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100100011056 = 2434146750291
BaseRepresentation
bin101110100111001101…
…1001111010000110000
3100120101010211102121220
41131032123033100300
53120001100323211
6113552454345040
710142400024633
oct1351633172060
9316333742556
10100100011056
11394a7934971
121749735b180
139593458296
144bb8455c1a
15290cde2806
hex174e6cf430

100100011056 has 40 divisors (see below), whose sum is σ = 258603073344. Its totient is φ = 33365202240.

The previous prime is 100100011021. The next prime is 100100011057. The reversal of 100100011056 is 650110001001.

It is a super-2 number, since 2×1001000110562 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100100011057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1965271 + ... + 2015561.

Almost surely, 2100100011056 is an apocalyptic number.

100100011056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100100011056 is an abundant number, since it is smaller than the sum of its proper divisors (158503062288).

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

100100011056 is a wasteful number, since it uses less digits than its factorization.

100100011056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91769 (or 91763 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 100100011056 its reverse (650110001001), we get a palindrome (750210012057).

The spelling of 100100011056 in words is "one hundred billion, one hundred million, eleven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 41467 50291 82934 100582 124401 150873 165868 201164 248802 301746 331736 402328 497604 603492 663472 804656 995208 1206984 1990416 2413968 2085416897 4170833794 6256250691 8341667588 12512501382 16683335176 25025002764 33366670352 50050005528 100100011056