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21216701160 = 23325349168869
BaseRepresentation
bin10011110000100111…
…010010101011101000
32000202121222002110200
4103300213102223220
5321422433414120
613425151312200
71350524661414
oct236047225350
960677862420
1021216701160
118aa8302676
12414151b660
132001798b55
141053b21d44
158429a4e90
hex4f09d2ae8

21216701160 has 96 divisors (see below), whose sum is σ = 69152265000. Its totient is φ = 5641542144.

The previous prime is 21216701159. The next prime is 21216701161. The reversal of 21216701160 is 6110761212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21216701159) and next prime (21216701161).

It can be written as a sum of positive squares in 4 ways, for example, as 15098019876 + 6118681284 = 122874^2 + 78222^2 .

It is a super-2 number, since 2×212167011602 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21216701161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41206 + ... + 210074.

Almost surely, 221216701160 is an apocalyptic number.

21216701160 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 21216701160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34576132500).

21216701160 is an abundant number, since it is smaller than the sum of its proper divisors (47935563840).

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

21216701160 is a wasteful number, since it uses less digits than its factorization.

21216701160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169235 (or 169228 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

It can be divided in two parts, 2121670 and 1160, that added together give a triangular number (2122830 = T2060).

The spelling of 21216701160 in words is "twenty-one billion, two hundred sixteen million, seven hundred one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 349 360 698 1047 1396 1745 2094 2792 3141 3490 4188 5235 6282 6980 8376 10470 12564 13960 15705 20940 25128 31410 41880 62820 125640 168869 337738 506607 675476 844345 1013214 1350952 1519821 1688690 2026428 2533035 3039642 3377380 4052856 5066070 6079284 6754760 7599105 10132140 12158568 15198210 20264280 30396420 58935281 60792840 117870562 176805843 235741124 294676405 353611686 471482248 530417529 589352810 707223372 884029215 1060835058 1178705620 1414446744 1768058430 2121670116 2357411240 2652087645 3536116860 4243340232 5304175290 7072233720 10608350580 21216701160