Search a number
-
+
10120110022010 = 25174711314975227
BaseRepresentation
bin1001001101000100010110…
…0100000001110101111010
31022211110202212102120011002
42103101011210001311322
52311301441131201020
633305040411405002
72063103521602502
oct223210544016572
938743685376132
1010120110022010
113251a0730531a
121175418453762
13585426084c71
1426db5cd14a02
151283a98cc975
hex93445901d7a

10120110022010 has 128 divisors (see below), whose sum is σ = 20006074137600. Its totient is φ = 3671009542144.

The previous prime is 10120110021991. The next prime is 10120110022049. The reversal of 10120110022010 is 1022001102101.

It is a junction number, because it is equal to n+sod(n) for n = 10120110021982 and 10120110022000.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 134490017 + ... + 134565243.

It is an arithmetic number, because the mean of its divisors is an integer number (156297454200).

Almost surely, 210120110022010 is an apocalyptic number.

10120110022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10120110022010 is a deficient number, since it is larger than the sum of its proper divisors (9885964115590).

10120110022010 is a wasteful number, since it uses less digits than its factorization.

10120110022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75560.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10120110022010 its reverse (1022001102101), we get a palindrome (11142111124111).

The spelling of 10120110022010 in words is "ten trillion, one hundred twenty billion, one hundred ten million, twenty-two thousand, ten".

Divisors: 1 2 5 10 17 34 47 85 94 113 149 170 226 235 298 470 565 745 799 1130 1490 1598 1921 2533 3842 3995 5066 5311 7003 7990 9605 10622 12665 14006 16837 19210 25330 26555 33674 35015 53110 70030 75227 84185 90287 119051 150454 168370 180574 238102 286229 376135 451435 572458 595255 752270 791339 902870 1190510 1278859 1431145 1582678 2557718 2862290 3535669 3956695 6394295 7071338 7913390 8500651 11208823 12788590 13452763 17001302 17678345 22417646 26905526 35356690 42503255 56044115 60106373 67263815 85006510 112088230 120212746 134527630 144511067 190549991 289022134 300531865 381099982 399530597 526814681 601063730 722555335 799061194 952749955 1053629362 1266596999 1445110670 1905499910 1997652985 2533193998 2634073405 3995305970 5268146810 6332984995 6792020149 8955849577 12665969990 13584040298 17911699154 21532148983 33960100745 43064297966 44779247885 59530058953 67920201490 89558495770 107660744915 119060117906 215321489830 297650294765 595300589530 1012011002201 2024022004402 5060055011005 10120110022010