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101211404 = 2271719331
BaseRepresentation
bin1100000100001…
…01110100001100
321001110001221112
412002011310030
5201402231104
614013151152
72336165660
oct602056414
9231401845
10101211404
1152149698
1229a8b4b8
1317c79008
14d6288a0
158d4386e
hex6085d0c

101211404 has 96 divisors (see below), whose sum is σ = 233533440. Its totient is φ = 37428480.

The previous prime is 101211389. The next prime is 101211413. The reversal of 101211404 is 404112101.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 3264869 + ... + 3264899.

It is an arithmetic number, because the mean of its divisors is an integer number (2432640).

Almost surely, 2101211404 is an apocalyptic number.

101211404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101211404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116766720).

101211404 is an abundant number, since it is smaller than the sum of its proper divisors (132322036).

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

101211404 is a wasteful number, since it uses less digits than its factorization.

101211404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 101211404 is about 10060.3878652863. The cubic root of 101211404 is about 466.0256452820.

Adding to 101211404 its reverse (404112101), we get a palindrome (505323505).

The spelling of 101211404 in words is "one hundred one million, two hundred eleven thousand, four hundred four".

Divisors: 1 2 4 7 14 17 19 28 31 34 38 62 68 76 119 124 133 217 238 266 323 361 434 476 527 532 589 646 722 868 1054 1178 1292 1444 2108 2261 2356 2527 3689 4123 4522 5054 6137 6859 7378 8246 9044 10013 10108 11191 12274 13718 14756 16492 20026 22382 24548 27436 40052 42959 44764 48013 70091 78337 85918 96026 116603 140182 156674 171836 190247 192052 212629 233206 280364 313348 380494 425258 466412 760988 816221 850516 1331729 1488403 1632442 2663458 2976806 3264884 3614693 5326916 5953612 7229386 14458772 25302851 50605702 101211404