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10043131000 = 235377431931
BaseRepresentation
bin10010101101001111…
…00000010001111000
3221220220220220201211
421112213200101320
5131032020143000
64340323052504
7503610130210
oct112647402170
927826826654
1010043131000
1142940a3a71
121b43511134
13c4090c186
146b3b8d240
153dba7c7ba
hex2569e0478

10043131000 has 128 divisors (see below), whose sum is σ = 26908277760. Its totient is φ = 3436944000.

The previous prime is 10043130997. The next prime is 10043131013. The reversal of 10043131000 is 13134001.

It is a super-2 number, since 2×100431310002 (a number of 21 digits) contains 22 as substring.

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, 5200035 + ... + 5201965.

It is an arithmetic number, because the mean of its divisors is an integer number (210220920).

Almost surely, 210043131000 is an apocalyptic number.

10043131000 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 10043131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13454138880).

10043131000 is an abundant number, since it is smaller than the sum of its proper divisors (16865146760).

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

10043131000 is a wasteful number, since it uses less digits than its factorization.

10043131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10043131000 its reverse (13134001), we get a palindrome (10056265001).

The spelling of 10043131000 in words is "ten billion, forty-three million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 743 875 1000 1400 1486 1750 1931 2972 3500 3715 3862 5201 5944 7000 7430 7724 9655 10402 13517 14860 15448 18575 19310 20804 26005 27034 29720 37150 38620 41608 48275 52010 54068 67585 74300 77240 92875 96550 104020 108136 130025 135170 148600 185750 193100 208040 241375 260050 270340 337925 371500 386200 482750 520100 540680 650125 675850 743000 965500 1040200 1300250 1351700 1434733 1689625 1931000 2600500 2703400 2869466 3379250 5201000 5738932 6758500 7173665 10043131 11477864 13517000 14347330 20086262 28694660 35868325 40172524 50215655 57389320 71736650 80345048 100431310 143473300 179341625 200862620 251078275 286946600 358683250 401725240 502156550 717366500 1004313100 1255391375 1434733000 2008626200 2510782750 5021565500 10043131000