Search a number
-
+
103020231131000 = 2353499367156239
BaseRepresentation
bin10111011011001001000100…
…010001111111111101111000
3111111202122020001000202002222
4113123021010101333331320
5102000340413132143000
61003034501341343212
730461652236156501
oct2733110421777570
9444678201022088
10103020231131000
112a9096a8818027
12b67a016b67b08
1345639c61b7781
141b622c4997ba8
15bd9bd51d7a85
hex5db24447ff78

103020231131000 has 128 divisors (see below), whose sum is σ = 241620537600000. Its totient is φ = 41113577232000.

The previous prime is 103020231130991. The next prime is 103020231131039. The reversal of 103020231131000 is 131132020301.

It is a super-2 number, since 2×1030202311310002 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103020231131000.

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, 1831800881 + ... + 1831857119.

It is an arithmetic number, because the mean of its divisors is an integer number (1887660450000).

Almost surely, 2103020231131000 is an apocalyptic number.

103020231131000 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 103020231131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120810268800000).

103020231131000 is an abundant number, since it is smaller than the sum of its proper divisors (138600306469000).

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

103020231131000 is a wasteful number, since it uses less digits than its factorization.

103020231131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60430 (or 60416 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 103020231131000 its reverse (131132020301), we get a palindrome (103151363151301).

The spelling of 103020231131000 in words is "one hundred three trillion, twenty billion, two hundred thirty-one million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 499 500 998 1000 1996 2495 3671 3992 4990 7342 9980 12475 14684 18355 19960 24950 29368 36710 49900 56239 62375 73420 91775 99800 112478 124750 146840 183550 224956 249500 281195 367100 449912 458875 499000 562390 734200 917750 1124780 1405975 1831829 1835500 2249560 2811950 3663658 3671000 5623900 7029875 7327316 9159145 11247800 14059750 14654632 18318290 28063261 28119500 36636580 45795725 56126522 56239000 73273160 91591450 112253044 140316305 183182900 206453369 224506088 228978625 280632610 366365800 412906738 457957250 561265220 701581525 825813476 915914500 1032266845 1122530440 1403163050 1651626952 1831829000 2064533690 2806326100 3507907625 4129067380 5161334225 5612652200 7015815250 8258134760 10322668450 14031630500 20645336900 25806671125 28063261000 41290673800 51613342250 103020231131 103226684500 206040462262 206453369000 412080924524 515101155655 824161849048 1030202311310 2060404622620 2575505778275 4120809245240 5151011556550 10302023113100 12877528891375 20604046226200 25755057782750 51510115565500 103020231131000