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21222000101010 = 2354321319290057
BaseRepresentation
bin1001101001101001000011…
…10001110000011010010010
32210010210200200020112200010
410310310201301300122102
510240200124011213020
6113045130253135350
74320144642344052
oct464644161603222
983123620215603
1021222000101010
116842221889695
122468b70a8a556
13bac2c2757697
14535216551562
1526c0761bede0
hex134d21c70692

21222000101010 has 96 divisors (see below), whose sum is σ = 52184543621760. Its totient is φ = 5523380937984.

The previous prime is 21222000100979. The next prime is 21222000101011. The reversal of 21222000101010 is 1010100022212.

It is not an unprimeable number, because it can be changed into a prime (21222000101011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73019902 + ... + 73309958.

It is an arithmetic number, because the mean of its divisors is an integer number (543588996060).

Almost surely, 221222000101010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21222000101010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26092271810880).

21222000101010 is an abundant number, since it is smaller than the sum of its proper divisors (30962543520750).

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

21222000101010 is a wasteful number, since it uses less digits than its factorization.

21222000101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291472 (or 291429 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21222000101010 its reverse (1010100022212), we get a palindrome (22232100123222).

The spelling of 21222000101010 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 1290 1319 1849 2638 3698 3957 5547 6595 7914 9245 11094 13190 18490 19785 27735 39570 55470 56717 113434 170151 283585 290057 340302 567170 580114 850755 870171 1450285 1701510 1740342 2438831 2900570 4350855 4877662 7316493 8701710 12194155 12472451 14632986 24388310 24944902 36582465 37417353 62362255 73164930 74834706 124724510 187086765 374173530 382585183 536315393 765170366 1072630786 1147755549 1608946179 1912925915 2295511098 2681576965 3217892358 3825851830 5363153930 5738777745 8044730895 11477555490 16089461790 16451162869 32902325738 49353488607 82255814345 98706977214 164511628690 246767443035 493534886070 707400003367 1414800006734 2122200010101 3537000016835 4244400020202 7074000033670 10611000050505 21222000101010