Search a number
-
+
10221222020112 = 2432292447610637
BaseRepresentation
bin1001010010111101000001…
…0011101100010000010000
31100012010202112111021000200
42110233100103230100100
52314431030314120422
633423321540415200
72103313260445125
oct224572023542020
940163675437020
1010221222020112
113290883400014
121190b366a7500
13591b1b08653c
142749d191874c
1512ad2656d2ac
hex94bd04ec410

10221222020112 has 60 divisors (see below), whose sum is σ = 29591612613420. Its totient is φ = 3289588694784.

The previous prime is 10221222020101. The next prime is 10221222020147. The reversal of 10221222020112 is 21102022212201.

It is a happy number.

10221222020112 is a `hidden beast` number, since 10 + 221 + 2 + 220 + 201 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7576058071296 + 2645163948816 = 2752464^2 + 1626396^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1223801143 + ... + 1223809494.

It is an arithmetic number, because the mean of its divisors is an integer number (493193543557).

Almost surely, 210221222020112 is an apocalyptic number.

10221222020112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10221222020112 is an abundant number, since it is smaller than the sum of its proper divisors (19370390593308).

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

10221222020112 is a wasteful number, since it uses less digits than its factorization.

10221222020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447610680 (or 2447610671 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10221222020112 its reverse (21102022212201), we get a palindrome (31323244232313).

The spelling of 10221222020112 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty-two million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 2447610637 4895221274 7342831911 9790442548 14685663822 19580885096 22028495733 29371327644 39161770192 44056991466 58742655288 70980708473 88113982932 117485310576 141961416946 176227965864 212942125419 283922833892 352455931728 425884250838 567845667784 638826376257 851768501676 1135691335568 1277652752514 1703537003352 2555305505028 3407074006704 5110611010056 10221222020112