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13102201011000 = 2335310940067893
BaseRepresentation
bin1011111010101001100000…
…0010010111101100111000
31201101120001220201211000010
42332222120002113230320
53204131301424323000
643511022410541520
72521413520016523
oct276523002275470
951346056654003
1013102201011000
1141a1680995a52
1215773647378a0
137406bc49171a
14334215507bba
1517ac41c3cd50
hexbea98097b38

13102201011000 has 128 divisors (see below), whose sum is σ = 41253903662400. Its totient is φ = 3461865868800.

The previous prime is 13102201010981. The next prime is 13102201011001. The reversal of 13102201011000 is 11010220131.

13102201011000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102201011001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19706947 + ... + 20360946.

Almost surely, 213102201011000 is an apocalyptic number.

13102201011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13102201011000 is an abundant number, since it is smaller than the sum of its proper divisors (28151702651400).

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

13102201011000 is a wasteful number, since it uses less digits than its factorization.

13102201011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40068026 (or 40068012 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 13102201011000 its reverse (11010220131), we get a palindrome (13113211231131).

The spelling of 13102201011000 in words is "thirteen trillion, one hundred two billion, two hundred one million, eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 109 120 125 150 200 218 250 300 327 375 436 500 545 600 654 750 872 1000 1090 1308 1500 1635 2180 2616 2725 3000 3270 4360 5450 6540 8175 10900 13080 13625 16350 21800 27250 32700 40875 54500 65400 81750 109000 163500 327000 40067893 80135786 120203679 160271572 200339465 240407358 320543144 400678930 480814716 601018395 801357860 961629432 1001697325 1202036790 1602715720 2003394650 2404073580 3005091975 4006789300 4367400337 4808147160 5008486625 6010183950 8013578600 8734800674 10016973250 12020367900 13102201011 15025459875 17469601348 20033946500 21837001685 24040735800 26204402022 30050919750 34939202696 40067893000 43674003370 52408804044 60101839500 65511005055 87348006740 104817608088 109185008425 120203679000 131022010110 174696013480 218370016850 262044020220 327555025275 436740033700 524088040440 545925042125 655110050550 873480067400 1091850084250 1310220101100 1637775126375 2183700168500 2620440202200 3275550252750 4367400337000 6551100505500 13102201011000