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20000212110198 = 2331973991928703
BaseRepresentation
bin1001000110000101010011…
…00010011100101101110110
32121211000001011120211011000
410203002221202130231312
510110140413300011243
6110311545352224130
74132652620644645
oct443025142345566
977730034524130
1020000212110198
116411051371621
1222b021269b046
13b2102021b228
144d20304b335c
1524a3b87d35d3
hex1230a989cb76

20000212110198 has 128 divisors (see below), whose sum is σ = 46900039680000. Its totient is φ = 6300227228832.

The previous prime is 20000212110187. The next prime is 20000212110199. The reversal of 20000212110198 is 89101121200002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20000212110199) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 696784315 + ... + 696813017.

It is an arithmetic number, because the mean of its divisors is an integer number (366406560000).

Almost surely, 220000212110198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20000212110198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23450019840000).

20000212110198 is an abundant number, since it is smaller than the sum of its proper divisors (26899827569802).

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

20000212110198 is a wasteful number, since it uses less digits than its factorization.

20000212110198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30391 (or 30385 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 20000212110198 in words is "twenty trillion, two hundred twelve million, one hundred ten thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 739 919 1026 1478 1838 2217 2757 4434 5514 6651 8271 13302 14041 16542 17461 19953 24813 28082 28703 34922 39906 42123 49626 52383 57406 84246 86109 104766 126369 157149 172218 252738 258327 314298 379107 471447 516654 545357 679141 758214 774981 942894 1090714 1358282 1549962 1636071 2037423 3272142 4074846 4908213 6112269 9816426 12224538 12903679 14724639 18336807 21211517 25807358 26378057 29449278 36673614 38711037 42423034 52756114 63634551 77422074 79134171 116133111 127269102 158268342 190903653 232266222 237402513 348399333 381807306 403018823 474805026 501183083 572710959 696798666 712207539 806037646 1002366166 1145421918 1209056469 1424415078 1503549249 2418112938 3007098498 3627169407 4510647747 7254338814 9021295494 10881508221 13531943241 19493384123 21763016442 27063886482 38986768246 58480152369 116960304738 175440457107 350880914214 370374298337 526321371321 740748596674 1052642742642 1111122895011 2222245790022 3333368685033 6666737370066 10000106055099 20000212110198