Search a number
-
+
1123043221422 = 2331747191136277
BaseRepresentation
bin10000010101111010100…
…101111001111110101110
310222100202210221200222000
4100111322211321332232
5121344443031041142
62215530253433130
7144065025610053
oct20257245717656
93870683850860
101123043221422
113a3309691341
121617a0a9b7a6
1381b96abb335
143c4d9a0702a
151e32d99c14c
hex1057a979fae

1123043221422 has 128 divisors (see below), whose sum is σ = 2712826183680. Its totient is φ = 343023045120.

The previous prime is 1123043221409. The next prime is 1123043221423. The reversal of 1123043221422 is 2241223403211.

1123043221422 is a `hidden beast` number, since 1 + 1 + 2 + 304 + 322 + 14 + 22 = 666.

It is a super-2 number, since 2×11230432214222 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123043221423) 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, 8172748 + ... + 8309024.

It is an arithmetic number, because the mean of its divisors is an integer number (21193954560).

Almost surely, 21123043221422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123043221422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356413091840).

1123043221422 is an abundant number, since it is smaller than the sum of its proper divisors (1589782962258).

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

1123043221422 is a wasteful number, since it uses less digits than its factorization.

1123043221422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136543 (or 136537 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1123043221422 its reverse (2241223403211), we get a palindrome (3364266624633).

The spelling of 1123043221422 in words is "one trillion, one hundred twenty-three billion, forty-three million, two hundred twenty-one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 47 51 54 94 102 141 153 191 282 306 382 423 459 573 799 846 918 1146 1269 1598 1719 2397 2538 3247 3438 4794 5157 6494 7191 8977 9741 10314 14382 17954 19482 21573 26931 29223 43146 53862 58446 80793 87669 136277 152609 161586 175338 242379 272554 305218 408831 457827 484758 817662 915654 1226493 1373481 2316709 2452986 2746962 3679479 4120443 4633418 6405019 6950127 7358958 8240886 12810038 13900254 19215057 20850381 26028907 38430114 41700762 52057814 57645171 62551143 78086721 108885323 115290342 125102286 156173442 172935513 217770646 234260163 326655969 345871026 442491419 468520326 653311938 702780489 884982838 979967907 1223358629 1327474257 1405560978 1959935814 2446717258 2654948514 2939903721 3670075887 3982422771 5879807442 7340151774 7964845542 11010227661 11947268313 20797096693 22020455322 23894536626 33030682983 41594193386 62391290079 66061365966 124782580158 187173870237 374347740474 561521610711 1123043221422