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21136355363112 = 233114871487110557
BaseRepresentation
bin1001100111001001100001…
…11101000000100100101000
32202211121121221120001222120
410303210300331000210220
510232244223433104422
6112541524013151240
74311023406155463
oct463446075004450
982747557501876
1021136355363112
116809972640470
12245444a78b520
13ba41c4033192
1453100dc442da
15269c1239145c
hex133930f40928

21136355363112 has 128 divisors (see below), whose sum is σ = 57802340413440. Its totient is φ = 6387448078080.

The previous prime is 21136355363111. The next prime is 21136355363143.

21136355363112 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (21136355363111) 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, 191125338 + ... + 191235894.

It is an arithmetic number, because the mean of its divisors is an integer number (451580784480).

Almost surely, 221136355363112 is an apocalyptic number.

21136355363112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21136355363112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28901170206720).

21136355363112 is an abundant number, since it is smaller than the sum of its proper divisors (36665985050328).

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

21136355363112 is a wasteful number, since it uses less digits than its factorization.

21136355363112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112551 (or 112547 counting only the distinct ones).

The product of its digits is 291600, while the sum is 42.

It can be divided in two parts, 2113635 and 5363112, that added together give a palindrome (7476747).

The spelling of 21136355363112 in words is "twenty-one trillion, one hundred thirty-six billion, three hundred fifty-five million, three hundred sixty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 487 974 1461 1487 1948 2922 2974 3896 4461 5357 5844 5948 8922 10714 11688 11896 16071 16357 17844 21428 32142 32714 35688 42856 49071 64284 65428 98142 110557 128568 130856 196284 221114 331671 392568 442228 663342 724169 884456 1216127 1326684 1448338 2172507 2432254 2653368 2896676 3648381 4345014 4864508 5793352 7296762 7965859 8690028 9729016 14593524 15931718 17380056 23897577 29187048 31863436 47795154 53841259 63726872 95590308 107682518 161523777 164398259 191180616 215365036 323047554 328796518 430730072 493194777 592253849 646095108 657593036 986389554 1184507698 1292190216 1315186072 1776761547 1808380849 1972779108 2369015396 3553523094 3616761698 3945558216 4738030792 5425142547 7107046188 7233523396 10850285094 14214092376 14467046792 21700570188 43401140376 80061952133 160123904266 240185856399 320247808532 480371712798 640495617064 880681473463 960743425596 1761362946926 1921486851192 2642044420389 3522725893852 5284088840778 7045451787704 10568177681556 21136355363112