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101213390352 = 24310725217817
BaseRepresentation
bin101111001000011001…
…0011100011000010000
3100200020201211221220010
41132100302130120100
53124241111442402
6114255150114520
710212106423464
oct1362062343020
9320221757803
10101213390352
1139a19358248
12177481aba40
1397100119b9
144c822784a4
152975a1ca6c
hex1790c9c610

101213390352 has 80 divisors (see below), whose sum is σ = 264050010432. Its totient is φ = 33404958720.

The previous prime is 101213390321. The next prime is 101213390353. The reversal of 101213390352 is 253093312101.

It is not an unprimeable number, because it can be changed into a prime (101213390353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12943948 + ... + 12951764.

Almost surely, 2101213390352 is an apocalyptic number.

101213390352 is a gapful number since it is divisible by the number (12) 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 101213390352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132025005216).

101213390352 is an abundant number, since it is smaller than the sum of its proper divisors (162836620080).

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

101213390352 is a wasteful number, since it uses less digits than its factorization.

101213390352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10456 (or 10450 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The spelling of 101213390352 in words is "one hundred one billion, two hundred thirteen million, three hundred ninety thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 856 1284 1712 2521 2568 5042 5136 7563 7817 10084 15126 15634 20168 23451 30252 31268 40336 46902 60504 62536 93804 121008 125072 187608 269747 375216 539494 809241 836419 1078988 1618482 1672838 2157976 2509257 3236964 3345676 4315952 5018514 6473928 6691352 10037028 12947856 13382704 19706657 20074056 39413314 40148112 59119971 78826628 118239942 157653256 236479884 315306512 472959768 945919536 2108612299 4217224598 6325836897 8434449196 12651673794 16868898392 25303347588 33737796784 50606695176 101213390352