Search a number
-
+
102102212028 = 22329379781749
BaseRepresentation
bin101111100010111000…
…1000001110110111100
3100202112200022210000110
41133011301001312330
53133101131241103
6114523300430020
710243121324355
oct1370561016674
9322480283013
10102102212028
113a335045113
12179559a8310
1398221c339b
144d28324d2c
1529c8a8c403
hex17c5c41dbc

102102212028 has 96 divisors (see below), whose sum is σ = 255727080000. Its totient is φ = 31642361856.

The previous prime is 102102212011. The next prime is 102102212059. The reversal of 102102212028 is 820212201201.

It is a junction number, because it is equal to n+sod(n) for n = 102102211995 and 102102212013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1208098 + ... + 1289846.

It is an arithmetic number, because the mean of its divisors is an integer number (2663823750).

Almost surely, 2102102212028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102102212028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127863540000).

102102212028 is an abundant number, since it is smaller than the sum of its proper divisors (153624867972).

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

102102212028 is a wasteful number, since it uses less digits than its factorization.

102102212028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81919 (or 81917 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 102102212028 its reverse (820212201201), we get a palindrome (922314413229).

The spelling of 102102212028 in words is "one hundred two billion, one hundred two million, two hundred twelve thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 29 37 58 74 87 97 111 116 148 174 194 222 291 348 388 444 582 1073 1164 2146 2813 3219 3589 4292 5626 6438 7178 8439 10767 11252 12876 14356 16878 21534 33756 43068 81749 104081 163498 208162 245247 312243 326996 416324 490494 624486 980988 1248972 2370721 3024713 4741442 6049426 7112163 7929653 9074139 9482884 12098852 14224326 15859306 18148278 23788959 28448652 31718612 36296556 47577918 87716677 95155836 175433354 229959937 263150031 293397161 350866708 459919874 526300062 586794322 689879811 880191483 919839748 1052600124 1173588644 1379759622 1760382966 2759519244 3520765932 8508517669 17017035338 25525553007 34034070676 51051106014 102102212028