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21107014102482 = 23711197639314771
BaseRepresentation
bin1001100110010010111000…
…00100111110110111010010
32202201210220002210121010220
410303021130010332313102
510231304131102234412
6112520232312133510
74305634325442540
oct463113404766722
982653802717126
1021107014102482
1167a8486225040
12244a820397296
13ba14c9291bb9
1452d8290b2d90
152690964d968c
hex13325c13edd2

21107014102482 has 128 divisors (see below), whose sum is σ = 55407930163200. Its totient is φ = 5193100641600.

The previous prime is 21107014102481. The next prime is 21107014102541. The reversal of 21107014102482 is 28420141070112.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (21107014102481) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 66897757 + ... + 67212527.

It is an arithmetic number, because the mean of its divisors is an integer number (432874454400).

Almost surely, 221107014102482 is an apocalyptic number.

21107014102482 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21107014102482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27703965081600).

21107014102482 is an abundant number, since it is smaller than the sum of its proper divisors (34300916060718).

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

21107014102482 is a wasteful number, since it uses less digits than its factorization.

21107014102482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322452.

The product of its (nonzero) digits is 7168, while the sum is 33.

Adding to 21107014102482 its reverse (28420141070112), we get a palindrome (49527155172594).

The spelling of 21107014102482 in words is "twenty-one trillion, one hundred seven billion, fourteen million, one hundred two thousand, four hundred eighty-two".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 133 154 209 231 266 399 418 462 627 798 1254 1463 2926 4389 7639 8778 15278 22917 45834 53473 84029 106946 145141 160419 168058 252087 290282 314771 320838 435423 504174 588203 629542 870846 944313 1015987 1176406 1596551 1764609 1888626 2031974 2203397 3047961 3193102 3462481 3529218 4406794 4789653 5980649 6095922 6610191 6924962 9579306 10387443 11175857 11961298 13220382 17941947 20774886 22351714 24237367 33527571 35883894 41864543 48474734 65787139 67055142 72712101 83729086 125593629 131574278 145424202 197361417 251187258 394722834 460509973 921019946 1381529919 2404535669 2763059838 4809071338 7213607007 14427214014 16831749683 26449892359 33663499366 45686177711 50495249049 52899784718 79349677077 91372355422 100990498098 137058533133 158699354154 185149246513 274117066266 319803243977 370298493026 502547954821 555447739539 639606487954 959409731931 1005095909642 1110895479078 1507643864463 1918819463862 3015287728926 3517835683747 7035671367494 10553507051241 21107014102482