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103211212240 = 24541228713759
BaseRepresentation
bin110000000011111011…
…1100001110111010000
3100212101222002211022101
41200013313201313100
53142334032242430
6115225314250144
710312445554213
oct1400767416720
9325358084271
10103211212240
113a854047414
1218005286954
13996aba5826
144dd172777a
152a410eedca
hex1807de1dd0

103211212240 has 80 divisors (see below), whose sum is σ = 245944258560. Its totient is φ = 40257008640.

The previous prime is 103211212129. The next prime is 103211212241. The reversal of 103211212240 is 42212112301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103211212241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7494481 + ... + 7508239.

It is an arithmetic number, because the mean of its divisors is an integer number (3074303232).

Almost surely, 2103211212240 is an apocalyptic number.

103211212240 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 103211212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122972129280).

103211212240 is an abundant number, since it is smaller than the sum of its proper divisors (142733046320).

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

103211212240 is a wasteful number, since it uses less digits than its factorization.

103211212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16100 (or 16094 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 103211212240 its reverse (42212112301), we get a palindrome (145423324541).

The spelling of 103211212240 in words is "one hundred three billion, two hundred eleven million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 2287 3280 4574 9148 11435 13759 18296 22870 27518 36592 45740 55036 68795 91480 93767 110072 137590 182960 187534 220144 275180 375068 468835 550360 564119 750136 937670 1100720 1128238 1500272 1875340 2256476 2820595 3750680 4512952 5641190 7501360 9025904 11282380 22564760 31466833 45129520 62933666 125867332 157334165 251734664 314668330 503469328 629336660 1258673320 1290140153 2517346640 2580280306 5160560612 6450700765 10321121224 12901401530 20642242448 25802803060 51605606120 103211212240