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1123332033030 = 235617111937247
BaseRepresentation
bin10000010110001011110…
…011101000101000000110
310222101111221101212000020
4100112023303220220012
5121401041000024110
62220015052000010
7144105133510314
oct20261363505006
93871457355006
101123332033030
113a3447713819
12161861760006
1381c1189c68c
143c5261070b4
151e348eead70
hex1058bce8a06

1123332033030 has 128 divisors (see below), whose sum is σ = 2781500829696. Its totient is φ = 290210995200.

The previous prime is 1123332033013. The next prime is 1123332033041. The reversal of 1123332033030 is 303302333211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155002867 + ... + 155010113.

It is an arithmetic number, because the mean of its divisors is an integer number (21730475232).

Almost surely, 21123332033030 is an apocalyptic number.

1123332033030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123332033030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390750414848).

1123332033030 is an abundant number, since it is smaller than the sum of its proper divisors (1658168796666).

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

1123332033030 is a wasteful number, since it uses less digits than its factorization.

1123332033030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8582.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 1123332033030 its reverse (303302333211), we get a palindrome (1426634366241).

The spelling of 1123332033030 in words is "one trillion, one hundred twenty-three billion, three hundred thirty-two million, thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 61 71 122 142 183 213 305 355 366 426 610 710 915 1065 1193 1830 2130 2386 3579 4331 5965 7158 7247 8662 11930 12993 14494 17895 21655 21741 25986 35790 36235 43310 43482 64965 72470 72773 84703 108705 129930 145546 169406 217410 218319 254109 363865 423515 436638 442067 508218 514537 727730 847030 884134 1029074 1091595 1270545 1326201 1543611 2183190 2210335 2541090 2572685 2652402 3087222 4420670 5145370 5166883 6631005 7718055 8645671 10333766 13262010 15436110 15500649 17291342 25834415 25937013 31001298 31386757 43228355 51668830 51874026 62773514 77503245 86456710 94160271 129685065 155006490 156933785 188320542 259370130 313867570 470801355 527385931 613842641 941602710 1054771862 1227685282 1582157793 1841527923 2636929655 3069213205 3164315586 3683055846 5273859310 6138426410 7910788965 9207639615 15821577930 18415279230 37444401101 74888802202 112333203303 187222005505 224666406606 374444011010 561666016515 1123332033030