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131031211102000 = 2453115955964141
BaseRepresentation
bin11101110010110000010100…
…110010101100111100110000
3122011221110110101121222020121
4131302300110302230330300
5114133303410020231000
61142402523554420024
736412456363354126
oct3562602462547460
9564843411558217
10131031211102000
113882902a765aa0
1212842887591614
135816261ac6601
14244dd3182d916
151023650e18b1a
hex772c14cacf30

131031211102000 has 80 divisors (see below), whose sum is σ = 345636511088544. Its totient is φ = 47647713120000.

The previous prime is 131031211101979. The next prime is 131031211102013. The reversal of 131031211102000 is 201112130131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2977960071 + ... + 2978004070.

Almost surely, 2131031211102000 is an apocalyptic number.

131031211102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131031211102000 is an abundant number, since it is smaller than the sum of its proper divisors (214605299986544).

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

131031211102000 is a wasteful number, since it uses less digits than its factorization.

131031211102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5955964175 (or 5955964159 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 131031211102000 its reverse (201112130131), we get a palindrome (131232323232131).

The spelling of 131031211102000 in words is "one hundred thirty-one trillion, thirty-one billion, two hundred eleven million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 5955964141 11911928282 23823856564 29779820705 47647713128 59559641410 65515605551 95295426256 119119282820 131031211102 148899103525 238238565640 262062422204 297798207050 327578027755 476477131280 524124844408 595596414100 655156055510 744495517625 1048249688816 1191192828200 1310312111020 1488991035250 1637890138775 2382385656400 2620624222040 2977982070500 3275780277550 5241248444080 5955964141000 6551560555100 8189450693875 11911928282000 13103121110200 16378901387750 26206242220400 32757802775500 65515605551000 131031211102000