Search a number
-
+
203201131000 = 2353731099337
BaseRepresentation
bin1011110100111110111…
…0110011000111111000
3201102111102202222200211
42331033232303013320
511312123442143000
6233203241240504
720452341054310
oct2751756630770
9642442688624
10203201131000
11791a481730a
123346b793134
131621459572a
149b992c2440
1554444e77ba
hex2f4fbb31f8

203201131000 has 128 divisors (see below), whose sum is σ = 543650889600. Its totient is φ = 69639091200.

The previous prime is 203201130919. The next prime is 203201131043. The reversal of 203201131000 is 131102302.

It is a super-2 number, since 2×2032011310002 (a number of 23 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, 21758332 + ... + 21767668.

It is an arithmetic number, because the mean of its divisors is an integer number (4247272575).

Almost surely, 2203201131000 is an apocalyptic number.

203201131000 is a gapful number since it is divisible by the number (20) 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 203201131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271825444800).

203201131000 is an abundant number, since it is smaller than the sum of its proper divisors (340449758600).

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

203201131000 is a wasteful number, since it uses less digits than its factorization.

203201131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12474 (or 12460 counting only the distinct ones).

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

Adding to 203201131000 its reverse (131102302), we get a palindrome (203332233302).

The spelling of 203201131000 in words is "two hundred three billion, two hundred one million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3109 3500 6218 7000 9337 12436 15545 18674 21763 24872 31090 37348 43526 46685 62180 65359 74696 77725 87052 93370 108815 124360 130718 155450 174104 186740 217630 233425 261436 310900 326795 373480 388625 435260 466850 522872 544075 621800 653590 777250 870520 933700 1088150 1167125 1307180 1554500 1633975 1867400 2176300 2334250 2614360 2720375 3109000 3267950 4352600 4668500 5440750 6535900 8169875 9337000 10881500 13071800 16339750 21763000 29028733 32679500 58057466 65359000 116114932 145143665 203201131 232229864 290287330 406402262 580574660 725718325 812804524 1016005655 1161149320 1451436650 1625609048 2032011310 2902873300 3628591625 4064022620 5080028275 5805746600 7257183250 8128045240 10160056550 14514366500 20320113100 25400141375 29028733000 40640226200 50800282750 101600565500 203201131000