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211132002021030 = 232515757725896203
BaseRepresentation
bin110000000000010111111111…
…111110110010111010100110
31000200120000121020101012001200
4300000113333332302322212
5210133141320004133110
62025012411442303330
762320532555255406
oct6000277776627246
91020500536335050
10211132002021030
1161300640a39422
121b81a968357b46
1390a687c28b98c
143a1cbb44c8806
15196206421d6c0
hexc005fffb2ea6

211132002021030 has 96 divisors (see below), whose sum is σ = 553397114578464. Its totient is φ = 55846299045888.

The previous prime is 211132002021019. The next prime is 211132002021077. The reversal of 211132002021030 is 30120200231112.

211132002021030 is a `hidden beast` number, since 2 + 111 + 320 + 0 + 20 + 210 + 3 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 211132002020994 and 211132002021012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4795092 + ... + 21101111.

It is an arithmetic number, because the mean of its divisors is an integer number (5764553276859).

Almost surely, 2211132002021030 is an apocalyptic number.

211132002021030 is an abundant number, since it is smaller than the sum of its proper divisors (342265112557434).

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

211132002021030 is a wasteful number, since it uses less digits than its factorization.

211132002021030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25896950 (or 25896947 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211132002021030 its reverse (30120200231112), we get a palindrome (241252202252142).

The spelling of 211132002021030 in words is "two hundred eleven trillion, one hundred thirty-two billion, two million, twenty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 157 314 471 577 785 942 1154 1413 1570 1731 2355 2826 2885 3462 4710 5193 5770 7065 8655 10386 14130 17310 25965 51930 90589 181178 271767 452945 543534 815301 905890 1358835 1630602 2717670 4076505 8153010 25896203 51792406 77688609 129481015 155377218 233065827 258962030 388443045 466131654 776886090 1165329135 2330658270 4065703871 8131407742 12197111613 14942109131 20328519355 24394223226 29884218262 36591334839 40657038710 44826327393 60985558065 73182669678 74710545655 89652654786 121971116130 134478982179 149421091310 182956674195 224131636965 268957964358 365913348390 448263273930 672394910895 1344789821790 2345911133567 4691822267134 7037733400701 11729555667835 14075466801402 21113200202103 23459111335670 35188667003505 42226400404206 70377334007010 105566001010515 211132002021030