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202031301212312 = 2311132919333314989
BaseRepresentation
bin101101111011111100010011…
…111100010011100010011000
3222111100000002202020020122012
4231323330103330103202120
5202440040101102243222
61553403522024045052
760361164660611405
oct5573742374234230
9874300082206565
10202031301212312
1159411aa2653240
121a7ab02a003788
138896615659050
1437c651d6772ac
1518554700251e2
hexb7bf13f13898

202031301212312 has 128 divisors (see below), whose sum is σ = 460405259496000. Its totient is φ = 81840837335040.

The previous prime is 202031301212309. The next prime is 202031301212329. The reversal of 202031301212312 is 213212103130202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 641234114 + ... + 641549102.

Almost surely, 2202031301212312 is an apocalyptic number.

202031301212312 is a gapful number since it is divisible by the number (22) 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 202031301212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230202629748000).

202031301212312 is an abundant number, since it is smaller than the sum of its proper divisors (258373958283688).

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

202031301212312 is a wasteful number, since it uses less digits than its factorization.

202031301212312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334381 (or 334377 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 202031301212312 its reverse (213212103130202), we get a palindrome (415243404342514).

The spelling of 202031301212312 in words is "two hundred two trillion, thirty-one billion, three hundred one million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 22 26 29 44 52 58 88 104 116 143 232 286 319 377 572 638 754 1144 1276 1508 2552 3016 4147 8294 16588 19333 33176 38666 77332 154664 212663 251329 314989 425326 502658 560657 629978 850652 1005316 1121314 1259956 1701304 2010632 2242628 2519912 2764619 3464879 4094857 4485256 5529238 6167227 6929758 7288541 8189714 9134681 11058476 12334454 13859516 14577082 16379428 18269362 22116952 24668908 27719032 29154164 32758856 36538724 45043427 49337816 58308328 73077448 80173951 90086854 100481491 118750853 160347902 180173708 200962982 237501706 320695804 360347416 401925964 475003412 641391608 803851928 950006824 1306259383 2612518766 5225037532 6089682337 10450075064 12179364674 24358729348 48717458696 66986505707 79165870381 133973011414 158331740762 176600787773 267946022828 316663481524 353201575546 535892045656 633326963048 706403151092 870824574191 1412806302184 1741649148382 1942608665503 2295810241049 3483298296764 3885217331006 4591620482098 6966596593528 7770434662012 9183240964196 15540869324024 18366481928392 25253912651539 50507825303078 101015650606156 202031301212312