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10042203000 = 2335319176179
BaseRepresentation
bin10010101101000111…
…11101101101111000
3221220212011202202110
421112203331231320
5131031300444000
64340251132320
7503566213524
oct112643755570
927825152673
1010042203000
11429361a825
121b431440a0
13c4067596b
146b39cad84
153db947850
hex2568fdb78

10042203000 has 128 divisors (see below), whose sum is σ = 32980896000. Its totient is φ = 2536963200.

The previous prime is 10042202987. The next prime is 10042203043. The reversal of 10042203000 is 30224001.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 31090 + ... + 145089.

It is an arithmetic number, because the mean of its divisors is an integer number (257663250).

Almost surely, 210042203000 is an apocalyptic number.

10042203000 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 10042203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16490448000).

10042203000 is an abundant number, since it is smaller than the sum of its proper divisors (22938693000).

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

10042203000 is a wasteful number, since it uses less digits than its factorization.

10042203000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176222 (or 176208 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 10042203000 its reverse (30224001), we get a palindrome (10072427001).

The spelling of 10042203000 in words is "ten billion, forty-two million, two hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 750 760 950 1000 1140 1425 1500 1900 2280 2375 2850 3000 3800 4750 5700 7125 9500 11400 14250 19000 28500 57000 176179 352358 528537 704716 880895 1057074 1409432 1761790 2114148 2642685 3347401 3523580 4228296 4404475 5285370 6694802 7047160 8808950 10042203 10570740 13213425 13389604 16737005 17617900 20084406 21141480 22022375 26426850 26779208 33474010 35235800 40168812 44044750 50211015 52853700 66067125 66948020 80337624 83685025 88089500 100422030 105707400 132134250 133896040 167370050 176179000 200844060 251055075 264268500 334740100 401688120 418425125 502110150 528537000 669480200 836850250 1004220300 1255275375 1673700500 2008440600 2510550750 3347401000 5021101500 10042203000