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10304313120 = 2532512235851
BaseRepresentation
bin10011001100010111…
…10101011100100000
3222121010101100020200
421212023311130200
5132100401004440
64422253105200
7513231134133
oct114613653440
928533340220
1010304313120
114408574a62
121bb6a88200
13c82a684ca
146da73a21a
1540496ec30
hex2662f5720

10304313120 has 144 divisors (see below), whose sum is σ = 35198235072. Its totient is φ = 2745100800.

The previous prime is 10304313119. The next prime is 10304313121. The reversal of 10304313120 is 2131340301.

It is an interprime number because it is at equal distance from previous prime (10304313119) and next prime (10304313121).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10304313093 and 10304313102.

It is not an unprimeable number, because it can be changed into a prime (10304313121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1758195 + ... + 1764045.

It is an arithmetic number, because the mean of its divisors is an integer number (244432188).

Almost surely, 210304313120 is an apocalyptic number.

10304313120 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 10304313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17599117536).

10304313120 is an abundant number, since it is smaller than the sum of its proper divisors (24893921952).

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

10304313120 is a wasteful number, since it uses less digits than its factorization.

10304313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7095 (or 7084 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10304313120 its reverse (2131340301), we get a palindrome (12435653421).

The spelling of 10304313120 in words is "ten billion, three hundred four million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1223 1440 2446 3669 4892 5851 6115 7338 9784 11007 11702 12230 14676 17553 18345 19568 22014 23404 24460 29255 29352 35106 36690 39136 44028 46808 48920 52659 55035 58510 58704 70212 73380 87765 88056 93616 97840 105318 110070 117020 117408 140424 146760 175530 176112 187232 195680 210636 220140 234040 263295 280848 293520 351060 352224 421272 440280 468080 526590 561696 587040 702120 842544 880560 936160 1053180 1404240 1685088 1761120 2106360 2808480 4212720 7155773 8425440 14311546 21467319 28623092 35778865 42934638 57246184 64401957 71557730 85869276 107336595 114492368 128803914 143115460 171738552 214673190 228984736 257607828 286230920 322009785 343477104 429346380 515215656 572461840 644019570 686954208 858692760 1030431312 1144923680 1288039140 1717385520 2060862624 2576078280 3434771040 5152156560 10304313120