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131300120021310 = 232523814787127997
BaseRepresentation
bin11101110110101010110001…
…000000110100100100111110
3122012220011120010012110021200
4131312222301000310210332
5114202210121211140220
61143130235322040330
736441056242433412
oct3566526100644476
9565804503173250
10131300120021310
1138922082846189
1212886a146490a6
1358357184b3146
14245cd6166ad42
15102a63dcca890
hex776ab103493e

131300120021310 has 96 divisors (see below), whose sum is σ = 341597701684512. Its totient is φ = 34991075454720.

The previous prime is 131300120021309. The next prime is 131300120021321. The reversal of 131300120021310 is 13120021003131.

131300120021310 is a `hidden beast` number, since 1 + 3 + 130 + 0 + 1 + 200 + 21 + 310 = 666.

131300120021310 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1313001200213102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1025742232 + ... + 1025870228.

It is an arithmetic number, because the mean of its divisors is an integer number (3558309392547).

Almost surely, 2131300120021310 is an apocalyptic number.

131300120021310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131300120021310 is an abundant number, since it is smaller than the sum of its proper divisors (210297581663202).

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

131300120021310 is a wasteful number, since it uses less digits than its factorization.

131300120021310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135178 (or 135175 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131300120021310 its reverse (13120021003131), we get a palindrome (144420141024441).

The spelling of 131300120021310 in words is "one hundred thirty-one trillion, three hundred billion, one hundred twenty million, twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2381 4762 4787 7143 9574 11905 14286 14361 21429 23810 23935 28722 35715 42858 43083 47870 71430 71805 86166 107145 127997 143610 214290 215415 255994 383991 430830 639985 767982 1151973 1279970 1919955 2303946 3839910 5759865 11397847 11519730 22795694 34193541 56989235 68387082 102580623 113978470 170967705 205161246 304760857 341935410 512903115 609521714 612721639 914282571 1025806230 1225443278 1523804285 1828565142 1838164917 2742847713 3047608570 3063608195 3676329834 4571412855 5485695426 5514494751 6127216390 9142825710 9190824585 11028989502 13714238565 18381649170 27428477130 27572473755 55144947510 1458890222459 2917780444918 4376670667377 7294451112295 8753341334754 13130012002131 14588902224590 21883353336885 26260024004262 43766706673770 65650060010655 131300120021310