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10203330313020 = 22351329811102563
BaseRepresentation
bin1001010001111010010111…
…1000001111101100111100
31100010102120122002100221110
42110132211320033230330
52314132410030004040
633411202323202020
72102111015444565
oct224364570175474
940112518070843
1010203330313020
113284231a63729
121189582816310
13590229411300
14273bb563b16c
1512a62a956980
hex947a5e0fb3c

10203330313020 has 144 divisors (see below), whose sum is σ = 30939469368192. Its totient is φ = 2511308517120.

The previous prime is 10203330312997. The next prime is 10203330313021. The reversal of 10203330313020 is 2031303330201.

It is a super-2 number, since 2×102033303130202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10203330313021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99432259 + ... + 99534821.

It is an arithmetic number, because the mean of its divisors is an integer number (214857426168).

Almost surely, 210203330313020 is an apocalyptic number.

10203330313020 is a gapful number since it is divisible by the number (10) 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 10203330313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15469734684096).

10203330313020 is an abundant number, since it is smaller than the sum of its proper divisors (20736139055172).

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

10203330313020 is a wasteful number, since it uses less digits than its factorization.

10203330313020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112412 (or 112397 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 10203330313020 its reverse (2031303330201), we get a palindrome (12234633643221).

The spelling of 10203330313020 in words is "ten trillion, two hundred three billion, three hundred thirty million, three hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2535 3380 5070 9811 10140 19622 29433 39244 49055 58866 98110 102563 117732 127543 147165 196220 205126 255086 294330 307689 382629 410252 510172 512815 588660 615378 637715 765258 1025630 1230756 1275430 1333319 1530516 1538445 1658059 1913145 2051260 2550860 2666638 3076890 3316118 3826290 3999957 4974177 5333276 6153780 6632236 6666595 7652580 7999914 8290295 9948354 13333190 15999828 16580590 17333147 19896708 19999785 24870885 26666380 33161180 34666294 39999570 49741770 51999441 69332588 79999140 86665735 99483540 103998882 173331470 207997764 259997205 346662940 519994410 1006245593 1039988820 2012491186 3018736779 4024982372 5031227965 6037473558 10062455930 12074947116 13081192709 15093683895 20124911860 26162385418 30187367790 39243578127 52324770836 60374735580 65405963545 78487156254 130811927090 156974312508 170055505217 196217890635 261623854180 340111010434 392435781270 510166515651 680222020868 784871562540 850277526085 1020333031302 1700555052170 2040666062604 2550832578255 3401110104340 5101665156510 10203330313020