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21100243080444 = 22311374751909341
BaseRepresentation
bin1001100110000110010000…
…11111100101010011111100
32202201011102012221001001220
410303003020133211103330
510231201244212033234
6112513152353433340
74305304456631523
oct463031037452374
982634365831056
1021100243080444
1167a5621155a60
12244945086b850
13ba098a54ac98
1452d385b1d4ba
15268cebd50a49
hex1330c87e54fc

21100243080444 has 96 divisors (see below), whose sum is σ = 55172994573312. Its totient is φ = 6219885600000.

The previous prime is 21100243080437. The next prime is 21100243080493. The reversal of 21100243080444 is 44408034200112.

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

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 31 ways as a sum of consecutive naturals, for example, 22749214 + ... + 23658554.

It is an arithmetic number, because the mean of its divisors is an integer number (574718693472).

Almost surely, 221100243080444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21100243080444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27586497286656).

21100243080444 is an abundant number, since it is smaller than the sum of its proper divisors (34072751492868).

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

21100243080444 is a wasteful number, since it uses less digits than its factorization.

21100243080444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914147 (or 914145 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 21100243080444 its reverse (44408034200112), we get a palindrome (65508277280556).

The spelling of 21100243080444 in words is "twenty-one trillion, one hundred billion, two hundred forty-three million, eighty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4751 4884 9502 14253 19004 28506 52261 57012 104522 156783 175787 209044 313566 351574 527361 627132 703148 909341 1054722 1818682 1933657 2109444 2728023 3637364 3867314 5456046 5800971 7734628 10002751 10912092 11601942 20005502 23203884 30008253 33645617 40011004 60016506 67291234 100936851 120033012 134582468 201873702 370101787 403747404 740203574 1110305361 1480407148 2220610722 4320279091 4441221444 8640558182 12960837273 17281116364 25921674546 47523070001 51843349092 95046140002 142569210003 159850326367 190092280004 285138420006 319700652734 479550979101 570276840012 639401305468 959101958202 1758353590037 1918203916404 3516707180074 5275060770111 7033414360148 10550121540222 21100243080444