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231202232122100 = 225217149391092641
BaseRepresentation
bin110100100100011011110110…
…111010101011101011110100
31010022121201101002011110220212
4310210123312322223223310
5220301004132410401400
62135420501131244552
766461544562313501
oct6444336672535364
91108551332143825
10231202232122100
116773935266a8a8
1221b2065b8a9758
139c0137a583325
144114367b384a8
151bae1799b8335
hexd246f6eabaf4

231202232122100 has 72 divisors (see below), whose sum is σ = 531576942320088. Its totient is φ = 86982540083200.

The previous prime is 231202232122097. The next prime is 231202232122133. The reversal of 231202232122100 is 1221232202132.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 779911531876 + 230422320590224 = 883126^2 + 15179668^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43008221 + ... + 48084420.

It is an arithmetic number, because the mean of its divisors is an integer number (7383013087779).

Almost surely, 2231202232122100 is an apocalyptic number.

231202232122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231202232122100 is an abundant number, since it is smaller than the sum of its proper divisors (300374710197988).

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

231202232122100 is a wasteful number, since it uses less digits than its factorization.

231202232122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91094165 (or 91094158 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 231202232122100 its reverse (1221232202132), we get a palindrome (232423464324232).

The spelling of 231202232122100 in words is "two hundred thirty-one trillion, two hundred two billion, two hundred thirty-two million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1493 1700 2986 5972 7465 14930 25381 29860 37325 50762 74650 101524 126905 149300 253810 507620 634525 1269050 2538100 91092641 182185282 364370564 455463205 910926410 1548574897 1821852820 2277316025 3097149794 4554632050 6194299588 7742874485 9109264100 15485748970 30971497940 38714372425 77428744850 136001313013 154857489700 272002626026 544005252052 680006565065 1360013130130 2312022321221 2720026260260 3400032825325 4624044642442 6800065650650 9248089284884 11560111606105 13600131301300 23120223212210 46240446424420 57800558030525 115601116061050 231202232122100