Search a number
-
+
10131231000300 = 2235283619657313
BaseRepresentation
bin1001001101101101110001…
…1011001100011011101100
31022212112110220111210101220
42103123130123030123230
52311442230114002200
633314120120503340
72063646230422644
oct223333433143354
938775426453356
1010131231000300
1132566a3862973
12117760091ab50
135864a90898a7
142704d5cb7524
1512880adb74a0
hex936dc6cc6ec

10131231000300 has 144 divisors (see below), whose sum is σ = 29714168588160. Its totient is φ = 2664795432960.

The previous prime is 10131231000299. The next prime is 10131231000307. The reversal of 10131231000300 is 300013213101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10131231000300.

It is not an unprimeable number, because it can be changed into a prime (10131231000307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15084444 + ... + 15741756.

Almost surely, 210131231000300 is an apocalyptic number.

10131231000300 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 10131231000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14857084294080).

10131231000300 is an abundant number, since it is smaller than the sum of its proper divisors (19582937587860).

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

10131231000300 is a wasteful number, since it uses less digits than its factorization.

10131231000300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658032 (or 658025 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10131231000300 its reverse (300013213101), we get a palindrome (10431244213401).

The spelling of 10131231000300 in words is "ten trillion, one hundred thirty-one billion, two hundred thirty-one million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 150 166 249 300 332 415 498 619 830 996 1238 1245 1660 1857 2075 2476 2490 3095 3714 4150 4980 6190 6225 7428 8300 9285 12380 12450 15475 18570 24900 30950 37140 46425 51377 61900 92850 102754 154131 185700 205508 256885 308262 513770 616524 657313 770655 1027540 1284425 1314626 1541310 1971939 2568850 2629252 3082620 3286565 3853275 3943878 5137700 6573130 7706550 7887756 9859695 13146260 15413100 16432825 19719390 32865650 39438780 49298475 54556979 65731300 98596950 109113958 163670937 197193900 218227916 272784895 327341874 406876747 545569790 654683748 813753494 818354685 1091139580 1220630241 1363924475 1627506988 1636709370 2034383735 2441260482 2727848950 3273418740 4068767470 4091773425 4882520964 5455697900 6103151205 8137534940 8183546850 10171918675 12206302410 16367093700 20343837350 24412604820 30515756025 33770770001 40687674700 61031512050 67541540002 101312310003 122063024100 135083080004 168853850005 202624620006 337707700010 405249240012 506561550015 675415400020 844269250025 1013123100030 1688538500050 2026246200060 2532807750075 3377077000100 5065615500150 10131231000300