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20000123203000 = 235341646975407
BaseRepresentation
bin1001000110000101001000…
…01111010010110110111000
32121210222210222021212101211
410203002210033102312320
510110140223014444000
6110311532454452504
74132650461153203
oct443024417226670
977728728255354
1020000123203000
1164110061672a6
1222b01a8964134
13b2100798c815
144d202276c93a
1524a3b0ac07ba
hex1230a43d2db8

20000123203000 has 128 divisors (see below), whose sum is σ = 47949805612800. Its totient is φ = 7803616128000.

The previous prime is 20000123202929. The next prime is 20000123203009. The reversal of 20000123203000 is 30232100002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20000123203009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265191297 + ... + 265266703.

It is an arithmetic number, because the mean of its divisors is an integer number (374607856350).

Almost surely, 220000123203000 is an apocalyptic number.

20000123203000 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 20000123203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23974902806400).

20000123203000 is an abundant number, since it is smaller than the sum of its proper divisors (27949682409800).

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

20000123203000 is a wasteful number, since it uses less digits than its factorization.

20000123203000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81938 (or 81924 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 20000123203000 its reverse (30232100002), we get a palindrome (20030355303002).

The spelling of 20000123203000 in words is "twenty trillion, one hundred twenty-three million, two hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 820 1000 1025 1640 2050 4100 5125 6469 8200 10250 12938 20500 25876 32345 41000 51752 64690 75407 129380 150814 161725 258760 265229 301628 323450 377035 530458 603256 646900 754070 808625 1060916 1293800 1326145 1508140 1617250 1885175 2121832 2652290 3016280 3091687 3234500 3770350 5304580 6183374 6469000 6630725 7540700 9425875 10609160 12366748 13261450 15081400 15458435 18851750 24733496 26522900 30916870 33153625 37703500 53045800 61833740 66307250 75407000 77292175 123667480 132614500 154584350 265229000 309168700 386460875 487807883 618337400 772921750 975615766 1545843500 1951231532 2439039415 3091687000 3902463064 4878078830 9756157660 12195197075 19512315320 20000123203 24390394150 40000246406 48780788300 60975985375 80000492812 97561576600 100000616015 121951970750 160000985624 200001232030 243903941500 400002464060 487807883000 500003080075 800004928120 1000006160150 2000012320300 2500015400375 4000024640600 5000030800750 10000061601500 20000123203000