Search a number
-
+
1122340244431 = 72943535934091
BaseRepresentation
bin10000010101010000101…
…100010000101111001111
310222021221211011202211011
4100111100230100233033
5121342023100310211
62215332422310051
7144041431446340
oct20252054205717
93867854152734
101122340244431
113a2a8889931a
12161625588327
1381ab4278c13
143c4704d60c7
151e2dbddc921
hex10550b10bcf

1122340244431 has 64 divisors (see below), whose sum is σ = 1386052715520. Its totient is φ = 888396687360.

The previous prime is 1122340244359. The next prime is 1122340244479. The reversal of 1122340244431 is 1344420432211.

It is a happy number.

It is not a de Polignac number, because 1122340244431 - 211 = 1122340242383 is a prime.

It is a super-2 number, since 2×11223402444312 (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 = 1122340244393 and 1122340244402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122340244491) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 274341696 + ... + 274345786.

It is an arithmetic number, because the mean of its divisors is an integer number (21657073680).

Almost surely, 21122340244431 is an apocalyptic number.

1122340244431 is a deficient number, since it is larger than the sum of its proper divisors (263712471089).

1122340244431 is a wasteful number, since it uses less digits than its factorization.

1122340244431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4816.

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 1122340244431 its reverse (1344420432211), we get a palindrome (2466760676642).

The spelling of 1122340244431 in words is "one trillion, one hundred twenty-two billion, three hundred forty million, two hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 7 29 43 53 203 301 371 593 1247 1537 2279 4091 4151 8729 10759 15953 17197 25499 28637 31429 66091 118639 120379 175913 178493 216823 220003 462637 739471 830473 911441 1231391 1351447 1517761 2425963 5101477 5176297 6287867 6380087 9323389 9460129 16981741 35710339 39191963 44015069 65263723 70352927 104316409 128576039 270378281 274343741 492470489 730214863 900032273 1892647967 3025175861 3728705131 5528769677 21176231027 26100935917 38701387739 160334320633 1122340244431