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231121144324 = 227531379191237
BaseRepresentation
bin1101011100111111100…
…1001100101000000100
3211002120020012121202101
43113033321030220010
512241314003104244
6254101532121444
722461253212130
oct3271771145004
9732506177671
10231121144324
118a021951594
1238962006284
1318a43a59185
14b2873b03c0
15602a70e0d4
hex35cfe4ca04

231121144324 has 96 divisors (see below), whose sum is σ = 475301675520. Its totient is φ = 96290767872.

The previous prime is 231121144253. The next prime is 231121144333. The reversal of 231121144324 is 423441121132.

It is a happy number.

231121144324 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 231121144292 and 231121144301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186839434 + ... + 186840670.

It is an arithmetic number, because the mean of its divisors is an integer number (4951059120).

Almost surely, 2231121144324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231121144324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237650837760).

231121144324 is an abundant number, since it is smaller than the sum of its proper divisors (244180531196).

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

231121144324 is a wasteful number, since it uses less digits than its factorization.

231121144324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2355 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

Adding to 231121144324 its reverse (423441121132), we get a palindrome (654562265456).

It can be divided in two parts, 2311211 and 44324, that added together give a triangular number (2355535 = T2170).

The spelling of 231121144324 in words is "two hundred thirty-one billion, one hundred twenty-one million, one hundred forty-four thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 53 106 137 212 274 371 548 742 919 959 1237 1484 1838 1918 2474 3676 3836 4948 6433 7261 8659 12866 14522 17318 25732 29044 34636 48707 50827 65561 97414 101654 125903 131122 169469 194828 203308 251806 262244 338938 340949 458927 503612 677876 681898 881321 917854 1136803 1186283 1363796 1762642 1835708 2273606 2372566 3525284 4547212 4745132 6672859 7957621 8981857 13345718 15915242 17963714 26691436 31830484 35927428 46710013 60250559 62872999 93420026 120501118 125745998 155742011 186840052 241002236 251491996 311484022 421753913 622968044 843507826 1090194077 1687015652 2180388154 4360776308 8254326583 16508653166 33017306332 57780286081 115560572162 231121144324