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200002144100 = 2252111994991831
BaseRepresentation
bin1011101001000100001…
…1101000011101100100
3201010020111022121122112
42322101003220131210
511234101022102400
6231514004020152
720310145114013
oct2722103503544
9633214277575
10200002144100
1177902aa6090
1232918391658
1315b248c0085
1499744bca7a
155308749835
hex2e910e8764

200002144100 has 144 divisors (see below), whose sum is σ = 477052800000. Its totient is φ = 72178128000.

The previous prime is 200002144093. The next prime is 200002144109. The reversal of 200002144100 is 1441200002.

It is not an unprimeable number, because it can be changed into a prime (200002144109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109230185 + ... + 109232015.

Almost surely, 2200002144100 is an apocalyptic number.

200002144100 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 200002144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238526400000).

200002144100 is an abundant number, since it is smaller than the sum of its proper divisors (277050655900).

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

200002144100 is a wasteful number, since it uses less digits than its factorization.

200002144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 200002144100 its reverse (1441200002), we get a palindrome (201443344102).

The spelling of 200002144100 in words is "two hundred billion, two million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 199 220 275 398 499 550 796 995 998 1100 1831 1990 1996 2189 2495 3662 3980 4378 4975 4990 5489 7324 8756 9155 9950 9980 10945 10978 12475 18310 19900 20141 21890 21956 24950 27445 36620 40282 43780 45775 49900 54725 54890 80564 91550 99301 100705 109450 109780 137225 183100 198602 201410 218900 274450 364369 397204 402820 496505 503525 548900 728738 913669 993010 1007050 1092311 1457476 1821845 1827338 1986020 2014100 2184622 2482525 3643690 3654676 4008059 4369244 4568345 4965050 5461555 7287380 8016118 9109225 9136690 9930100 10050359 10923110 16032236 18218450 18273380 20040295 20100718 21846220 22841725 27307775 36436900 40080590 40201436 45683450 50251795 54615550 80161180 91366900 100201475 100503590 109231100 181820131 200402950 201007180 251258975 363640262 400805900 502517950 727280524 909100655 1005035900 1818201310 2000021441 3636402620 4000042882 4545503275 8000085764 9091006550 10000107205 18182013100 20000214410 40000428820 50000536025 100001072050 200002144100