Search a number
-
+
120403131000 = 2335382948413
BaseRepresentation
bin111000000100010010…
…1011111101001111000
3102111210002201210021020
41300020211133221320
53433041200143000
6131151252542440
711461462504305
oct1601045375170
9374702653236
10120403131000
1147076479439
121b402921a20
13b47a883b19
145b82ac40ac
1531ea586ba0
hex1c0895fa78

120403131000 has 128 divisors (see below), whose sum is σ = 376118683200. Its totient is φ = 32068108800.

The previous prime is 120403130983. The next prime is 120403131031. The reversal of 120403131000 is 131304021.

It is a super-2 number, since 2×1204031310002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 2462794 + ... + 2511206.

Almost surely, 2120403131000 is an apocalyptic number.

120403131000 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 120403131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188059341600).

120403131000 is an abundant number, since it is smaller than the sum of its proper divisors (255715552200).

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

120403131000 is a wasteful number, since it uses less digits than its factorization.

120403131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49266 (or 49252 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 120403131000 its reverse (131304021), we get a palindrome (120534435021).

The spelling of 120403131000 in words is "one hundred twenty billion, four hundred three million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 829 1000 1500 1658 2487 3000 3316 4145 4974 6632 8290 9948 12435 16580 19896 20725 24870 33160 41450 48413 49740 62175 82900 96826 99480 103625 124350 145239 165800 193652 207250 242065 248700 290478 310875 387304 414500 484130 497400 580956 621750 726195 829000 968260 1161912 1210325 1243500 1452390 1936520 2420650 2487000 2904780 3630975 4841300 5809560 6051625 7261950 9682600 12103250 14523900 18154875 24206500 29047800 36309750 40134377 48413000 72619500 80268754 120403131 145239000 160537508 200671885 240806262 321075016 401343770 481612524 602015655 802687540 963225048 1003359425 1204031310 1605375080 2006718850 2408062620 3010078275 4013437700 4816125240 5016797125 6020156550 8026875400 10033594250 12040313100 15050391375 20067188500 24080626200 30100782750 40134377000 60201565500 120403131000