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20010243200 = 275240915289
BaseRepresentation
bin10010101000101101…
…000001010010000000
31220122112210200021112
4102220231001102000
5311440110240300
613105332542452
71305605155313
oct225055012200
956575720245
1020010243200
118539295982
123a65481a28
131b6b8530bc
14d7b7d097a
157c1ae0e35
hex4a8b41480

20010243200 has 96 divisors (see below), whose sum is σ = 49555654500. Its totient is φ = 7984005120.

The previous prime is 20010243173. The next prime is 20010243241. The reversal of 20010243200 is 234201002.

It can be written as a sum of positive squares in 6 ways, for example, as 13250772544 + 6759470656 = 115112^2 + 82216^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1301156 + ... + 1316444.

Almost surely, 220010243200 is an apocalyptic number.

20010243200 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 20010243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24777827250).

20010243200 is an abundant number, since it is smaller than the sum of its proper divisors (29545411300).

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

20010243200 is a wasteful number, since it uses less digits than its factorization.

20010243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15722 (or 15705 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 20010243200 its reverse (234201002), we get a palindrome (20244444202).

The spelling of 20010243200 in words is "twenty billion, ten million, two hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 409 640 800 818 1600 1636 2045 3200 3272 4090 6544 8180 10225 13088 15289 16360 20450 26176 30578 32720 40900 52352 61156 65440 76445 81800 122312 130880 152890 163600 244624 261760 305780 327200 382225 489248 611560 654400 764450 978496 1223120 1308800 1528900 1956992 2446240 3057800 4892480 6115600 6253201 9784960 12231200 12506402 24462400 25012804 31266005 48924800 50025608 62532010 100051216 125064020 156330025 200102432 250128040 312660050 400204864 500256080 625320100 800409728 1000512160 1250640200 2001024320 2501280400 4002048640 5002560800 10005121600 20010243200