Search a number
-
+
2131223223031 = 717591791695809
BaseRepresentation
bin11111000000110110110…
…011011001101011110111
321112202001121111021010121
4133000312303121223313
5234404221121114111
64311023114032411
7306655461332230
oct37006663315367
97482047437117
102131223223031
11751934a48541
122a5066418707
13125c869a17c6
147521a5b2087
153a688417871
hex1f036cd9af7

2131223223031 has 32 divisors (see below), whose sum is σ = 2637323712000. Its totient is φ = 1680722092032.

The previous prime is 2131223223011. The next prime is 2131223223113. The reversal of 2131223223031 is 1303223221312.

It is a cyclic number.

It is not a de Polignac number, because 2131223223031 - 235 = 2096863484663 is a prime.

It is a super-2 number, since 2×21312232230312 (a number of 25 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 = 2131223222987 and 2131223223005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131223223011) 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, 408855 + ... + 2104663.

It is an arithmetic number, because the mean of its divisors is an integer number (82416366000).

Almost surely, 22131223223031 is an apocalyptic number.

2131223223031 is a deficient number, since it is larger than the sum of its proper divisors (506100488969).

2131223223031 is a wasteful number, since it uses less digits than its factorization.

2131223223031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696071.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 2131223223031 its reverse (1303223221312), we get a palindrome (3434446444343).

The spelling of 2131223223031 in words is "two trillion, one hundred thirty-one billion, two hundred twenty-three million, two hundred twenty-three thousand, thirty-one".

Divisors: 1 7 17 59 119 179 413 1003 1253 3043 7021 10561 21301 73927 179537 1256759 1695809 11870663 28828753 100052731 201801271 303549811 700369117 1700896427 2124848677 5160346787 11906274989 17909438849 36122427509 125366071943 304460460433 2131223223031