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21300101202000 = 2435319186842993
BaseRepresentation
bin1001101011111010100001…
…11101110100000001010000
32210102021021200020112221010
410311331100331310001100
510242440101401431000
6113145044214530520
74325611235632665
oct465752075640120
983367250215833
1021300101202000
11687235a921845
122480128966a40
13bb678b352aca
14538d0502ba6c
1526e0e7aebd50
hex135f50f74050

21300101202000 has 160 divisors (see below), whose sum is σ = 72285817518720. Its totient is φ = 5381078169600.

The previous prime is 21300101201999. The next prime is 21300101202001. The reversal of 21300101202000 is 20210100312.

It is an interprime number because it is at equal distance from previous prime (21300101201999) and next prime (21300101202001).

It is a super-3 number, since 3×213001012020003 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (21300101202001) 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, 93307497 + ... + 93535496.

It is an arithmetic number, because the mean of its divisors is an integer number (451786359492).

Almost surely, 221300101202000 is an apocalyptic number.

21300101202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21300101202000 is an abundant number, since it is smaller than the sum of its proper divisors (50985716316720).

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

21300101202000 is a wasteful number, since it uses less digits than its factorization.

21300101202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186843038 (or 186843022 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21300101202000 its reverse (20210100312), we get a palindrome (21320311302312).

The spelling of 21300101202000 in words is "twenty-one trillion, three hundred billion, one hundred one million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 125 150 152 190 200 228 240 250 285 300 304 375 380 400 456 475 500 570 600 750 760 912 950 1000 1140 1200 1425 1500 1520 1900 2000 2280 2375 2850 3000 3800 4560 4750 5700 6000 7125 7600 9500 11400 14250 19000 22800 28500 38000 57000 114000 186842993 373685986 560528979 747371972 934214965 1121057958 1494743944 1868429930 2242115916 2802644895 2989487888 3550016867 3736859860 4484231832 4671074825 5605289790 7100033734 7473719720 8968463664 9342149650 10650050601 11210579580 14013224475 14200067468 14947439440 17750084335 18684299300 21300101202 22421159160 23355374125 28026448950 28400134936 35500168670 37368598600 42600202404 44842318320 46710748250 53250253005 56052897900 56800269872 70066122375 71000337340 74737197200 85200404808 88750421675 93421496500 106500506010 112105795800 140132244750 142000674680 170400809616 177500843350 186842993000 213001012020 224211591600 266251265025 280264489500 284001349360 355001686700 373685986000 426002024040 443752108375 532502530050 560528979000 710003373400 852004048080 887504216750 1065005060100 1121057958000 1331256325125 1420006746800 1775008433500 2130010120200 2662512650250 3550016867000 4260020240400 5325025300500 7100033734000 10650050601000 21300101202000