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123311010132 = 22327457459341
BaseRepresentation
bin111001011010111101…
…0001011000101010100
3102210021202102100112100
41302311322023011110
54010020104311012
6132352010522100
711623522202112
oct1626572130524
9383252370470
10123311010132
114832893a032
121ba94736330
13b822152c6b
145d7ad8aab2
15331a9d08dc
hex1cb5e8b154

123311010132 has 36 divisors (see below), whose sum is σ = 311745309876. Its totient is φ = 41098068480.

The previous prime is 123311010107. The next prime is 123311010157. The reversal of 123311010132 is 231010113321.

It is an interprime number because it is at equal distance from previous prime (123311010107) and next prime (123311010157).

It can be written as a sum of positive squares in 2 ways, for example, as 59607269316 + 63703740816 = 244146^2 + 252396^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 38782 + ... + 498122.

It is an arithmetic number, because the mean of its divisors is an integer number (8659591941).

Almost surely, 2123311010132 is an apocalyptic number.

123311010132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123311010132 is an abundant number, since it is smaller than the sum of its proper divisors (188434299744).

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

123311010132 is a wasteful number, since it uses less digits than its factorization.

123311010132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466808 (or 466803 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 123311010132 its reverse (231010113321), we get a palindrome (354321123453).

The spelling of 123311010132 in words is "one hundred twenty-three billion, three hundred eleven million, ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 7457 14914 22371 29828 44742 67113 89484 134226 268452 459341 918682 1378023 1837364 2756046 4134069 5512092 8268138 16536276 3425305837 6850611674 10275917511 13701223348 20551835022 30827752533 41103670044 61655505066 123311010132