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100362240030 = 235132411067797
BaseRepresentation
bin101110101111000001…
…1100100000000011110
3100121001102021001011010
41131132003210000132
53121020213140110
6114034503040050
710152032651613
oct1353603440036
9317042231133
10100362240030
1139621960428
121754b140026
13960588cc60
144c011d650a
152925e40020
hex175e0e401e

100362240030 has 64 divisors (see below), whose sum is σ = 260474372928. Its totient is φ = 24602019840.

The previous prime is 100362240029. The next prime is 100362240031. The reversal of 100362240030 is 30042263001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100362240029) and next prime (100362240031).

It is a junction number, because it is equal to n+sod(n) for n = 100362239979 and 100362240006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100362240031) 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, 439909 + ... + 627888.

It is an arithmetic number, because the mean of its divisors is an integer number (4069912077).

Almost surely, 2100362240030 is an apocalyptic number.

100362240030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100362240030 is an abundant number, since it is smaller than the sum of its proper divisors (160112132898).

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

100362240030 is a wasteful number, since it uses less digits than its factorization.

100362240030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068061.

The product of its (nonzero) digits is 864, while the sum is 21.

The spelling of 100362240030 in words is "one hundred billion, three hundred sixty-two million, two hundred forty thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 241 390 482 723 1205 1446 2410 3133 3615 6266 7230 9399 15665 18798 31330 46995 93990 1067797 2135594 3203391 5338985 6406782 10677970 13881361 16016955 27762722 32033910 41644083 69406805 83288166 138813610 208220415 257339077 416440830 514678154 772017231 1286695385 1544034462 2573390770 3345408001 3860086155 6690816002 7720172310 10036224003 16727040005 20072448006 33454080010 50181120015 100362240030