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13100123212312 = 23311313376191933
BaseRepresentation
bin1011111010100001110000…
…1100001100101000011000
31201101100201002222201001011
42332220130030030220120
53204113023020243222
643510040304303304
72521311160020433
oct276503414145030
951340632881034
1013100123212312
1141a0805041054
121576a84911b34
1374044ab77c46
1433409959a81a
1517ab6e60dc77
hexbea1c30ca18

13100123212312 has 128 divisors (see below), whose sum is σ = 25679113574400. Its totient is φ = 6258344601600.

The previous prime is 13100123212277. The next prime is 13100123212331. The reversal of 13100123212312 is 21321232100131.

It is a super-2 number, since 2×131001232123122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6777093298 + ... + 6777095230.

It is an arithmetic number, because the mean of its divisors is an integer number (200618074800).

Almost surely, 213100123212312 is an apocalyptic number.

It is an amenable number.

13100123212312 is a deficient number, since it is larger than the sum of its proper divisors (12578990362088).

13100123212312 is a wasteful number, since it uses less digits than its factorization.

13100123212312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 13100123212312 its reverse (21321232100131), we get a palindrome (34421355312443).

The spelling of 13100123212312 in words is "thirteen trillion, one hundred billion, one hundred twenty-three million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 4 8 31 62 124 131 248 262 337 524 619 674 1048 1238 1348 1933 2476 2696 3866 4061 4952 7732 8122 10447 15464 16244 19189 20894 32488 38378 41788 44147 59923 76756 81089 83576 88294 119846 153512 162178 176588 208603 239692 253223 324356 353176 417206 479384 506446 648712 651421 834412 1012892 1196527 1302842 1368557 1668824 2025784 2393054 2513759 2605684 2737114 4786108 5027518 5211368 5474228 6466693 7849913 9572216 10055036 10948456 12933386 15699826 20110072 20194051 25866772 27326993 31399652 37092337 40388102 51733544 54653986 62799304 74184674 80776204 85336151 109307972 148369348 156745037 161552408 170672302 218615944 296738696 313490074 341344604 403229599 626980148 682689208 806459198 847136783 1253960296 1612918396 1694273566 2645420681 3225836792 3388547132 4859096147 5290841362 6777094264 9718192294 10581682724 12500117569 19436384588 21163365448 25000235138 38872769176 50000470276 52823077469 100000940552 105646154938 211292309876 422584619752 1637515401539 3275030803078 6550061606156 13100123212312