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201000101212120 = 23572997102859651
BaseRepresentation
bin101101101100111011111011…
…101000011110111111011000
3222100200102101122111120222111
4231230323323220132333120
5202321141201402241440
61551254101033202104
760223530612334600
oct5554737350367730
9870612348446874
10201000101212120
1159054734088421
121a6631bb260334
1388202c7503b42
14378c657695c00
1518387196494ea
hexb6cefba1efd8

201000101212120 has 96 divisors (see below), whose sum is σ = 526614674730480. Its totient is φ = 68845198060800.

The previous prime is 201000101212117. The next prime is 201000101212121. The reversal of 201000101212120 is 21212101000102.

It is a self number, because there is not a number n which added to its sum of digits gives 201000101212120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201000101212121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49475706 + ... + 53383945.

Almost surely, 2201000101212120 is an apocalyptic number.

201000101212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201000101212120 is an abundant number, since it is smaller than the sum of its proper divisors (325614573518360).

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

201000101212120 is a wasteful number, since it uses less digits than its factorization.

201000101212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102860673 (or 102860662 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201000101212120 its reverse (21212101000102), we get a palindrome (222212202212222).

The spelling of 201000101212120 in words is "two hundred one trillion, one hundred one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 997 1960 1994 3988 4985 6979 7976 9970 13958 19940 27916 34895 39880 48853 55832 69790 97706 139580 195412 244265 279160 390824 488530 977060 1954120 102859651 205719302 411438604 514298255 720017557 822877208 1028596510 1440035114 2057193020 2880070228 3600087785 4114386040 5040122899 5760140456 7200175570 10080245798 14400351140 20160491596 25200614495 28800702280 40320983192 50401228990 100802457980 102551072047 201604915960 205102144094 410204288188 512755360235 717857504329 820408576376 1025510720470 1435715008658 2051021440940 2871430017316 3589287521645 4102042881880 5025002530303 5742860034632 7178575043290 10050005060606 14357150086580 20100010121212 25125012651515 28714300173160 40200020242424 50250025303030 100500050606060 201000101212120