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1211220220230 = 2325167199404959
BaseRepresentation
bin10001101000000010010…
…110011101100101000110
311021210101000112100120200
4101220002112131211012
5124321034334021410
62324232112511330
7153336111000246
oct21500226354506
94253330470520
101211220220230
11427748268679
121768ab24b546
138a2aa029087
14428a2761b26
152178ec7a3c0
hex11a0259d946

1211220220230 has 96 divisors (see below), whose sum is σ = 3183957504000. Its totient is φ = 319443829056.

The previous prime is 1211220220219. The next prime is 1211220220277. The reversal of 1211220220230 is 320220221121.

1211220220230 is a `hidden beast` number, since 1 + 211 + 2 + 2 + 0 + 220 + 230 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2788491 + ... + 3193449.

It is an arithmetic number, because the mean of its divisors is an integer number (33166224000).

Almost surely, 21211220220230 is an apocalyptic number.

1211220220230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211220220230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591978752000).

1211220220230 is an abundant number, since it is smaller than the sum of its proper divisors (1972737283770).

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

1211220220230 is a wasteful number, since it uses less digits than its factorization.

1211220220230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405338 (or 405335 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1211220220230 its reverse (320220221121), we get a palindrome (1531440441351).

The spelling of 1211220220230 in words is "one trillion, two hundred eleven billion, two hundred twenty million, two hundred twenty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 167 199 334 398 501 597 835 995 1002 1194 1503 1670 1791 1990 2505 2985 3006 3582 5010 5970 7515 8955 15030 17910 33233 66466 99699 166165 199398 299097 332330 404959 498495 598194 809918 996990 1214877 1495485 2024795 2429754 2990970 3644631 4049590 6074385 7289262 12148770 18223155 36446310 67628153 80586841 135256306 161173682 202884459 241760523 338140765 402934205 405768918 483521046 608653377 676281530 725281569 805868410 1014422295 1208802615 1217306754 1450563138 2028844590 2417605230 3043266885 3626407845 6086533770 7252815690 13458002447 26916004894 40374007341 67290012235 80748014682 121122022023 134580024470 201870036705 242244044046 403740073410 605610110115 1211220220230