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101012274 = 232112341541
BaseRepresentation
bin1100000010101…
…01001100110010
321001001221210100
412001111030302
5201324343044
614005013230
72334406266
oct601251462
9231057710
10101012274
1152023020
12299b4216
1317c0949c
14d5b60a6
158d04869
hex6055332

101012274 has 96 divisors (see below), whose sum is σ = 255685248. Its totient is φ = 28512000.

The previous prime is 101012243. The next prime is 101012293. The reversal of 101012274 is 472210101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186444 + ... + 186984.

It is an arithmetic number, because the mean of its divisors is an integer number (2663388).

Almost surely, 2101012274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101012274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127842624).

101012274 is an abundant number, since it is smaller than the sum of its proper divisors (154672974).

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

101012274 is a wasteful number, since it uses less digits than its factorization.

101012274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 101012274 is about 10050.4862568932. The cubic root of 101012274 is about 465.7198147472.

Adding to 101012274 its reverse (472210101), we get a palindrome (573222375).

The spelling of 101012274 in words is "one hundred one million, twelve thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 23 33 41 46 66 69 82 99 123 138 198 207 246 253 369 414 451 506 541 738 759 902 943 1082 1353 1518 1623 1886 2277 2706 2829 3246 4059 4554 4869 5658 5951 8118 8487 9738 10373 11902 12443 16974 17853 20746 22181 24886 31119 35706 37329 44362 53559 62238 66543 74658 93357 107118 111987 133086 136873 186714 199629 223974 243991 273746 399258 410619 487982 510163 731973 821238 1020326 1231857 1463946 1530489 2195919 2463714 3060978 4391838 4591467 5611793 9182934 11223586 16835379 33670758 50506137 101012274