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103121113212 = 2232131782315749
BaseRepresentation
bin110000000001001111…
…1110101000001111100
3100212011200120022200100
41200002133311001330
53142143001110322
6115212335201100
710310302666635
oct1400237650174
9325150508610
10103121113212
113a8081a8707
1217b9b076190
13995531a7b0
144dc379288c
152a38253dac
hex18027f507c

103121113212 has 144 divisors (see below), whose sum is σ = 297611496000. Its totient is φ = 29824948224.

The previous prime is 103121113211. The next prime is 103121113237. The reversal of 103121113212 is 212311121301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103121113211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6539914 + ... + 6555662.

It is an arithmetic number, because the mean of its divisors is an integer number (2066746500).

Almost surely, 2103121113212 is an apocalyptic number.

103121113212 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 103121113212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148805748000).

103121113212 is an abundant number, since it is smaller than the sum of its proper divisors (194490382788).

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

103121113212 is a wasteful number, since it uses less digits than its factorization.

103121113212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16612 (or 16607 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 103121113212 its reverse (212311121301), we get a palindrome (315432234513).

The spelling of 103121113212 in words is "one hundred three billion, one hundred twenty-one million, one hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 823 884 1326 1646 1989 2469 2652 3292 3978 4938 7407 7956 9876 10699 13991 14814 15749 21398 27982 29628 31498 32097 41973 42796 47247 55964 62996 64194 83946 94494 96291 125919 128388 141741 167892 181883 188988 192582 204737 251838 267733 283482 363766 385164 409474 503676 535466 545649 566964 614211 727532 803199 818948 1070932 1091298 1228422 1606398 1636947 1842633 2182596 2409597 2456844 3212796 3273894 3480529 3685266 4819194 6547788 6961058 7370532 9638388 10441587 12961427 13922116 20883174 25922854 31324761 38884281 41766348 51845708 62649522 77768562 116652843 125299044 155537124 168498551 220344259 233305686 336997102 440688518 466611372 505495653 661032777 673994204 881377036 1010991306 1322065554 1516486959 1983098331 2021982612 2644131108 2864475367 3032973918 3966196662 5728950734 6065947836 7932393324 8593426101 11457901468 17186852202 25780278303 34373704404 51560556606 103121113212