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21211211010 = 2351141238237
BaseRepresentation
bin10011110000010010…
…010110010100000010
32000202020122011101210
4103300102112110002
5321420032223020
613424433510550
71350430214223
oct236022262402
960666564353
1021211211010
118aa51a2860
12413b712456
1320005c5c42
1410530d324a
1584226d3e0
hex4f0496502

21211211010 has 96 divisors (see below), whose sum is σ = 56923839936. Its totient is φ = 5016563200.

The previous prime is 21211210973. The next prime is 21211211017. The reversal of 21211211010 is 1011211212.

It is not an unprimeable number, because it can be changed into a prime (21211211017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 535612 + ... + 573848.

It is an arithmetic number, because the mean of its divisors is an integer number (592956666).

Almost surely, 221211211010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21211211010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28461919968).

21211211010 is an abundant number, since it is smaller than the sum of its proper divisors (35712628926).

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

21211211010 is a wasteful number, since it uses less digits than its factorization.

21211211010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38340 (or 38299 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21211211010 its reverse (1011211212), we get a palindrome (22222422222).

It can be divided in two parts, 21211 and 211010, that added together give a triangular number (232221 = T681).

The spelling of 21211211010 in words is "twenty-one billion, two hundred eleven million, two hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 66 82 110 123 165 205 246 330 410 451 615 902 1230 1353 1681 2255 2706 3362 4510 5043 6765 8405 10086 13530 16810 18491 25215 36982 38237 50430 55473 76474 92455 110946 114711 184910 191185 229422 277365 382370 420607 554730 573555 841214 1147110 1261821 1567717 2103035 2523642 3135434 4206070 4703151 6309105 7838585 9406302 12618210 15677170 17244887 23515755 34489774 47031510 51734661 64276397 86224435 103469322 128552794 172448870 192829191 258673305 321381985 385658382 517346610 642763970 707040367 964145955 1414080734 1928291910 2121121101 3535201835 4242242202 7070403670 10605605505 21211211010