Search a number
-
+
103300033231032 = 233116774691123209
BaseRepresentation
bin10111011111001101101001…
…110010010011100010111000
3111112202101102221001010212220
4113133031221302103202320
5102014431432001343112
61003411214035404040
730521116056605331
oct2737155162234270
9445671387033786
10103300033231032
112aa07330807110
12b7042a4153620
1345841c763b281
141b71a6941b288
15be210e58898c
hex5df369c938b8

103300033231032 has 128 divisors (see below), whose sum is σ = 282205940371200. Its totient is φ = 31249885721600.

The previous prime is 103300033230971. The next prime is 103300033231033. The reversal of 103300033231032 is 230132330003301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 103300033230993 and 103300033231011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103300033231033) 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, 838351444 + ... + 838474652.

It is an arithmetic number, because the mean of its divisors is an integer number (2204733909150).

Almost surely, 2103300033231032 is an apocalyptic number.

103300033231032 is a gapful number since it is divisible by the number (12) 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 103300033231032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141102970185600).

103300033231032 is an abundant number, since it is smaller than the sum of its proper divisors (178905907140168).

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

103300033231032 is a wasteful number, since it uses less digits than its factorization.

103300033231032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128597 (or 128593 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 103300033231032 its reverse (230132330003301), we get a palindrome (333432363234333).

The spelling of 103300033231032 in words is "one hundred three trillion, three hundred billion, thirty-three million, two hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 677 1354 2031 2708 4062 4691 5416 7447 8124 9382 14073 14894 16248 18764 22341 28146 29788 37528 44682 51601 56292 59576 89364 103202 112584 123209 154803 178728 206404 246418 309606 369627 412808 492836 619212 739254 985672 1238424 1355299 1478508 2710598 2957016 3175807 4065897 5421196 6351614 8131794 9527421 10842392 12703228 16263588 19054842 25406456 32527176 34933877 38109684 69867754 76219368 83412493 104801631 139735508 166824986 209603262 250237479 279471016 333649972 419206524 500474958 577973419 667299944 838413048 917537423 1000949916 1155946838 1733920257 1835074846 2001899832 2311893676 2752612269 3467840514 3670149692 4623787352 5505224538 6357707609 6935681028 7340299384 11010449076 12715415218 13871362056 19073122827 22020898152 25430830436 38146245654 50861660872 76292491308 152584982616 391288004663 782576009326 1173864013989 1565152018652 2347728027978 3130304037304 4304168051293 4695456055956 8608336102586 9390912111912 12912504153879 17216672205172 25825008307758 34433344410344 51650016615516 103300033231032