Search a number
-
+
100630054500 = 22353160141903
BaseRepresentation
bin101110110111000000…
…1001100011001100100
3100121202002012102112120
41131232001030121210
53122042243221000
6114121231145540
710161464231043
oct1355601143144
9317662172476
10100630054500
113974a0513a8
12176049752b0
1396491cc061
144c289cc55a
15293e6e26a0
hex176e04c664

100630054500 has 96 divisors (see below), whose sum is σ = 293224748544. Its totient is φ = 26817280000.

The previous prime is 100630054489. The next prime is 100630054501. The reversal of 100630054500 is 5450036001.

100630054500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (100630054501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2380549 + ... + 2422451.

It is an arithmetic number, because the mean of its divisors is an integer number (3054424464).

Almost surely, 2100630054500 is an apocalyptic number.

100630054500 is a gapful number since it is divisible by the number (10) 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 100630054500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146612374272).

100630054500 is an abundant number, since it is smaller than the sum of its proper divisors (192594694044).

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

100630054500 is a wasteful number, since it uses less digits than its factorization.

100630054500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43526 (or 43514 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The spelling of 100630054500 in words is "one hundred billion, six hundred thirty million, fifty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1500 1601 3202 4803 6404 8005 9606 16010 19212 24015 32020 40025 41903 48030 80050 83806 96060 120075 125709 160100 167612 200125 209515 240150 251418 400250 419030 480300 502836 600375 628545 800500 838060 1047575 1200750 1257090 2095150 2401500 2514180 3142725 4190300 5237875 6285450 10475750 12570900 15713625 20951500 31427250 62854500 67086703 134173406 201260109 268346812 335433515 402520218 670867030 805040436 1006300545 1341734060 1677167575 2012601090 3354335150 4025202180 5031502725 6708670300 8385837875 10063005450 16771675750 20126010900 25157513625 33543351500 50315027250 100630054500