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103120200304 = 241129891371657
BaseRepresentation
bin110000000001001110…
…0010110001001110000
3100212011121211221101221
41200002130112021300
53142142232402204
6115212303434424
710310262145252
oct1400234261160
9325147757357
10103120200304
113a807734840
1217b9a8b5a14
13995508b104
144dc35d5cd2
152a38123654
hex1802716270

103120200304 has 160 divisors (see below), whose sum is σ = 229810737600. Its totient is φ = 44394577920.

The previous prime is 103120200257. The next prime is 103120200361. The reversal of 103120200304 is 403002021301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62232244 + ... + 62233900.

It is an arithmetic number, because the mean of its divisors is an integer number (1436317110).

Almost surely, 2103120200304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103120200304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114905368800).

103120200304 is an abundant number, since it is smaller than the sum of its proper divisors (126690537296).

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

103120200304 is a wasteful number, since it uses less digits than its factorization.

103120200304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 103120200304 its reverse (403002021301), we get a palindrome (506122221605).

The spelling of 103120200304 in words is "one hundred three billion, one hundred twenty million, two hundred thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 89 116 137 176 178 232 274 319 356 464 548 638 712 979 1096 1276 1424 1507 1657 1958 2192 2552 2581 3014 3314 3916 3973 5104 5162 6028 6628 7832 7946 10324 12056 12193 13256 15664 15892 18227 20648 24112 24386 26512 28391 31784 36454 41296 43703 48053 48772 56782 63568 72908 87406 96106 97544 113564 134123 145816 147473 174812 192212 195088 227009 227128 268246 291632 294946 349624 353597 384424 454018 454256 528583 536492 589892 699248 707194 768848 908036 1057166 1072984 1179784 1414388 1622203 1816072 2114332 2145968 2359568 2497099 2828776 3244406 3632144 3889567 4228664 4276717 4994198 5657552 6488812 6583261 7779134 8457328 8553434 9988396 12977624 13166522 15558268 17106868 19976792 20203801 25955248 26333044 31116536 34213736 39953584 40407602 47043887 52666088 62233072 68427472 72415871 80815204 94087774 105332176 144831742 161630408 188175548 222241811 289663484 323260816 376351096 444483622 579326968 585910229 752702192 888967244 1158653936 1171820458 1777934488 2343640916 3555868976 4687281832 6445012519 9374563664 12890025038 25780050076 51560100152 103120200304