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22002002121210 = 2353159598167043
BaseRepresentation
bin1010000000010101111011…
…00001010101000111111010
32212220101000100122122121020
411000022331201111013322
510340440100020334320
6114443325155323310
74430410060205016
oct500127541250772
985811010578536
1022002002121210
117012aa6674151
122574175bb0536
13c37a1a585ac7
14560c8c999546
152824c89e4940
hex1402bd8551fa

22002002121210 has 128 divisors (see below), whose sum is σ = 55442148433920. Its totient is φ = 5580683347200.

The previous prime is 22002002121199. The next prime is 22002002121227. The reversal of 22002002121210 is 1212120020022.

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 22002002121210.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 328143949 + ... + 328210991.

It is an arithmetic number, because the mean of its divisors is an integer number (433141784640).

Almost surely, 222002002121210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22002002121210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27721074216960).

22002002121210 is an abundant number, since it is smaller than the sum of its proper divisors (33440146312710).

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

22002002121210 is a wasteful number, since it uses less digits than its factorization.

22002002121210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73124.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22002002121210 its reverse (1212120020022), we get a palindrome (23214122141232).

The spelling of 22002002121210 in words is "twenty-two trillion, two billion, two million, one hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 59 62 93 118 155 177 186 295 310 354 465 590 885 930 1770 1829 3658 5487 5981 9145 10974 11962 17943 18290 27435 29905 35886 54870 59810 67043 89715 134086 179430 185411 201129 335215 352879 370822 402258 556233 670430 705758 927055 1005645 1058637 1112466 1764395 1854110 2011290 2078333 2117274 2781165 3528790 3955537 4156666 5293185 5562330 6234999 7911074 10391665 10586370 10939249 11866611 12469998 19777685 20783330 21878498 23733222 31174995 32817747 39555370 54696245 59333055 62349990 65635494 109392490 118666110 122621647 164088735 245243294 328177470 367864941 400984183 613108235 735729882 801968366 1202952549 1226216470 1839324705 2004920915 2405905098 3678649410 4009841830 6014762745 12029525490 12430509673 23658066797 24861019346 37291529019 47316133594 62152548365 70974200391 74583058038 118290333985 124305096730 141948400782 186457645095 236580667970 354871001955 372915290190 709742003910 733400070707 1466800141414 2200200212121 3667000353535 4400400424242 7334000707070 11001001060605 22002002121210