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10320245422146 = 23211237131918219
BaseRepresentation
bin1001011000101101111010…
…0011111111100001000010
31100112121100122111021201100
42112023132203333201002
52323041330312002041
633541015535515230
72113420205461212
oct226133643774102
940477318437640
1010320245422146
113319878546660
1211a8171388b16
1359b26c46085a
14279706da0242
1512d6beb9a6b6
hex962de8ff842

10320245422146 has 96 divisors (see below), whose sum is σ = 25812392186880. Its totient is φ = 2949243343200.

The previous prime is 10320245422133. The next prime is 10320245422189. The reversal of 10320245422146 is 64122454202301.

10320245422146 is a `hidden beast` number, since 1 + 0 + 32 + 0 + 24 + 542 + 21 + 46 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10320245422146.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15635776 + ... + 16282443.

It is an arithmetic number, because the mean of its divisors is an integer number (268879085280).

Almost surely, 210320245422146 is an apocalyptic number.

10320245422146 is an abundant number, since it is smaller than the sum of its proper divisors (15492146764734).

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

10320245422146 is a wasteful number, since it uses less digits than its factorization.

10320245422146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31918332 (or 31918329 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 10320245422146 its reverse (64122454202301), we get a palindrome (74442699624447).

The spelling of 10320245422146 in words is "ten trillion, three hundred twenty billion, two hundred forty-five million, four hundred twenty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 71 99 138 142 198 207 213 253 414 426 506 639 759 781 1278 1518 1562 1633 2277 2343 3266 4554 4686 4899 7029 9798 14058 14697 17963 29394 35926 53889 107778 161667 323334 31918219 63836438 95754657 191509314 287263971 351100409 574527942 702200818 734119037 1053301227 1468238074 2106602454 2202357111 2266193549 3159903681 4404714222 4532387098 6319807362 6607071333 6798580647 8075309407 13214142666 13597161294 16150618814 20395741941 24225928221 24928129039 40791483882 48451856442 49856258078 52122451627 72677784663 74784387117 104244903254 145355569326 149568774234 156367354881 224353161351 312734709762 448706322702 469102064643 573346967897 938204129286 1146693935794 1720040903691 3440081807382 5160122711073 10320245422146