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10214031021222 = 2372331161365071
BaseRepresentation
bin1001010010100010001110…
…1100001101010010100110
31100011110012101100200000110
42110220203230031102212
52314321313420134342
633420132220353450
72102640132120600
oct224504354152246
940143171320013
1010214031021222
113288823261126
12118b66a3a5886
13591243328302
1427450c880170
1512aa550c6c9c
hex94a23b0d4a6

10214031021222 has 96 divisors (see below), whose sum is σ = 23850191522304. Its totient is φ = 2907629524800.

The previous prime is 10214031021203. The next prime is 10214031021223. The reversal of 10214031021222 is 22212013041201.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10214031021223) 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, 156934947 + ... + 157000017.

It is an arithmetic number, because the mean of its divisors is an integer number (248439495024).

Almost surely, 210214031021222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10214031021222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11925095761152).

10214031021222 is an abundant number, since it is smaller than the sum of its proper divisors (13636160501082).

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

10214031021222 is a wasteful number, since it uses less digits than its factorization.

10214031021222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67034 (or 67027 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10214031021222 its reverse (22212013041201), we get a palindrome (32426044062423).

The spelling of 10214031021222 in words is "ten trillion, two hundred fourteen billion, thirty-one million, twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 331 662 993 1613 1986 2317 3226 4634 4839 6951 9678 11291 13902 16219 22582 32438 33873 48657 65071 67746 79037 97314 130142 158074 195213 237111 390426 455497 474222 533903 910994 1067806 1366491 1601709 2732982 3188479 3203418 3737321 6376958 7474642 9565437 11211963 19130874 21538501 22423926 26161247 43077002 52322494 64615503 78483741 104959523 129231006 150769507 156967482 209919046 301539014 314878569 452308521 629757138 734716661 904617042 1055386549 1469433322 2110773098 2204149983 3166159647 4408299966 5143016627 6332319294 10286033254 15429049881 30858099762 34741602113 69483204226 104224806339 208449612678 243191214791 486382429582 729573644373 1459147288746 1702338503537 3404677007074 5107015510611 10214031021222