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202011001000 = 23532329173011
BaseRepresentation
bin1011110000100011001…
…0110100000010101000
3201022102111100010020221
42330020302310002220
511302204304013000
6232445204455424
720411010114454
oct2741062640250
9638374303227
10202011001000
1178743a41aa6
12331990aa574
1316084b488b3
149ac5201664
1553c4cab61a
hex2f08cb40a8

202011001000 has 128 divisors (see below), whose sum is σ = 493591138560. Its totient is φ = 77239008000.

The previous prime is 202011000991. The next prime is 202011001063. The reversal of 202011001000 is 100110202.

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, 67089495 + ... + 67092505.

It is an arithmetic number, because the mean of its divisors is an integer number (3856180770).

Almost surely, 2202011001000 is an apocalyptic number.

202011001000 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 202011001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246795569280).

202011001000 is an abundant number, since it is smaller than the sum of its proper divisors (291580137560).

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

202011001000 is a wasteful number, since it uses less digits than its factorization.

202011001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5972 (or 5958 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 202011001000 its reverse (100110202), we get a palindrome (202111111202).

It can be divided in two parts, 20201 and 1001000, that added together give a palindrome (1021201).

The spelling of 202011001000 in words is "two hundred two billion, eleven million, one thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 920 1000 1150 2300 2875 2917 3011 4600 5750 5834 6022 11500 11668 12044 14585 15055 23000 23336 24088 29170 30110 58340 60220 67091 69253 72925 75275 116680 120440 134182 138506 145850 150550 268364 277012 291700 301100 335455 346265 364625 376375 536728 554024 583400 602200 670910 692530 729250 752750 1341820 1385060 1458500 1505500 1677275 1731325 2683640 2770120 2917000 3011000 3354550 3462650 6709100 6925300 8386375 8656625 8783087 13418200 13850600 16772750 17313250 17566174 33545500 34626500 35132348 43915435 67091000 69253000 70264696 87830870 175661740 202011001 219577175 351323480 404022002 439154350 808044004 878308700 1010055005 1097885875 1616088008 1756617400 2020110010 2195771750 4040220020 4391543500 5050275025 8080440040 8783087000 10100550050 20201100100 25251375125 40402200200 50502750250 101005500500 202011001000