Search a number
-
+
1203181838140 = 2254325155710007
BaseRepresentation
bin10001100000100011001…
…110011101111100111100
311021000121210220020100111
4101200203032131330330
5124203104022310030
62320422322235404
7152632652611042
oct21404316357474
94230553806314
101203181838140
114242a2865197
121752271b5b64
13895c8867979
144233cd46392
152146e1ec62a
hex1182339df3c

1203181838140 has 96 divisors (see below), whose sum is σ = 2600662546944. Its totient is φ = 467320224000.

The previous prime is 1203181838087. The next prime is 1203181838141. The reversal of 1203181838140 is 418381813021.

It is a junction number, because it is equal to n+sod(n) for n = 1203181838093 and 1203181838102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1203181838141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120229017 + ... + 120239023.

It is an arithmetic number, because the mean of its divisors is an integer number (27090234864).

Almost surely, 21203181838140 is an apocalyptic number.

1203181838140 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 1203181838140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300331273472).

1203181838140 is an abundant number, since it is smaller than the sum of its proper divisors (1397480708804).

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

1203181838140 is a wasteful number, since it uses less digits than its factorization.

1203181838140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10867 (or 10865 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

The spelling of 1203181838140 in words is "one trillion, two hundred three billion, one hundred eighty-one million, eight hundred thirty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 251 430 502 557 860 1004 1114 1255 2228 2510 2785 5020 5570 10007 10793 11140 20014 21586 23951 40028 43172 47902 50035 53965 95804 100070 107930 119755 139807 200140 215860 239510 279614 430301 479020 559228 699035 860602 1398070 1721204 2151505 2511757 2796140 4303010 5023514 5573899 6011701 8606020 10047028 11147798 12023402 12558785 22295596 24046804 25117570 27869495 30058505 50235140 55738990 60117010 108005551 111477980 120234020 216011102 239677657 432022204 479355314 540027755 958710628 1080055510 1198388285 1399048649 2160111020 2396776570 2798097298 4793553140 5596194596 6995243245 13990486490 27980972980 60159091907 120318183814 240636367628 300795459535 601590919070 1203181838140