Search a number
-
+
21211021221222 = 2375925933301093
BaseRepresentation
bin1001101001010100100110…
…11000101001110101100110
32210002202100112112122220210
410310222103120221311212
510240010132413034342
6113040113021440250
74316305610404140
oct464522330516546
983082315478823
1021211021221222
1168385a8566818
122466a08110086
13bab263016301
145348943bbc90
1526bb3240379c
hex134a93629d66

21211021221222 has 64 divisors (see below), whose sum is σ = 49323097935360. Its totient is φ = 5955275602944.

The previous prime is 21211021221119. The next prime is 21211021221283. The reversal of 21211021221222 is 22212212011212.

It is a super-3 number, since 3×212110212212223 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4774908 + ... + 8076000.

It is an arithmetic number, because the mean of its divisors is an integer number (770673405240).

Almost surely, 221211021221222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21211021221222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24661548967680).

21211021221222 is an abundant number, since it is smaller than the sum of its proper divisors (28112076714138).

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

21211021221222 is a wasteful number, since it uses less digits than its factorization.

21211021221222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3303757.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 21211021221222 its reverse (22212212011212), we get a palindrome (43423233232434).

The spelling of 21211021221222 in words is "twenty-one trillion, two hundred eleven billion, twenty-one million, two hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 59 118 177 354 413 826 1239 2478 2593 5186 7779 15558 18151 36302 54453 108906 152987 305974 458961 917922 1070909 2141818 3212727 3301093 6425454 6602186 9903279 19806558 23107651 46215302 69322953 138645906 194764487 389528974 584293461 1168586922 1363351409 2726702818 4090054227 8180108454 8559734149 17119468298 25679202447 51358404894 59918139043 119836278086 179754417129 359508834258 505024314791 1010048629582 1515072944373 3030145888746 3535170203537 7070340407074 10605510610611 21211021221222