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101313320130 = 23451111370743
BaseRepresentation
bin101111001011010111…
…1101001010011000010
3100200111200212220210000
41132112233221103002
53124442202221010
6114313120020430
710214432004111
oct1362657512302
9320450786700
10101313320130
1139a6a800a40
1217775761716
13972792c549
144c9164bc78
15297e6ab7c0
hex1796be94c2

101313320130 has 80 divisors (see below), whose sum is σ = 297185765184. Its totient is φ = 24560802720.

The previous prime is 101313320111. The next prime is 101313320153. The reversal of 101313320130 is 31023313101.

It is a happy number.

101313320130 is a `hidden beast` number, since 1 + 0 + 1 + 313 + 320 + 1 + 30 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5676462 + ... + 5694281.

Almost surely, 2101313320130 is an apocalyptic number.

101313320130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101313320130 is an abundant number, since it is smaller than the sum of its proper divisors (195872445054).

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

101313320130 is a wasteful number, since it uses less digits than its factorization.

101313320130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11370773 (or 11370764 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101313320130 its reverse (31023313101), we get a palindrome (132336633231).

The spelling of 101313320130 in words is "one hundred one billion, three hundred thirteen million, three hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 810 891 990 1485 1782 2970 4455 8910 11370743 22741486 34112229 56853715 68224458 102336687 113707430 125078173 170561145 204673374 250156346 307010061 341122290 375234519 511683435 614020122 625390865 750469038 921030183 1023366870 1125703557 1250781730 1535050305 1842060366 1876172595 2251407114 3070100610 3377110671 3752345190 4605150915 5628517785 6754221342 9210301830 10131332013 11257035570 16885553355 20262664026 33771106710 50656660065 101313320130