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20012100192 = 253372472697
BaseRepresentation
bin10010101000110100…
…000110101001100000
31220122200022000121000
4102220310012221200
5311441044201232
613105440432000
71305630021300
oct225064065140
956580260530
1020012100192
11853a344087
123a66018600
131b6c053406
14d7bb55600
157c1d5b27c
hex4a8d06a60

20012100192 has 144 divisors (see below), whose sum is σ = 67898340720. Its totient is φ = 5717730816.

The previous prime is 20012100149. The next prime is 20012100211. The reversal of 20012100192 is 29100121002.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194013 + ... + 278684.

It is an arithmetic number, because the mean of its divisors is an integer number (471516255).

Almost surely, 220012100192 is an apocalyptic number.

It is an amenable number.

20012100192 is an abundant number, since it is smaller than the sum of its proper divisors (47886240528).

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

20012100192 is a wasteful number, since it uses less digits than its factorization.

20012100192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472730 (or 472709 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 20012100192 its reverse (29100121002), we get a palindrome (49112221194).

The spelling of 20012100192 in words is "twenty billion, twelve million, one hundred thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 10584 14112 21168 42336 472697 945394 1418091 1890788 2836182 3308879 3781576 4254273 5672364 6617758 7563152 8508546 9926637 11344728 12762819 13235516 15126304 17017092 19853274 22689456 23162153 25525638 26471032 29779911 34034184 39706548 45378912 46324306 51051276 52942064 59559822 68068368 69486459 79413096 89339733 92648612 102102552 105884128 119119644 136136736 138972918 158826192 178679466 185297224 204205104 208459377 238239288 277945836 317652384 357358932 370594448 408410208 416918754 476478576 555891672 625378131 714717864 741188896 833837508 952957152 1111783344 1250756262 1429435728 1667675016 2223566688 2501512524 2858871456 3335350032 5003025048 6670700064 10006050096 20012100192