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21110821280 = 2554122314431
BaseRepresentation
bin10011101010010011…
…011001000110100000
32000111020201211120122
4103222103121012200
5321213332240110
613410450055412
71345101006623
oct235223310640
960436654518
1021110821280
118a5356553a
124111b7a568
131cb5876c33
141043a3ddba
1583853d255
hex4ea4d91a0

21110821280 has 96 divisors (see below), whose sum is σ = 51323424768. Its totient is φ = 8200857600.

The previous prime is 21110821279. The next prime is 21110821297. The reversal of 21110821280 is 8212801112.

It is a super-2 number, since 2×211108212802 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1455665 + ... + 1470095.

It is an arithmetic number, because the mean of its divisors is an integer number (534619008).

Almost surely, 221110821280 is an apocalyptic number.

21110821280 is a gapful number since it is divisible by the number (20) 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 21110821280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25661712384).

21110821280 is an abundant number, since it is smaller than the sum of its proper divisors (30212603488).

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

21110821280 is a wasteful number, since it uses less digits than its factorization.

21110821280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14710 (or 14702 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 26.

The spelling of 21110821280 in words is "twenty-one billion, one hundred ten million, eight hundred twenty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 223 328 410 446 656 820 892 1115 1312 1640 1784 2230 3280 3568 4460 6560 7136 8920 9143 14431 17840 18286 28862 35680 36572 45715 57724 72155 73144 91430 115448 144310 146288 182860 230896 288620 292576 365720 461792 577240 591671 731440 1154480 1183342 1462880 2308960 2366684 2958355 3218113 4733368 5916710 6436226 9466736 11833420 12872452 16090565 18933472 23666840 25744904 32181130 47333680 51489808 64362260 94667360 102979616 128724520 131942633 257449040 263885266 514898080 527770532 659713165 1055541064 1319426330 2111082128 2638852660 4222164256 5277705320 10555410640 21110821280