Search a number
-
+
102113041030 = 25711213927373
BaseRepresentation
bin101111100011001101…
…0010101101010000110
3100202120102200221121121
41133012122111222012
53133111414303110
6114524324504154
710243312345660
oct1370632255206
9322512627547
10102113041030
113a340171100
121795954b05a
139824515390
144d29943530
1529c99cacda
hex17c6695a86

102113041030 has 96 divisors (see below), whose sum is σ = 248654935872. Its totient is φ = 29379144960.

The previous prime is 102113040983. The next prime is 102113041061. The reversal of 102113041030 is 30140311201.

It is a junction number, because it is equal to n+sod(n) for n = 102113040995 and 102113041013.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 353577 + ... + 573796.

It is an arithmetic number, because the mean of its divisors is an integer number (2590155582).

Almost surely, 2102113041030 is an apocalyptic number.

102113041030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102113041030 is an abundant number, since it is smaller than the sum of its proper divisors (146541894842).

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

102113041030 is a wasteful number, since it uses less digits than its factorization.

102113041030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927422 (or 927411 counting only the distinct ones).

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

Adding to 102113041030 its reverse (30140311201), we get a palindrome (132253352231).

The spelling of 102113041030 in words is "one hundred two billion, one hundred thirteen million, forty-one thousand, thirty".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 121 130 143 154 182 242 286 385 455 605 715 770 847 910 1001 1210 1430 1573 1694 2002 3146 4235 5005 7865 8470 10010 11011 15730 22022 55055 110110 927373 1854746 4636865 6491611 9273730 10201103 12055849 12983222 20402206 24111698 32458055 51005515 60279245 64916110 71407721 84390943 102011030 112212133 120558490 132614339 142815442 168781886 224424266 265228678 357038605 421954715 561060665 663071695 714077210 785484931 843909430 928300373 1122121330 1326143390 1458757729 1570969862 1856600746 2917515458 3927424655 4641501865 7293788645 7854849310 9283003730 10211304103 14587577290 20422608206 51056520515 102113041030