Search a number
-
+
10302022000 = 245323281797
BaseRepresentation
bin10011001100000110…
…00110000101110000
3222120222001221102101
421212003012011300
5132044304201000
64422132030144
7513202512364
oct114603060560
928528057371
1010302022000
11440724a676
121bb6162354
13c8244570a
146da3012a4
1540466ae6a
hex2660c6170

10302022000 has 160 divisors (see below), whose sum is σ = 26118578304. Its totient is φ = 3922688000.

The previous prime is 10302021929. The next prime is 10302022019. The reversal of 10302022000 is 22020301.

It is a super-2 number, since 2×103020220002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12925602 + ... + 12926398.

Almost surely, 210302022000 is an apocalyptic number.

10302022000 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 10302022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13059289152).

10302022000 is an abundant number, since it is smaller than the sum of its proper divisors (15816556304).

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

10302022000 is a wasteful number, since it uses less digits than its factorization.

10302022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 10302022000 its reverse (22020301), we get a palindrome (10324042301).

The spelling of 10302022000 in words is "ten billion, three hundred two million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 281 368 400 460 500 562 575 797 920 1000 1124 1150 1405 1594 1840 2000 2248 2300 2810 2875 3188 3985 4496 4600 5620 5750 6376 6463 7025 7970 9200 11240 11500 12752 12926 14050 15940 18331 19925 22480 23000 25852 28100 31880 32315 35125 36662 39850 46000 51704 56200 63760 64630 70250 73324 79700 91655 99625 103408 112400 129260 140500 146648 159400 161575 183310 199250 223957 258520 281000 293296 318800 323150 366620 398500 447914 458275 517040 562000 646300 733240 797000 807875 895828 916550 1119785 1292600 1466480 1594000 1615750 1791656 1833100 2239570 2291375 2585200 3231500 3583312 3666200 4479140 4582750 5151011 5598925 6463000 7332400 8958280 9165500 10302022 11197850 12926000 17916560 18331000 20604044 22395700 25755055 27994625 36662000 41208088 44791400 51510110 55989250 82416176 89582800 103020220 111978500 128775275 206040440 223957000 257550550 412080880 447914000 515101100 643876375 1030202200 1287752750 2060404400 2575505500 5151011000 10302022000