Search a number
-
+
1223013101220 = 223256794517229
BaseRepresentation
bin10001110011000001010…
…000101110111010100100
311022220210212220210001200
4101303001100232322210
5130014212323214340
62333502223122500
7154234255556421
oct21630120567244
94286725823050
101223013101220
1143174a014709
12179040743430
138b4392b3171
14432a0a66d48
1521c30237330
hex11cc142eea4

1223013101220 has 36 divisors (see below), whose sum is σ = 3709806407580. Its totient is φ = 326136826944.

The previous prime is 1223013101209. The next prime is 1223013101287. The reversal of 1223013101220 is 221013103221.

1223013101220 is a `hidden beast` number, since 1 + 2 + 230 + 1 + 310 + 122 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 187210251684 + 1035802849536 = 432678^2 + 1017744^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×12230131012202 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1223013101193 and 1223013101202.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3397258435 + ... + 3397258794.

Almost surely, 21223013101220 is an apocalyptic number.

1223013101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1223013101220 is an abundant number, since it is smaller than the sum of its proper divisors (2486793306360).

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

1223013101220 is a wasteful number, since it uses less digits than its factorization.

1223013101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6794517244 (or 6794517239 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1223013101220 its reverse (221013103221), we get a palindrome (1444026204441).

The spelling of 1223013101220 in words is "one trillion, two hundred twenty-three billion, thirteen million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6794517229 13589034458 20383551687 27178068916 33972586145 40767103374 61150655061 67945172290 81534206748 101917758435 122301310122 135890344580 203835516870 244602620244 305753275305 407671033740 611506550610 1223013101220