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211102210120020 = 223523376140673389
BaseRepresentation
bin101111111111111100010000…
…001111101101100101010100
31000200110011200222122210211120
4233333330100033231211110
5210132144311242320040
62024551003322403540
762315426363265222
oct5777742017554524
91020404628583746
10211102210120020
1161299a4320a22a
121b8150330605b0
1390a3b1205839b
143a1b58996db12
1519613bd9ed7d0
hexbfff103ed954

211102210120020 has 96 divisors (see below), whose sum is σ = 616949598101760. Its totient is φ = 53832042485760.

The previous prime is 211102210120001. The next prime is 211102210120031. The reversal of 211102210120020 is 20021012201112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15146515 + ... + 25526874.

It is an arithmetic number, because the mean of its divisors is an integer number (6426558313560).

Almost surely, 2211102210120020 is an apocalyptic number.

211102210120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211102210120020 is an abundant number, since it is smaller than the sum of its proper divisors (405847387981740).

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

211102210120020 is a wasteful number, since it uses less digits than its factorization.

211102210120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40677185 (or 40677183 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211102210120020 its reverse (20021012201112), we get a palindrome (231123222321132).

The spelling of 211102210120020 in words is "two hundred eleven trillion, one hundred two billion, two hundred ten million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 3761 7522 11283 15044 18805 22566 37610 45132 56415 75220 86503 112830 173006 225660 259509 346012 432515 519018 865030 1038036 1297545 1730060 2595090 5190180 40673389 81346778 122020167 162693556 203366945 244040334 406733890 488080668 610100835 813467780 935487947 1220201670 1870975894 2440403340 2806463841 3741951788 4677439735 5612927682 9354879470 11225855364 14032319205 18709758940 28064638410 56129276820 152972616029 305945232058 458917848087 611890464116 764863080145 917835696174 1529726160290 1835671392348 2294589240435 3059452320580 3518370168667 4589178480870 7036740337334 9178356961740 10555110506001 14073480674668 17591850843335 21110221012002 35183701686670 42220442024004 52775552530005 70367403373340 105551105060010 211102210120020