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101121210 = 2345127983
BaseRepresentation
bin1100000011011…
…11110010111010
321001021111020000
412001233302322
5201341334320
614011213430
72335342011
oct601576272
9231244200
10101121210
1152097953
1229a47276
1317c46c48
14d603a78
158d26c90
hex606fcba

101121210 has 80 divisors (see below), whose sum is σ = 274323456. Its totient is φ = 26726112.

The previous prime is 101121203. The next prime is 101121247. The reversal of 101121210 is 12121101.

It is a happy number.

It is a super-2 number, since 2×1011212102 = 20450998223728200, which contains 22 as substring.

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 = 101121192 and 101121201.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 102379 + ... + 103361.

Almost surely, 2101121210 is an apocalyptic number.

101121210 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 101121210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137161728).

101121210 is an abundant number, since it is smaller than the sum of its proper divisors (173202246).

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

101121210 is a wasteful number, since it uses less digits than its factorization.

101121210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1120 counting only the distinct ones).

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

The square root of 101121210 is about 10055.9042358209. The cubic root of 101121210 is about 465.8871720556.

Adding to 101121210 its reverse (12121101), we get a palindrome (113242311).

The spelling of 101121210 in words is "one hundred one million, one hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 127 135 162 254 270 381 405 635 762 810 983 1143 1270 1905 1966 2286 2949 3429 3810 4915 5715 5898 6858 8847 9830 10287 11430 14745 17145 17694 20574 26541 29490 34290 44235 51435 53082 79623 88470 102870 124841 132705 159246 249682 265410 374523 398115 624205 749046 796230 1123569 1248410 1872615 2247138 3370707 3745230 5617845 6741414 10112121 11235690 16853535 20224242 33707070 50560605 101121210