Search a number
-
+
22121232001123 = 2329151241911359
BaseRepresentation
bin1010000011110100000000…
…01011001110100001100011
32220022202202200201002221111
411001322000023032201203
510344413240343013443
6115014204221404151
74442130515362243
oct501720013164143
986282680632844
1022121232001123
11705961a846692
1225932aba09657
13c4603c04c6c8
1456695d913b23
1528565607669d
hex141e802ce863

22121232001123 has 32 divisors (see below), whose sum is σ = 24136895692800. Its totient is φ = 20210275008000.

The previous prime is 22121232001093. The next prime is 22121232001153. The reversal of 22121232001123 is 32110023212122.

It is an interprime number because it is at equal distance from previous prime (22121232001093) and next prime (22121232001153).

It is a cyclic number.

It is not a de Polignac number, because 22121232001123 - 237 = 21983793047651 is a prime.

It is a super-2 number, since 2×221212320011232 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22121232001094 and 22121232001103.

It is not an unprimeable number, because it can be changed into a prime (22121232001153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23817118 + ... + 24728476.

It is an arithmetic number, because the mean of its divisors is an integer number (754277990400).

Almost surely, 222121232001123 is an apocalyptic number.

22121232001123 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

22121232001123 is a deficient number, since it is larger than the sum of its proper divisors (2015663691677).

22121232001123 is a wasteful number, since it uses less digits than its factorization.

22121232001123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911803.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 22121232001123 its reverse (32110023212122), we get a palindrome (54231255213245).

The spelling of 22121232001123 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred thirty-two million, one thousand, one hundred twenty-three".

Divisors: 1 23 29 151 241 667 3473 4379 5543 6989 36391 100717 160747 836993 911359 1055339 20961257 24272797 26429411 137615209 219637519 607876453 3165149807 3990841061 5051662937 6369488051 33165265369 91789344403 146498225173 762801103487 961792695701 22121232001123