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211102210080 = 25325236373859
BaseRepresentation
bin1100010010011010101…
…1000001100000100000
3202011220002001101121100
43010212223001200200
511424314131210310
6240551244554400
721152211115266
oct3044653014040
9664802041540
10211102210080
118158976aa33
1234ab5852a00
1316ba3482258
14a30879a436
155757ea2ec0
hex3126ac1820

211102210080 has 144 divisors (see below), whose sum is σ = 751707552960. Its totient is φ = 53846352384.

The previous prime is 211102210079. The next prime is 211102210087. The reversal of 211102210080 is 80012201112.

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 not an unprimeable number, because it can be changed into a prime (211102210087) by changing a digit.

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, 3153810 + ... + 3220049.

It is an arithmetic number, because the mean of its divisors is an integer number (5220191340).

Almost surely, 2211102210080 is an apocalyptic number.

211102210080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211102210080 is an abundant number, since it is smaller than the sum of its proper divisors (540605342880).

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

211102210080 is a wasteful number, since it uses less digits than its factorization.

211102210080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6373903 (or 6373892 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211102210080 its reverse (80012201112), we get a palindrome (291114411192).

The spelling of 211102210080 in words is "two hundred eleven billion, one hundred two million, two hundred ten thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 552 690 720 736 828 920 1035 1104 1380 1440 1656 1840 2070 2208 2760 3312 3680 4140 5520 6624 8280 11040 16560 33120 6373859 12747718 19121577 25495436 31869295 38243154 50990872 57364731 63738590 76486308 95607885 101981744 114729462 127477180 146598757 152972616 191215770 203963488 229458924 254954360 286823655 293197514 305945232 382431540 439796271 458917848 509908720 573647310 586395028 611890464 732993785 764863080 879592542 917835696 1019817440 1147294620 1172790056 1319388813 1465987570 1529726160 1759185084 1835671392 2198981355 2294589240 2345580112 2638777626 2931975140 3059452320 3518370168 4397962710 4589178480 4691160224 5277555252 5863950280 6596944065 7036740336 8795925420 9178356960 10555110504 11727900560 13193888130 14073480672 17591850840 21110221008 23455801120 26387776260 35183701680 42220442016 52775552520 70367403360 105551105040 211102210080