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243430012100 = 2252111973159553
BaseRepresentation
bin1110001010110110001…
…1110011010011000100
3212021100001111220001002
43202231203303103010
512442021040341400
6303455153552432
723405264651042
oct3425543632304
9767301456032
10243430012100
1194268994090
123b218275718
1319c55ba4ba2
14bad402d392
1564eb140ed5
hex38ad8f34c4

243430012100 has 144 divisors (see below), whose sum is σ = 614908351680. Its totient is φ = 82711756800.

The previous prime is 243430012097. The next prime is 243430012103. The reversal of 243430012100 is 1210034342.

243430012100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (243430012097) and next prime (243430012103).

It is a super-2 number, since 2×2434300121002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (243430012103) 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 47 ways as a sum of consecutive naturals, for example, 1445924 + ... + 1605476.

Almost surely, 2243430012100 is an apocalyptic number.

243430012100 is a gapful number since it is divisible by the number (20) 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 243430012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307454175840).

243430012100 is an abundant number, since it is smaller than the sum of its proper divisors (371478339580).

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

243430012100 is a wasteful number, since it uses less digits than its factorization.

243430012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159670 (or 159663 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 243430012100 its reverse (1210034342), we get a palindrome (244640046442).

The spelling of 243430012100 in words is "two hundred forty-three billion, four hundred thirty million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 73 76 95 100 110 146 190 209 220 275 292 365 380 418 475 550 730 803 836 950 1045 1100 1387 1460 1606 1825 1900 2090 2774 3212 3650 4015 4180 5225 5548 6935 7300 8030 10450 13870 15257 16060 20075 20900 27740 30514 34675 40150 61028 69350 76285 80300 138700 152570 159553 305140 319106 381425 638212 762850 797765 1525700 1595530 1755083 3031507 3191060 3510166 3988825 6063014 7020332 7977650 8775415 11647369 12126028 15157535 15955300 17550830 23294738 30315070 33346577 35101660 43877075 46589476 58236845 60630140 66693154 75787675 87754150 116473690 128121059 133386308 151575350 166732885 175508300 221300011 232947380 256242118 291184225 303150700 333465770 442600022 512484236 582368450 640605295 666931540 833664425 885200044 1106500055 1164736900 1281210590 1667328850 2213000110 2434300121 2562421180 3203026475 3334657700 4426000220 4868600242 5532500275 6406052950 9737200484 11065000550 12171500605 12812105900 22130001100 24343001210 48686002420 60857503025 121715006050 243430012100