Search a number
-
+
102112100000 = 25554323747
BaseRepresentation
bin101111100011001011…
…0101111111010100000
3100202120100221010202122
41133012112233322200
53133111144200000
6114524252403412
710243301346311
oct1370626577240
9322510833678
10102112100000
113a33a689099
1217959176568
139824275c61
144d2977a608
1529c9892085
hex17c65afea0

102112100000 has 144 divisors (see below), whose sum is σ = 257129855136. Its totient is φ = 39893280000.

The previous prime is 102112099997. The next prime is 102112100053. The reversal of 102112100000 is 1211201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4288127 + ... + 4311873.

It is an arithmetic number, because the mean of its divisors is an integer number (1785623994).

Almost surely, 2102112100000 is an apocalyptic number.

102112100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102112100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128564927568).

102112100000 is an abundant number, since it is smaller than the sum of its proper divisors (155017755136).

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

102112100000 is an frugal number, since it uses more digits than its factorization.

102112100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23825 (or 23797 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102112100000 its reverse (1211201), we get a palindrome (102113311201).

The spelling of 102112100000 in words is "one hundred two billion, one hundred twelve million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 125 160 172 200 215 250 344 400 430 500 625 688 800 860 1000 1075 1250 1376 1720 2000 2150 2500 3125 3440 4000 4300 5000 5375 6250 6880 8600 10000 10750 12500 17200 20000 21500 23747 25000 26875 34400 43000 47494 50000 53750 86000 94988 100000 107500 118735 134375 172000 189976 215000 237470 268750 379952 430000 474940 537500 593675 759904 860000 949880 1021121 1075000 1187350 1899760 2042242 2150000 2374700 2968375 3799520 4084484 4300000 4749400 5105605 5936750 8168968 9498800 10211210 11873500 14841875 16337936 18997600 20422420 23747000 25528025 29683750 32675872 40844840 47494000 51056050 59367500 74209375 81689680 94988000 102112100 118735000 127640125 148418750 163379360 204224200 237470000 255280250 296837500 408448400 474940000 510560500 593675000 638200625 816896800 1021121000 1187350000 1276401250 2042242000 2374700000 2552802500 3191003125 4084484000 5105605000 6382006250 10211210000 12764012500 20422420000 25528025000 51056050000 102112100000