Search a number
-
+
102012110130 = 23572931540347
BaseRepresentation
bin101111100000001100…
…1010100010100110010
3100202022101210010110010
41133000121110110302
53132410100011010
6114510321315350
710240645425540
oct1370031242462
9322271703403
10102012110130
113a2991a4237
121792b795b56
139809636c58
144d1a38cd90
1529c0be0620
hex17c0654532

102012110130 has 128 divisors (see below), whose sum is σ = 298790830080. Its totient is φ = 21786750720.

The previous prime is 102012110117. The next prime is 102012110143. The reversal of 102012110130 is 31011210201.

It is an interprime number because it is at equal distance from previous prime (102012110117) and next prime (102012110143).

It is a super-2 number, since 2×1020121101302 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81384 + ... + 458963.

It is an arithmetic number, because the mean of its divisors is an integer number (2334303360).

Almost surely, 2102012110130 is an apocalyptic number.

102012110130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102012110130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149395415040).

102012110130 is an abundant number, since it is smaller than the sum of its proper divisors (196778719950).

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

102012110130 is a wasteful number, since it uses less digits than its factorization.

102012110130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540424.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 102012110130 its reverse (31011210201), we get a palindrome (133023320331).

The spelling of 102012110130 in words is "one hundred two billion, twelve million, one hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 31 35 42 58 62 70 87 93 105 145 155 174 186 203 210 217 290 310 406 434 435 465 609 651 870 899 930 1015 1085 1218 1302 1798 2030 2170 2697 3045 3255 4495 5394 6090 6293 6510 8990 12586 13485 18879 26970 31465 37758 62930 94395 188790 540347 1080694 1621041 2701735 3242082 3782429 5403470 7564858 8105205 11347287 15670063 16210410 16750757 18912145 22694574 31340126 33501514 37824290 47010189 50252271 56736435 78350315 83753785 94020378 100504542 109690441 113472870 117255299 156700630 167507570 219380882 234510598 235050945 251261355 329071323 351765897 470101890 485771953 502522710 548452205 586276495 658142646 703531794 971543906 1096904410 1172552990 1457315859 1645356615 1758829485 2428859765 2914631718 3290713230 3400403671 3517658970 4857719530 6800807342 7286579295 10201211013 14573158590 17002018355 20402422026 34004036710 51006055065 102012110130