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100000101200 = 2452733424661
BaseRepresentation
bin101110100100001111…
…0000111001101010000
3100120010011211111001212
41131020132013031100
53114300011214300
6113534525115252
710140044556356
oct1351036071520
9316104744055
10100000101200
11394564a513a
12174699b8b28
13957884681c
144ba90897d6
152904259935
hex1748787350

100000101200 has 60 divisors (see below), whose sum is σ = 243541413468. Its totient is φ = 39452083200.

The previous prime is 100000101197. The next prime is 100000101203. The reversal of 100000101200 is 2101000001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100000101197) and next prime (100000101203).

It can be written as a sum of positive squares in 6 ways, for example, as 1670193424 + 98329907776 = 40868^2 + 313576^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000101203) 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 11 ways as a sum of consecutive naturals, for example, 1683131 + ... + 1741530.

Almost surely, 2100000101200 is an apocalyptic number.

100000101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100000101200 is an abundant number, since it is smaller than the sum of its proper divisors (143541312268).

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

100000101200 is a wasteful number, since it uses less digits than its factorization.

100000101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424752 (or 3424741 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 100000101200 its reverse (2101000001), we get a palindrome (102101101201).

The spelling of 100000101200 in words is "one hundred billion, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 146 200 292 365 400 584 730 1168 1460 1825 2920 3650 5840 7300 14600 29200 3424661 6849322 13698644 17123305 27397288 34246610 54794576 68493220 85616525 136986440 171233050 250000253 273972880 342466100 500000506 684932200 1000001012 1250001265 1369864400 2000002024 2500002530 4000004048 5000005060 6250006325 10000010120 12500012650 20000020240 25000025300 50000050600 100000101200