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21126906801 = 327111311320753
BaseRepresentation
bin10011101011010000…
…110000001110110001
32000112101000001202200
4103223100300032301
5321231442004201
613412222533413
71345354513320
oct235320601661
960471001680
1021126906801
118a61651860
124117437269
131cb8cb96b0
141045c2a0b7
15839b69386
hex4eb4303b1

21126906801 has 96 divisors (see below), whose sum is σ = 41337983232. Its totient is φ = 10040647680.

The previous prime is 21126906781. The next prime is 21126906817. The reversal of 21126906801 is 10860962112.

It is not a de Polignac number, because 21126906801 - 210 = 21126905777 is a prime.

It is a super-3 number, since 3×211269068013 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21126906821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1007641 + ... + 1028393.

It is an arithmetic number, because the mean of its divisors is an integer number (430603992).

Almost surely, 221126906801 is an apocalyptic number.

21126906801 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21126906801 is a deficient number, since it is larger than the sum of its proper divisors (20211076431).

21126906801 is a wasteful number, since it uses less digits than its factorization.

21126906801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20903 (or 20900 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 21126906801 in words is "twenty-one billion, one hundred twenty-six million, nine hundred six thousand, eight hundred one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 113 117 143 231 273 339 429 693 791 819 1001 1017 1243 1287 1469 2373 3003 3729 4407 7119 8701 9009 10283 11187 13221 16159 20753 26103 30849 48477 62259 78309 92547 113113 145271 145431 186777 228283 269789 339339 435813 684849 809367 1018017 1307439 1597981 1888523 2054547 2345089 2428101 2967679 4793943 5665569 7035267 8903037 14381829 16415623 16996707 20773753 21105801 25795979 26709111 30486157 49246869 62321259 77387937 91458471 147740607 180571853 186963777 213403099 232163811 274375413 335347727 541715559 640209297 1006043181 1625146677 1920627891 2347434089 3018129543 7042302267 21126906801