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10101120210 = 2325293899949
BaseRepresentation
bin10010110100001001…
…01101110011010010
3222001222001001222100
421122010231303102
5131141341321320
64350154021230
7505213051026
oct113204556322
928058031870
1010101120210
114313901135
121b5aa17816
13c4c933b0c
146bb766386
153e1bd4790
hex25a12dcd2

10101120210 has 96 divisors (see below), whose sum is σ = 27241110000. Its totient is φ = 2593801728.

The previous prime is 10101120203. The next prime is 10101120241. The reversal of 10101120210 is 1202110101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2622156849 + 7478963361 = 51207^2 + 86481^2 .

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 = 10101120192 and 10101120201.

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, 1010316 + ... + 1020264.

Almost surely, 210101120210 is an apocalyptic number.

10101120210 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 10101120210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13620555000).

10101120210 is an abundant number, since it is smaller than the sum of its proper divisors (17139989790).

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

10101120210 is a wasteful number, since it uses less digits than its factorization.

10101120210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10380 (or 10377 counting only the distinct ones).

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

Adding to 10101120210 its reverse (1202110101), we get a palindrome (11303230311).

The spelling of 10101120210 in words is "ten billion, one hundred one million, one hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 389 435 522 778 870 1167 1305 1945 2334 2610 3501 3890 5835 7002 9949 11281 11670 17505 19898 22562 29847 33843 35010 49745 56405 59694 67686 89541 99490 101529 112810 149235 169215 179082 203058 288521 298470 338430 447705 507645 577042 865563 895410 1015290 1442605 1731126 2596689 2885210 3870161 4327815 5193378 7740322 8655630 11610483 12983445 19350805 23220966 25966890 34831449 38701610 58052415 69662898 112234669 116104830 174157245 224469338 336704007 348314490 561173345 673408014 1010112021 1122346690 1683520035 2020224042 3367040070 5050560105 10101120210