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21010002020304 = 24311198093258779
BaseRepresentation
bin1001100011011110001011…
…01101010000011111010000
32202101112111011110012121020
410301233011231100133100
510223211441004122204
6112403510042355440
74265631302365653
oct461570555203720
982345434405536
1021010002020304
116770323457910
122433a671bbb80
13b953087c648b
14528c64bd189a
152667b9758bd9
hex131bc5b507d0

21010002020304 has 160 divisors (see below), whose sum is σ = 62334263923200. Its totient is φ = 6030810938880.

The previous prime is 21010002020251. The next prime is 21010002020309. The reversal of 21010002020304 is 40302020001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21010002020309) 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, 81059587 + ... + 81318365.

It is an arithmetic number, because the mean of its divisors is an integer number (389589149520).

Almost surely, 221010002020304 is an apocalyptic number.

21010002020304 is a gapful number since it is divisible by the number (24) 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 21010002020304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31167131961600).

21010002020304 is an abundant number, since it is smaller than the sum of its proper divisors (41324261902896).

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

21010002020304 is a wasteful number, since it uses less digits than its factorization.

21010002020304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266913 (or 266907 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 21010002020304 its reverse (40302020001012), we get a palindrome (61312022021316).

The spelling of 21010002020304 in words is "twenty-one trillion, ten billion, two million, twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1254 1672 2508 3344 5016 8093 10032 16186 24279 32372 48558 64744 89023 97116 129488 153767 178046 194232 258779 267069 307534 356092 388464 461301 517558 534138 615068 712184 776337 922602 1035116 1068276 1230136 1424368 1552674 1691437 1845204 2070232 2136552 2460272 2846569 3105348 3382874 3690408 4140464 4273104 4916801 5074311 5693138 6210696 6765748 7380816 8539707 9833602 10148622 11386276 12421392 13531496 14750403 17079414 19667204 20297244 22772552 27062992 29500806 34158828 39334408 40594488 45545104 54084811 59001612 68317656 78668816 81188976 108169622 118003224 136635312 162254433 216339244 236006448 324508866 432678488 649017732 865356976 1298035464 2094298447 2596070928 4188596894 6282895341 8377193788 12565790682 16754387576 23037282917 25131581364 33508775152 39791670493 46074565834 50263162728 69111848751 79583340986 92149131668 100526325456 119375011479 138223697502 159166681972 184298263336 238750022958 276447395004 318333363944 368596526672 437708375423 477500045916 552894790008 636666727888 875416750846 955000091832 1105789580016 1313125126269 1750833501692 1910000183664 2626250252538 3501667003384 5252500505076 7003334006768 10505001010152 21010002020304