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200100102000 = 24353311075807
BaseRepresentation
bin1011101001011011100…
…1010011111101110000
3201010111022122101121220
42322112321103331300
511234301111231000
6231531423345040
720312444542401
oct2722671237560
9633438571556
10200100102000
1177953322327
1232945152180
1315b3bc9a226
1499834db9a8
1553121491a0
hex2e96e53f70

200100102000 has 160 divisors (see below), whose sum is σ = 665933758464. Its totient is φ = 51638688000.

The previous prime is 200100101987. The next prime is 200100102047. The reversal of 200100102000 is 201001002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 200100102000.

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, 351904 + ... + 723903.

Almost surely, 2200100102000 is an apocalyptic number.

200100102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200100102000 is an abundant number, since it is smaller than the sum of its proper divisors (465833656464).

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

200100102000 is a wasteful number, since it uses less digits than its factorization.

200100102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075864 (or 1075848 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 200100102000 its reverse (201001002), we get a palindrome (200301103002).

The spelling of 200100102000 in words is "two hundred billion, one hundred million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 75 80 93 100 120 124 125 150 155 186 200 240 248 250 300 310 372 375 400 465 496 500 600 620 744 750 775 930 1000 1200 1240 1488 1500 1550 1860 2000 2325 2480 3000 3100 3720 3875 4650 6000 6200 7440 7750 9300 11625 12400 15500 18600 23250 31000 37200 46500 62000 93000 186000 1075807 2151614 3227421 4303228 5379035 6454842 8606456 10758070 12909684 16137105 17212912 21516140 25819368 26895175 32274210 33350017 43032280 51638736 53790350 64548420 66700034 80685525 86064560 100050051 107580700 129096840 133400068 134475875 161371050 166750085 200100102 215161400 258193680 266800136 268951750 322742100 333500170 400200204 403427625 430322800 500250255 533600272 537903500 645484200 667000340 800400408 806855250 833750425 1000500510 1075807000 1290968400 1334000680 1600800816 1613710500 1667500850 2001001020 2151614000 2501251275 2668001360 3227421000 3335001700 4002002040 4168752125 5002502550 6454842000 6670003400 8004004080 8337504250 10005005100 12506256375 13340006800 16675008500 20010010200 25012512750 33350017000 40020020400 50025025500 66700034000 100050051000 200100102000