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21210320032 = 25113117910859
BaseRepresentation
bin10011110000001110…
…111100110010100000
32000202011221220012121
4103300032330302200
5321414320220112
613424402434024
71350416513506
oct236016746240
960664856177
1021210320032
118aa4744410
12413b362914
132000373535
141052d40676
15842144407
hex4f03bcca0

21210320032 has 96 divisors (see below), whose sum is σ = 47290521600. Its totient is φ = 9277075200.

The previous prime is 21210320029. The next prime is 21210320081. The reversal of 21210320032 is 23002301212.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 21210319988 and 21210320015.

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, 1947819 + ... + 1958677.

It is an arithmetic number, because the mean of its divisors is an integer number (492609600).

Almost surely, 221210320032 is an apocalyptic number.

21210320032 is a gapful number since it is divisible by the number (22) 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 21210320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23645260800).

21210320032 is an abundant number, since it is smaller than the sum of its proper divisors (26080201568).

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

21210320032 is a wasteful number, since it uses less digits than its factorization.

21210320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11090 (or 11082 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 21210320032 its reverse (23002301212), we get a palindrome (44212621244).

The spelling of 21210320032 in words is "twenty-one billion, two hundred ten million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 179 248 341 352 358 496 682 716 992 1364 1432 1969 2728 2864 3938 5456 5549 5728 7876 10859 10912 11098 15752 21718 22196 31504 43436 44392 61039 63008 86872 88784 119449 122078 173744 177568 238898 244156 336629 347488 477796 488312 673258 955592 976624 1346516 1911184 1943761 1953248 2693032 3702919 3822368 3887522 5386064 7405838 7775044 10772128 14811676 15550088 21381371 29623352 31100176 42762742 59246704 60256591 62200352 85525484 118493408 120513182 171050968 241026364 342101936 482052728 662822501 684203872 964105456 1325645002 1928210912 2651290004 5302580008 10605160016 21210320032