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11312023122 = 2321961678093
BaseRepresentation
bin10101000100011111…
…11100011001010010
31002012100120022111100
422202033330121102
5141131334214442
65110251525230
7550215416151
oct124217743122
932170508440
1011312023122
114885384444
122238459816
1310b3774b0a
147944d3598
1546317584c
hex2a23fc652

11312023122 has 96 divisors (see below), whose sum is σ = 26616957120. Its totient is φ = 3460786560.

The previous prime is 11312023109. The next prime is 11312023157. The reversal of 11312023122 is 22132021311.

11312023122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113120231222 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11312023095 and 11312023104.

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 47 ways as a sum of consecutive naturals, for example, 1393708 + ... + 1401800.

It is an arithmetic number, because the mean of its divisors is an integer number (277259970).

Almost surely, 211312023122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11312023122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13308478560).

11312023122 is an abundant number, since it is smaller than the sum of its proper divisors (15304933998).

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

11312023122 is a wasteful number, since it uses less digits than its factorization.

11312023122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8248 (or 8245 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11312023122 its reverse (22132021311), we get a palindrome (33444044433).

The spelling of 11312023122 in words is "eleven billion, three hundred twelve million, twenty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 61 67 114 122 134 171 183 201 342 366 402 549 603 1098 1159 1206 1273 2318 2546 3477 3819 4087 6954 7638 8093 8174 10431 11457 12261 16186 20862 22914 24279 24522 36783 48558 72837 73566 77653 145674 153767 155306 232959 307534 461301 465918 493673 542231 698877 922602 987346 1084462 1383903 1397754 1481019 1626693 2767806 2962038 3253386 4443057 4880079 8886114 9379787 9760158 10302389 18759574 20604778 28139361 30907167 33076091 56278722 61814334 66152182 84418083 92721501 99228273 168836166 185443002 198456546 297684819 595369638 628445729 1256891458 1885337187 3770674374 5656011561 11312023122