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103212313512 = 233711349160031
BaseRepresentation
bin110000000011111101…
…1101110101110101000
3100212102001011202222020
41200013323232232220
53142334323013022
6115225354024440
710312461122010
oct1400773565650
9325361152866
10103212313512
113a854729860
1218005718120
13996b19cb79
144dd1932c40
152a4126b35c
hex1807eeeba8

103212313512 has 128 divisors (see below), whose sum is σ = 322624512000. Its totient is φ = 26731411200.

The previous prime is 103212313507. The next prime is 103212313517. The reversal of 103212313512 is 215313212301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103212313507) and next prime (103212313517).

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

It is not an unprimeable number, because it can be changed into a prime (103212313517) 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, 564937 + ... + 724967.

It is an arithmetic number, because the mean of its divisors is an integer number (2520504000).

Almost surely, 2103212313512 is an apocalyptic number.

103212313512 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 103212313512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161312256000).

103212313512 is an abundant number, since it is smaller than the sum of its proper divisors (219412198488).

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

103212313512 is a wasteful number, since it uses less digits than its factorization.

103212313512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160407 (or 160403 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 103212313512 its reverse (215313212301), we get a palindrome (318525525813).

The spelling of 103212313512 in words is "one hundred three billion, two hundred twelve million, three hundred thirteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 349 462 616 698 924 1047 1396 1848 2094 2443 2792 3839 4188 4886 7329 7678 8376 9772 11517 14658 15356 19544 23034 26873 29316 30712 46068 53746 58632 80619 92136 107492 160031 161238 214984 320062 322476 480093 640124 644952 960186 1120217 1280248 1760341 1920372 2240434 3360651 3520682 3840744 4480868 5281023 6721302 7041364 8961736 10562046 12322387 13442604 14082728 21124092 24644774 26885208 36967161 42248184 49289548 55850819 73934322 98579096 111701638 147868644 167552457 223403276 295737288 335104914 390955733 446806552 614359009 670209828 781911466 1172867199 1228718018 1340419656 1563822932 1843077027 2345734398 2457436036 3127645864 3686154054 4300513063 4691468796 4914872072 7372308108 8601026126 9382937592 12901539189 14744616216 17202052252 25803078378 34404104504 51606156756 103212313512