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21300024441102 = 231137145115233947
BaseRepresentation
bin1001101011111010011000…
…11000111111100100001110
32210102021002022210200202220
410311331030120333210032
510242434422224103402
6113145032433400210
74325606314320201
oct465751430774416
983367068720686
1021300024441102
116872320563190
122480107109066
13bb6778487b64
14538cd8b69938
1526e0e0ed7dbc
hex135f4c63f90e

21300024441102 has 128 divisors (see below), whose sum is σ = 47805164402688. Its totient is φ = 6270067728000.

The previous prime is 21300024441097. The next prime is 21300024441173. The reversal of 21300024441102 is 20114442000312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5396507893 + ... + 5396511839.

It is an arithmetic number, because the mean of its divisors is an integer number (373477846896).

Almost surely, 221300024441102 is an apocalyptic number.

21300024441102 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 21300024441102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23902582201344).

21300024441102 is an abundant number, since it is smaller than the sum of its proper divisors (26505139961586).

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

21300024441102 is a wasteful number, since it uses less digits than its factorization.

21300024441102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6974.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 21300024441102 its reverse (20114442000312), we get a palindrome (41414466441414).

The spelling of 21300024441102 in words is "twenty-one trillion, three hundred billion, twenty-four million, four hundred forty-one thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 1451 1523 2442 2902 3046 3947 4353 4569 7894 8706 9138 11841 15961 16753 23682 31922 33506 43417 47883 50259 53687 56351 86834 95766 100518 107374 112702 130251 146039 161061 169053 260502 292078 322122 338106 438117 590557 619861 876234 1181114 1239722 1606429 1771671 1859583 2209873 3212858 3543342 3719166 4419746 4819287 5727097 6011281 6629619 9638574 11454194 12022562 13259238 17181291 18033843 24308603 34362582 36067686 48617206 62998067 66124091 72925809 81765301 125996134 132248182 145851618 163530602 188994201 198372273 211902589 222417397 245295903 377988402 396744546 423805178 444834794 490591806 635707767 667252191 899418311 1271415534 1334504382 1798836622 2330928479 2446591367 2698254933 4661856958 4893182734 5396509866 6992785437 7339774101 8722368731 13985570874 14679548202 17444737462 26167106193 52334212386 95946056041 191892112082 287838168123 322727643047 575676336246 645455286094 968182929141 1936365858282 3550004073517 7100008147034 10650012220551 21300024441102