Search a number
-
+
21222000012210 = 23553103211614143
BaseRepresentation
bin1001101001101001000011…
…10001011010101110110010
32210010210200200002000212020
410310310201301122232302
510240200124000342320
6113045130251212310
74320144641524134
oct464644161325662
983123620060766
1021222000012210
1168422218289a8
122468b70a47096
13bac2c272613a
1453521652b054
1526c0761a3940
hex134d21c5abb2

21222000012210 has 128 divisors (see below), whose sum is σ = 52646035193856. Its totient is φ = 5472447402240.

The previous prime is 21222000012209. The next prime is 21222000012211. The reversal of 21222000012210 is 1221000022212.

It is an interprime number because it is at equal distance from previous prime (21222000012209) and next prime (21222000012211).

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 21222000012210.

It is not an unprimeable number, because it can be changed into a prime (21222000012211) 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, 34248399 + ... + 34862541.

It is an arithmetic number, because the mean of its divisors is an integer number (411297149952).

Almost surely, 221222000012210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21222000012210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26323017596928).

21222000012210 is an abundant number, since it is smaller than the sum of its proper divisors (31424035181646).

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

21222000012210 is a wasteful number, since it uses less digits than its factorization.

21222000012210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614520.

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

Adding to 21222000012210 its reverse (1221000022212), we get a palindrome (22443000034422).

The spelling of 21222000012210 in words is "twenty-one trillion, two hundred twenty-two billion, twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 53 103 106 159 206 211 265 309 318 422 515 530 618 633 795 1030 1055 1266 1545 1590 2110 3090 3165 5459 6330 10918 11183 16377 21733 22366 27295 32754 33549 43466 54590 55915 65199 67098 81885 108665 111830 130398 163770 167745 217330 325995 335490 614143 651990 1151849 1228286 1842429 2303698 3070715 3455547 3684858 5759245 6141430 6911094 9212145 11518490 17277735 18424290 32549579 34555470 63256729 65099158 97648737 126513458 129584173 162747895 189770187 195297474 259168346 316283645 325495790 379540374 388752519 488243685 632567290 647920865 777505038 948850935 976487370 1295841730 1897701870 1943762595 3352606637 3887525190 6705213274 6867961169 10057819911 13347169819 13735922338 16763033185 20115639822 20603883507 26694339638 33526066370 34339805845 40041509457 41207767014 50289099555 66735849095 68679611690 80083018914 100578199110 103019417535 133471698190 200207547285 206038835070 400415094570 707400000407 1414800000814 2122200001221 3537000002035 4244400002442 7074000004070 10611000006105 21222000012210