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103132202320 = 24571313733769
BaseRepresentation
bin110000000001100101…
…0001000010101010000
3100212012110102201002001
41200003022020111100
53142203320433240
6115213413003344
710310466153460
oct1400312102520
9325173381061
10103132202320
113a813492064
1217ba2923554
139957700cb4
144dc503bba0
152a391e489a
hex1803288550

103132202320 has 160 divisors (see below), whose sum is σ = 276942631680. Its totient is φ = 34986332160.

The previous prime is 103132202317. The next prime is 103132202321. The reversal of 103132202320 is 23202231301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103132202321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27361396 + ... + 27365164.

It is an arithmetic number, because the mean of its divisors is an integer number (1730891448).

Almost surely, 2103132202320 is an apocalyptic number.

103132202320 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 103132202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138471315840).

103132202320 is an abundant number, since it is smaller than the sum of its proper divisors (173810429360).

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

103132202320 is a wasteful number, since it uses less digits than its factorization.

103132202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4293 (or 4287 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 103132202320 its reverse (23202231301), we get a palindrome (126334433621).

The spelling of 103132202320 in words is "one hundred three billion, one hundred thirty-two million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 131 140 262 280 373 524 560 655 746 917 1048 1310 1492 1834 1865 2096 2611 2620 2984 3668 3730 3769 4585 5222 5240 5968 7336 7460 7538 9170 10444 10480 13055 14672 14920 15076 18340 18845 20888 26110 26383 29840 30152 36680 37690 41776 48863 52220 52766 60304 73360 75380 97726 104440 105532 131915 150760 195452 208880 211064 244315 263830 301520 342041 390904 422128 488630 493739 527660 684082 781808 977260 987478 1055320 1368164 1405837 1710205 1954520 1974956 2110640 2468695 2736328 2811674 3420410 3456173 3909040 3949912 4937390 5472656 5623348 6840820 6912346 7029185 7899824 9840859 9874780 11246696 13681640 13824692 14058370 17280865 19681718 19749560 22493392 27363280 27649384 28116740 34561730 39363436 39499120 49204295 55298768 56233480 69123460 78726872 98408590 112466960 138246920 157453744 184164647 196817180 276493840 368329294 393634360 736658588 787268720 920823235 1289152529 1473317176 1841646470 2578305058 2946634352 3683292940 5156610116 6445762645 7366585880 10313220232 12891525290 14733171760 20626440464 25783050580 51566101160 103132202320