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21302100232014 = 23719367383189913
BaseRepresentation
bin1001101011111110010000…
…00111100000011101001110
32210102110102222202210120210
410311333020013200131032
510243003200124411024
6113150014425023250
74326011621254560
oct465771007403516
983373388683523
1021302100232014
116873196266668
1224805a6324b26
13bb6a1954a7c4
14539054713330
1526e1b336c129
hex135fc81e074e

21302100232014 has 128 divisors (see below), whose sum is σ = 51527284162560. Its totient is φ = 5735226933504.

The previous prime is 21302100231911. The next prime is 21302100232067. The reversal of 21302100232014 is 41023200120312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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, 112072722 + ... + 112262634.

It is an arithmetic number, because the mean of its divisors is an integer number (402556907520).

Almost surely, 221302100232014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21302100232014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25763642081280).

21302100232014 is an abundant number, since it is smaller than the sum of its proper divisors (30225183930546).

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

21302100232014 is a wasteful number, since it uses less digits than its factorization.

21302100232014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190694.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 21302100232014 its reverse (41023200120312), we get a palindrome (62325300352326).

The spelling of 21302100232014 in words is "twenty-one trillion, three hundred two billion, one hundred million, two hundred thirty-two thousand, fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 367 383 399 734 766 798 1101 1149 2202 2298 2569 2681 5138 5362 6973 7277 7707 8043 13946 14554 15414 16086 20919 21831 41838 43662 48811 50939 97622 101878 140561 146433 152817 189913 281122 292866 305634 379826 421683 569739 843366 983927 1139478 1329391 1967854 2658782 2670659 2951781 3608347 3988173 5341318 5903562 7216694 7976346 8011977 10825041 16023954 18694613 21650082 25258429 37389226 50516858 56083839 69698071 72736679 75775287 112167678 139396142 145473358 151550574 209094213 218210037 418188426 436420074 487886497 509156753 975772994 1018313506 1324263349 1381996901 1463659491 1527470259 2648526698 2763993802 2927318982 3054940518 3972790047 4145990703 7945580094 8291981406 9269843443 9673978307 18539686886 19347956614 26694361193 27809530329 29021934921 53388722386 55619060658 58043869842 80083083579 160166167158 186860528351 373721056702 507192862667 560581585053 1014385725334 1121163170106 1521578588001 3043157176002 3550350038669 7100700077338 10651050116007 21302100232014