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10211210010 = 23252911033547
BaseRepresentation
bin10011000001010001…
…01011001100011010
3222100122012012210100
421200220223030122
5131403032210020
64405125400230
7511020565401
oct114050531432
928318165710
1010211210010
11436aa64241
121b8b869076
13c6969b001
146cc222638
153eb6cda90
hex260a2b31a

10211210010 has 96 divisors (see below), whose sum is σ = 27497283840. Its totient is φ = 2625969024.

The previous prime is 10211210003. The next prime is 10211210027. The reversal of 10211210010 is 1001211201.

It is a happy number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10211209974 and 10211210001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2877057 + ... + 2880603.

It is an arithmetic number, because the mean of its divisors is an integer number (286430040).

Almost surely, 210211210010 is an apocalyptic number.

10211210010 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 10211210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13748641920).

10211210010 is an abundant number, since it is smaller than the sum of its proper divisors (17286073830).

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

10211210010 is a wasteful number, since it uses less digits than its factorization.

10211210010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4692 (or 4689 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10211210010 its reverse (1001211201), we get a palindrome (11212421211).

The spelling of 10211210010 in words is "ten billion, two hundred eleven million, two hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1103 1305 2206 2610 3309 3547 5515 6618 7094 9927 10641 11030 16545 17735 19854 21282 31923 31987 33090 35470 49635 53205 63846 63974 95961 99270 102863 106410 159615 159935 191922 205726 287883 308589 319230 319870 479805 514315 575766 617178 925767 959610 1028630 1439415 1542945 1851534 2878830 3085890 3912341 4628835 7824682 9257670 11737023 19561705 23474046 35211069 39123410 58685115 70422138 113457889 117370230 176055345 226915778 340373667 352110690 567289445 680747334 1021121001 1134578890 1701868335 2042242002 3403736670 5105605005 10211210010