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10322201032 = 231113171035153
BaseRepresentation
bin10011001110100000…
…00100100111001000
3222122101001010211221
421213100010213020
5132114440413112
64424132331424
7513536155363
oct114720044710
928571033757
1010322201032
114417682460
122000a73b74
13c8668c480
146dcc750da
15406304e07
hex2674049c8

10322201032 has 128 divisors (see below), whose sum is σ = 24313685760. Its totient is φ = 4035870720.

The previous prime is 10322200963. The next prime is 10322201047. The reversal of 10322201032 is 23010222301.

It is a junction number, because it is equal to n+sod(n) for n = 10322200997 and 10322201015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2000568 + ... + 2005720.

It is an arithmetic number, because the mean of its divisors is an integer number (189950670).

Almost surely, 210322201032 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 10322201032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12156842880).

10322201032 is an abundant number, since it is smaller than the sum of its proper divisors (13991484728).

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

10322201032 is a wasteful number, since it uses less digits than its factorization.

10322201032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5303 (or 5299 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10322201032 its reverse (23010222301), we get a palindrome (33332423333).

The spelling of 10322201032 in words is "ten billion, three hundred twenty-two million, two hundred one thousand, thirty-two".

Divisors: 1 2 4 8 11 13 17 22 26 34 44 52 68 88 103 104 136 143 187 206 221 286 374 412 442 572 748 824 884 1133 1144 1339 1496 1751 1768 2266 2431 2678 3502 4532 4862 5153 5356 7004 9064 9724 10306 10712 14008 14729 19261 19448 20612 22763 29458 38522 41224 45526 56683 58916 66989 77044 87601 91052 113366 117832 133978 154088 175202 182104 226732 250393 267956 350404 453464 500786 530759 535912 700808 736879 963611 1001572 1061518 1138813 1473758 1927222 2003144 2123036 2277626 2947516 3854444 4246072 4555252 5838349 5895032 6899867 7708888 9022903 9110504 11676698 12526943 13799734 18045806 23353396 25053886 27599468 36091612 46706792 50107772 55198936 72183224 75898537 99251933 100215544 117297739 151797074 198503866 234595478 303594148 397007732 469190956 607188296 794015464 938381912 1290275129 2580550258 5161100516 10322201032