Search a number
-
+
100022110130320 = 24572223114420827
BaseRepresentation
bin10110101111100000110110…
…010110000001000010010000
3111010011000112211102112011021
4112233200312112001002100
5101102230240143132240
6552421304551325224
730032234063144500
oct2657406626010220
9433130484375137
10100022110130320
1129963158663354
12b274b56380814
1343a7076a476b1
141a9b14b45da00
15b86c1090454a
hex5af836581090

100022110130320 has 120 divisors (see below), whose sum is σ = 271732074534144. Its totient is φ = 34139513011968.

The previous prime is 100022110130317. The next prime is 100022110130323. The reversal of 100022110130320 is 23031011220001.

It is an interprime number because it is at equal distance from previous prime (100022110130317) and next prime (100022110130323).

It is a super-3 number, since 3×1000221101303203 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 100022110130294 and 100022110130303.

It is not an unprimeable number, because it can be changed into a prime (100022110130323) 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 23 ways as a sum of consecutive naturals, for example, 56336254 + ... + 58084573.

Almost surely, 2100022110130320 is an apocalyptic number.

100022110130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022110130320 is an abundant number, since it is smaller than the sum of its proper divisors (171709964403824).

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

100022110130320 is a wasteful number, since it uses less digits than its factorization.

100022110130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114421077 (or 114421064 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100022110130320 its reverse (23031011220001), we get a palindrome (123053121350321).

The spelling of 100022110130320 in words is "one hundred trillion, twenty-two billion, one hundred ten million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 223 245 280 392 446 490 560 784 892 980 1115 1561 1784 1960 2230 3122 3568 3920 4460 6244 7805 8920 10927 12488 15610 17840 21854 24976 31220 43708 54635 62440 87416 109270 124880 174832 218540 437080 874160 114420827 228841654 457683308 572104135 800945789 915366616 1144208270 1601891578 1830733232 2288416540 3203783156 4004728945 4576833080 5606620523 6407566312 8009457890 9153666160 11213241046 12815132624 16018915780 22426482092 25515844421 28033102615 32037831560 44852964184 51031688842 56066205230 64075663120 89705928368 102063377684 112132410460 127579222105 178610910947 204126755368 224264820920 255158444210 357221821894 408253510736 448529641840 510316888420 714443643788 893054554735 1020633776840 1250276376629 1428887287576 1786109109470 2041267553680 2500552753258 2857774575152 3572218218940 5001105506516 6251381883145 7144436437880 10002211013032 12502763766290 14288872875760 20004422026064 25005527532580 50011055065160 100022110130320