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331012122100 = 2252111717701183
BaseRepresentation
bin1001101000100011101…
…11000010010111110100
31011122101210201001121221
410310101313002113310
520410403100401400
6412022002320124
732625534420442
oct4642167022764
91148353631557
10331012122100
11118421793680
125419b359044
13252a2ab660a
1412041b71b92
1589250b0c1a
hex4d11dc25f4

331012122100 has 72 divisors (see below), whose sum is σ = 829689896448. Its totient is φ = 113287564800.

The previous prime is 331012122073. The next prime is 331012122107. The reversal of 331012122100 is 1221210133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331012122107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8831892 + ... + 8869291.

It is an arithmetic number, because the mean of its divisors is an integer number (11523470784).

Almost surely, 2331012122100 is an apocalyptic number.

It is an amenable number.

331012122100 is an abundant number, since it is smaller than the sum of its proper divisors (498677774348).

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

331012122100 is a wasteful number, since it uses less digits than its factorization.

331012122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17701225 (or 17701218 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 331012122100 its reverse (1221210133), we get a palindrome (332233332233).

The spelling of 331012122100 in words is "three hundred thirty-one billion, twelve million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1100 1700 1870 3740 4675 9350 18700 17701183 35402366 70804732 88505915 177011830 194713013 300920111 354023660 389426026 442529575 601840222 778852052 885059150 973565065 1203680444 1504600555 1770118300 1947130130 3009201110 3310121221 3894260260 4867825325 6018402220 6620242442 7523002775 9735650650 13240484884 15046005550 16550606105 19471301300 30092011100 33101212210 66202424420 82753030525 165506061050 331012122100