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123131403200 = 2652135919779
BaseRepresentation
bin111001010101100110…
…1000001101111000000
3102202211020110101010202
41302223031001233000
54004133114400300
6132322113144332
711616211441541
oct1625315015700
9382736411122
10123131403200
1148246515753
121ba4455b0a8
13b7c3b88c80
145d611964c8
153309d53ad5
hex1cab341bc0

123131403200 has 84 divisors (see below), whose sum is σ = 326286434040. Its totient is φ = 45463895040.

The previous prime is 123131403191. The next prime is 123131403247. The reversal of 123131403200 is 2304131321.

It is a super-2 number, since 2×1231314032002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 2939090 + ... + 2980689.

It is an arithmetic number, because the mean of its divisors is an integer number (3884362310).

Almost surely, 2123131403200 is an apocalyptic number.

123131403200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123131403200 is an abundant number, since it is smaller than the sum of its proper divisors (203155030840).

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

123131403200 is a wasteful number, since it uses less digits than its factorization.

123131403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5919814 (or 5919799 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 123131403200 its reverse (2304131321), we get a palindrome (125435534521).

The spelling of 123131403200 in words is "one hundred twenty-three billion, one hundred thirty-one million, four hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 130 160 200 208 260 320 325 400 416 520 650 800 832 1040 1300 1600 2080 2600 4160 5200 10400 20800 5919779 11839558 23679116 29598895 47358232 59197790 76957127 94716464 118395580 147994475 153914254 189432928 236791160 295988950 307828508 378865856 384785635 473582320 591977900 615657016 769571270 947164640 1183955800 1231314032 1539142540 1894329280 1923928175 2367911600 2462628064 3078285080 3847856350 4735823200 4925256128 6156570160 7695712700 9471646400 12313140320 15391425400 24626280640 30782850800 61565701600 123131403200