.

10323323133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42283 (or 42279 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 29.

Adding to 10323323133032 its reverse (23033132332301), we get a palindrome (33356455465333).

The spelling of 10323323133032 in words is "ten trillion, three hundred twenty-three billion, three hundred twenty-three million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 73 91 104 146 182 292 364 511 584 728 949 1022 1898 2044 3796 4088 5261 6643 7592 10522 13286 21044 26572 36827 36923 42088 53144 68393 73654 73846 136786 147308 147692 258461 273572 294616 295384 384053 478751 479999 516922 547144 768106 957502 959998 1033844 1536212 1915004 1919996 2067688 2688371 2695379 3072424 3359993 3830008 3839992 4992689 5376742 5390758 6719986 9985378 10753484 10781516 13439972 18867653 19970756 21506968 21563032 26879944 34948823 35039927 37735306 39941512 69897646 70079854 75470612 139795292 140159708 150941224 194251903 245279489 279590584 280319416 388503806 490558978 777007612 981117956 1359763321 1554015224 1962235912 2525274739 2719526642 5050549478 5439053284 10101098956 10878106568 14180388919 17676923173 20202197912 28360777838 35353846346 56721555676 70707692692 99262722433 113443111352 141415385384 184345055947 198525444866 368690111894 397050889732 737380223788 794101779464 1290415391629 1474760447576 2580830783258 5161661566516 10323323133032