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1001211222210 = 235477141923869
BaseRepresentation
bin11101001000111001101…
…01101101100011000010
310112201022010112212222220
432210130311231203002
5112400440033102320
62043541115111510
7132222642654063
oct16443465554302
93481263485886
101001211222210
1135667a6a7091
1214205b742596
137354c1bbc84
143665d25856a
151b09cc6be40
hexe91cd6d8c2

1001211222210 has 128 divisors (see below), whose sum is σ = 2494640332800. Its totient is φ = 257002986240.

The previous prime is 1001211222199. The next prime is 1001211222217. The reversal of 1001211222210 is 122221121001.

1001211222210 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10012112222102 (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1001211222210.

It is not an unprimeable number, because it can be changed into a prime (1001211222217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41934156 + ... + 41958024.

It is an arithmetic number, because the mean of its divisors is an integer number (19489377600).

Almost surely, 21001211222210 is an apocalyptic number.

1001211222210 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 1001211222210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247320166400).

1001211222210 is an abundant number, since it is smaller than the sum of its proper divisors (1493429110590).

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

1001211222210 is a wasteful number, since it uses less digits than its factorization.

1001211222210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24416.

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

Adding to 1001211222210 its reverse (122221121001), we get a palindrome (1123432343211).

The spelling of 1001211222210 in words is "one trillion, one billion, two hundred eleven million, two hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 47 71 94 141 142 213 235 282 355 419 426 470 705 710 838 1065 1257 1410 2095 2130 2514 3337 4190 6285 6674 10011 12570 16685 19693 20022 23869 29749 33370 39386 47738 50055 59079 59498 71607 89247 98465 100110 118158 119345 143214 148745 178494 196930 238690 295395 297490 358035 446235 590790 716070 892470 1121843 1398203 1694699 2243686 2796406 3365529 3389398 4194609 5084097 5609215 6731058 6991015 8389218 8473495 10001111 10168194 11218430 13982030 16827645 16946990 20002222 20973045 25420485 30003333 33655290 41946090 50005555 50840970 60006666 79650853 100011110 150016665 159301706 238952559 300033330 398254265 470052217 477905118 710078881 796508530 940104434 1194762795 1410156651 1420157762 2130236643 2350261085 2389525590 2820313302 3550394405 4260473286 4700522170 7050783255 7100788810 10651183215 14101566510 21302366430 33373707407 66747414814 100121122221 166868537035 200242244442 333737074070 500605611105 1001211222210