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101026330704 = 24331329620311
BaseRepresentation
bin101111000010110100…
…0110111100001010000
3100122202200212100022000
41132011220313201100
53123400220040304
6114224424514000
710204345433205
oct1360550674120
9318680770260
10101026330704
11399328035a2
12176b561b900
1396b0338710
144c654a3cac
1529643bc939
hex1785a37850

101026330704 has 160 divisors (see below), whose sum is σ = 323058489600. Its totient is φ = 30013079040.

The previous prime is 101026330697. The next prime is 101026330721. The reversal of 101026330704 is 407033620101.

101026330704 is a `hidden beast` number, since 10 + 10 + 2 + 633 + 0 + 7 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 147292 + ... + 473019.

It is an arithmetic number, because the mean of its divisors is an integer number (2019115560).

Almost surely, 2101026330704 is an apocalyptic number.

It is an amenable number.

101026330704 is an abundant number, since it is smaller than the sum of its proper divisors (222032158896).

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

101026330704 is a wasteful number, since it uses less digits than its factorization.

101026330704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620370 (or 620358 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 101026330704 its reverse (407033620101), we get a palindrome (508059950805).

The spelling of 101026330704 in words is "one hundred one billion, twenty-six million, three hundred thirty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 36 39 48 52 54 58 72 78 87 104 108 116 117 144 156 174 208 216 232 234 261 312 348 351 377 432 464 468 522 624 696 702 754 783 936 1044 1131 1392 1404 1508 1566 1872 2088 2262 2808 3016 3132 3393 4176 4524 5616 6032 6264 6786 9048 10179 12528 13572 18096 20358 27144 40716 54288 81432 162864 620311 1240622 1860933 2481244 3721866 4962488 5582799 7443732 8064043 9924976 11165598 14887464 16128086 16748397 17989019 22331196 24192129 29774928 32256172 33496794 35978038 44662392 48384258 53967057 64512344 66993588 71956076 72576387 89324784 96768516 107934114 129024688 133987176 143912152 145152774 161901171 193537032 215868228 217729161 233857247 267974352 287824304 290305548 323802342 387074064 431736456 435458322 467714494 485703513 580611096 647604684 701571741 863472912 870916644 935428988 971407026 1161222192 1295209368 1403143482 1741833288 1870857976 1942814052 2104715223 2590418736 2806286964 3483666576 3741715952 3885628104 4209430446 5612573928 6314145669 7771256208 8418860892 11225147856 12628291338 16837721784 25256582676 33675443568 50513165352 101026330704