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1012020210 = 23354438461
BaseRepresentation
bin111100010100100…
…011001111110010
32121112021221202000
4330110203033302
54033034121320
6244231034430
734036013145
oct7424431762
92545257660
101012020210
1147a293843
12242b0ba16
13131888436
149859a05c
155dca7c90
hex3c5233f2

1012020210 has 64 divisors (see below), whose sum is σ = 2705132160. Its totient is φ = 269231040.

The previous prime is 1012020209. The next prime is 1012020223. The reversal of 1012020210 is 120202101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1012020192 and 1012020201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115380 + ... + 123840.

It is an arithmetic number, because the mean of its divisors is an integer number (42267690).

Almost surely, 21012020210 is an apocalyptic number.

1012020210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012020210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352566080).

1012020210 is an abundant number, since it is smaller than the sum of its proper divisors (1693111950).

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

1012020210 is a wasteful number, since it uses less digits than its factorization.

1012020210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8920 (or 8914 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1012020210 is about 31812.2650875413. The cubic root of 1012020210 is about 1003.9907890829.

Adding to 1012020210 its reverse (120202101), we get a palindrome (1132222311).

The spelling of 1012020210 in words is "one billion, twelve million, twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 443 886 1329 2215 2658 3987 4430 6645 7974 8461 11961 13290 16922 19935 23922 25383 39870 42305 50766 59805 76149 84610 119610 126915 152298 228447 253830 380745 456894 761490 1142235 2284470 3748223 7496446 11244669 18741115 22489338 33734007 37482230 56223345 67468014 101202021 112446690 168670035 202404042 337340070 506010105 1012020210