Search a number
-
+
1123201332006 = 2313232933764063
BaseRepresentation
bin10000010110000100000…
…001000011001100100110
310222101011211110112220120
4100112010001003030212
5121400304020111011
62215554102342410
7144101655536625
oct20260401031446
93871154415816
101123201332006
113a338a963146
12161825a2aa06
1381bc0799ab0
143c512a036bc
151e33c7cea06
hex10584043326

1123201332006 has 128 divisors (see below), whose sum is σ = 2619223326720. Its totient is φ = 318223116288.

The previous prime is 1123201331981. The next prime is 1123201332031. The reversal of 1123201332006 is 6002331023211.

It is an interprime number because it is at equal distance from previous prime (1123201331981) and next prime (1123201332031).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17500731 + ... + 17564793.

It is an arithmetic number, because the mean of its divisors is an integer number (20462682240).

Almost surely, 21123201332006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123201332006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309611663360).

1123201332006 is an abundant number, since it is smaller than the sum of its proper divisors (1496021994714).

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

1123201332006 is a wasteful number, since it uses less digits than its factorization.

1123201332006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64470.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1123201332006 its reverse (6002331023211), we get a palindrome (7125532355217).

The spelling of 1123201332006 in words is "one trillion, one hundred twenty-three billion, two hundred one million, three hundred thirty-two thousand, six".

Divisors: 1 2 3 6 13 23 26 29 39 46 58 69 78 87 138 174 299 337 377 598 667 674 754 897 1011 1131 1334 1794 2001 2022 2262 4002 4381 7751 8671 8762 9773 13143 15502 17342 19546 23253 26013 26286 29319 46506 52026 58638 64063 100763 127049 128126 192189 201526 224779 254098 302289 381147 384378 449558 604578 674337 762294 832819 1348674 1473449 1665638 1857827 2498457 2922127 2946898 3715654 4420347 4996914 5573481 5844254 8766381 8840694 11146962 17532762 19154837 21589231 24151751 38309674 42730021 43178462 48303502 57464511 64767693 72455253 85460042 114929022 128190063 129535386 144910506 256380126 280660003 496552313 555490273 561320006 626087699 841980009 993104626 1110980546 1252175398 1489656939 1666470819 1683960018 1878263097 2979313878 3332941638 3756526194 6455180069 8139140087 12910360138 14400017077 16278280174 19365540207 24417420261 28800034154 38731080414 43200051231 48834840522 86400102462 187200222001 374400444002 561600666003 1123201332006