Search a number
-
+
22311022111002 = 2321239501228389
BaseRepresentation
bin1010001001010101100001…
…00011000010100100011010
32220222220122111021122012100
411010222300203002210122
510411020433130023002
6115241313030224230
74461626632605612
oct504526043024432
986886574248170
1022311022111002
117122062375269
1226040381b5076
13c5abc7043581
14571c05a37a42
1528a562ecd11c
hex144ab08c291a

22311022111002 has 12 divisors (see below), whose sum is σ = 48340547907210. Its totient is φ = 7437007370328.

The previous prime is 22311022110997. The next prime is 22311022111013. The reversal of 22311022111002 is 20011122011322.

22311022111002 is a `hidden beast` number, since 22 + 311 + 0 + 221 + 110 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21018914760321 + 1292107350681 = 4584639^2 + 1136709^2 .

It is a super-3 number, since 3×223110221110023 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1239501228389 = 22311022111002 / (2 + 2 + 3 + 1 + 1 + 0 + 2 + 2 + 1 + 1 + 1 + 0 + 0 + 2).

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 5 ways as a sum of consecutive naturals, for example, 619750614177 + ... + 619750614212.

Almost surely, 222311022111002 is an apocalyptic number.

22311022111002 is an abundant number, since it is smaller than the sum of its proper divisors (26029525796208).

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

22311022111002 is a wasteful number, since it uses less digits than its factorization.

22311022111002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239501228397 (or 1239501228394 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 22311022111002 its reverse (20011122011322), we get a palindrome (42322144122324).

The spelling of 22311022111002 in words is "twenty-two trillion, three hundred eleven billion, twenty-two million, one hundred eleven thousand, two".

Divisors: 1 2 3 6 9 18 1239501228389 2479002456778 3718503685167 7437007370334 11155511055501 22311022111002