Search a number
-
+
100214511300 = 223252111349457
BaseRepresentation
bin101110101010101000…
…0000001011011000100
3100120200010021122102200
41131111100001123010
53120214403330200
6114012104434500
710145260201611
oct1352520013304
9316603248380
10100214511300
113955652a672
1217509778a30
1395b10a7ac7
144bc973d508
152917ead800
hex17554016c4

100214511300 has 54 divisors (see below), whose sum is σ = 314116821018. Its totient is φ = 26723869440.

The previous prime is 100214511289. The next prime is 100214511311. The reversal of 100214511300 is 3115412001.

100214511300 is a `hidden beast` number, since 100 + 21 + 4 + 511 + 30 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (100214511289) and next prime (100214511311).

It can be written as a sum of positive squares in 3 ways, for example, as 1958593536 + 98255917764 = 44256^2 + 313458^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55673829 + ... + 55675628.

It is an arithmetic number, because the mean of its divisors is an integer number (5816978167).

Almost surely, 2100214511300 is an apocalyptic number.

100214511300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100214511300 is an abundant number, since it is smaller than the sum of its proper divisors (213902309718).

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

100214511300 is a wasteful number, since it uses less digits than its factorization.

100214511300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111349477 (or 111349467 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 100214511300 its reverse (3115412001), we get a palindrome (103329923301).

The spelling of 100214511300 in words is "one hundred billion, two hundred fourteen million, five hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 111349457 222698914 334048371 445397828 556747285 668096742 1002145113 1113494570 1336193484 1670241855 2004290226 2226989140 2783736425 3340483710 4008580452 5010725565 5567472850 6680967420 8351209275 10021451130 11134945700 16702418550 20042902260 25053627825 33404837100 50107255650 100214511300