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131012211234344 = 231173115317687927
BaseRepresentation
bin11101110010011110101000…
…010011111101011000101000
3122011212122102021000200122112
4131302132220103331120220
5114133001002033444334
61142350102353341452
736411214504222016
oct3562365023753050
9564778367020575
10131012211234344
1138820a6a840230
121283b064567888
1358145246a417b
14244d04c2cb8b6
151022ddcda84ce
hex7727a84fd628

131012211234344 has 64 divisors (see below), whose sum is σ = 271886093907840. Its totient is φ = 58684293365760.

The previous prime is 131012211234341. The next prime is 131012211234371. The reversal of 131012211234344 is 443432112210131.

It is a super-2 number, since 2×1310122112343442 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131012211234344.

It is not an unprimeable number, because it can be changed into a prime (131012211234341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1437092 + ... + 16250835.

It is an arithmetic number, because the mean of its divisors is an integer number (4248220217310).

Almost surely, 2131012211234344 is an apocalyptic number.

It is an amenable number.

131012211234344 is an abundant number, since it is smaller than the sum of its proper divisors (140873882673496).

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

131012211234344 is a wasteful number, since it uses less digits than its factorization.

131012211234344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17689170 (or 17689166 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 131012211234344 its reverse (443432112210131), we get a palindrome (574444323444475).

The spelling of 131012211234344 in words is "one hundred thirty-one trillion, twelve billion, two hundred eleven million, two hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 73 88 146 292 584 803 1153 1606 2306 3212 4612 6424 9224 12683 25366 50732 84169 101464 168338 336676 673352 925859 1851718 3703436 7406872 17687927 35375854 70751708 141503416 194567197 389134394 778268788 1291218671 1556537576 2582437342 5164874684 10329749368 14203405381 20394179831 28406810762 40788359662 56813621524 81576719324 113627243048 163153438648 224335978141 448671956282 897343912564 1488775127663 1794687825128 2977550255326 5955100510652 11910201021304 16376526404293 32753052808586 65506105617172 131012211234344