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103302330233300 = 225211897691137197
BaseRepresentation
bin10111011111001111110010…
…101100101011000111010100
3111112202121101000020221121222
4113133033302230223013110
5102020001133014431200
61003412234012225512
730521230021033052
oct2737176254530724
9445677330227558
10103302330233300
112aa082aa36a9a0
12b70482546b298
1345844a24a3b03
141b71c065091d2
15be21e6066d85
hex5df3f2b2b1d4

103302330233300 has 144 divisors (see below), whose sum is σ = 247326439469760. Its totient is φ = 37137310848000.

The previous prime is 103302330233287. The next prime is 103302330233357. The reversal of 103302330233300 is 3332033203301.

It is a self number, because there is not a number n which added to its sum of digits gives 103302330233300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 752880302 + ... + 753017498.

It is an arithmetic number, because the mean of its divisors is an integer number (1717544718540).

Almost surely, 2103302330233300 is an apocalyptic number.

103302330233300 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 103302330233300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123663219734880).

103302330233300 is an abundant number, since it is smaller than the sum of its proper divisors (144024109236460).

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

103302330233300 is a wasteful number, since it uses less digits than its factorization.

103302330233300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145002 (or 144995 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 26.

Adding to 103302330233300 its reverse (3332033203301), we get a palindrome (106634363436601).

The spelling of 103302330233300 in words is "one hundred three trillion, three hundred two billion, three hundred thirty million, two hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 89 100 110 178 220 275 356 445 550 890 979 1100 1780 1958 2225 3916 4450 4895 7691 8900 9790 15382 19580 24475 30764 38455 48950 76910 84601 97900 137197 153820 169202 192275 274394 338404 384550 423005 548788 684499 685985 769100 846010 1368998 1371970 1509167 1692020 2115025 2737996 2743940 3018334 3422495 3429925 4230050 6036668 6844990 6859850 7529489 7545835 8460100 12210533 13689980 13719700 15058978 15091670 17112475 24421066 30117956 30183340 34224950 37647445 37729175 48842132 61052665 68449900 75294890 75458350 122105330 134315863 150589780 150916700 188237225 244210660 268631726 305263325 376474450 537263452 610526650 671579315 752948900 1055182127 1221053300 1343158630 2110364254 2686317260 3357896575 4220728508 5275910635 6715793150 10551821270 11607003397 13431586300 21103642540 23214006794 26379553175 46428013588 52759106350 58035016985 93911209303 105518212700 116070033970 187822418606 232140067940 290175084925 375644837212 469556046515 580350169850 939112093030 1033023302333 1160700339700 1878224186060 2066046604666 2347780232575 4132093209332 4695560465150 5165116511665 9391120930300 10330233023330 20660466046660 25825582558325 51651165116650 103302330233300