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1006471221 = 37271731321
BaseRepresentation
bin111011111111011…
…000100000110101
32121010212000221220
4323333120200311
54030124034341
6243512100553
733640602300
oct7377304065
92533760856
101006471221
114771437a8
12241094759
13130694802
1497953b37
155d55da66
hex3bfd8835

1006471221 has 48 divisors (see below), whose sum is σ = 1605944448. Its totient is φ = 558835200.

The previous prime is 1006471217. The next prime is 1006471223. The reversal of 1006471221 is 1221746001.

It is not a de Polignac number, because 1006471221 - 22 = 1006471217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1006471191 and 1006471200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006471223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 761241 + ... + 762561.

It is an arithmetic number, because the mean of its divisors is an integer number (33457176).

Almost surely, 21006471221 is an apocalyptic number.

It is an amenable number.

1006471221 is a deficient number, since it is larger than the sum of its proper divisors (599473227).

1006471221 is a wasteful number, since it uses less digits than its factorization.

1006471221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1006471221 is about 31724.9305909406. The cubic root of 1006471221 is about 1002.1524373560.

The spelling of 1006471221 in words is "one billion, six million, four hundred seventy-one thousand, two hundred twenty-one".

Divisors: 1 3 7 21 49 71 73 147 213 219 497 511 1321 1491 1533 3479 3577 3963 5183 9247 10437 10731 15549 27741 36281 64729 93791 96433 108843 194187 253967 281373 289299 656537 675031 761901 1969611 2025093 4595759 4725217 6846743 13787277 14175651 20540229 47927201 143781603 335490407 1006471221