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101250424116 = 2235797130699
BaseRepresentation
bin101111001001011111…
…1101101110100110100
3100200100022112110200000
41132102333231310310
53124330102032431
6114302551551300
710213036255602
oct1362277556464
9320308473600
10101250424116
1139a38252266
121775868b530
1397178aa37a
144c87158872
152978dd59e6
hex1792fedd34

101250424116 has 72 divisors (see below), whose sum is σ = 265752832800. Its totient is φ = 33707536992.

The previous prime is 101250424031. The next prime is 101250424127. The reversal of 101250424116 is 611424052101.

101250424116 is a `hidden beast` number, since 1 + 0 + 125 + 0 + 424 + 116 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 101250424116.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709335 + ... + 840033.

Almost surely, 2101250424116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101250424116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132876416400).

101250424116 is an abundant number, since it is smaller than the sum of its proper divisors (164502408684).

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

101250424116 is a wasteful number, since it uses less digits than its factorization.

101250424116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131515 (or 131501 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 101250424116 its reverse (611424052101), we get a palindrome (712674476217).

The spelling of 101250424116 in words is "one hundred one billion, two hundred fifty million, four hundred twenty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 797 972 1594 2391 3188 4782 7173 9564 14346 21519 28692 43038 64557 86076 129114 130699 193671 258228 261398 387342 392097 522796 774684 784194 1176291 1568388 2352582 3528873 4705164 7057746 10586619 14115492 21173238 31759857 42346476 63519714 104167103 127039428 208334206 312501309 416668412 625002618 937503927 1250005236 1875007854 2812511781 3750015708 5625023562 8437535343 11250047124 16875070686 25312606029 33750141372 50625212058 101250424116