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103114331475072 = 27323113103319317
BaseRepresentation
bin10111011100100000101101…
…000110010100110010000000
3111112002122010001102111212120
4113130200231012110302000
5102003411122324200242
61003150023034324240
730501523154664111
oct2734405506246200
9445078101374776
10103114331475072
112a9455a6a29325
12b6942b8b89680
13456c841662738
141b66a9028a208
15bdc39150b1ec
hex5dc82d194c80

103114331475072 has 128 divisors (see below), whose sum is σ = 288335287128960. Its totient is φ = 32586085711872.

The previous prime is 103114331474983. The next prime is 103114331475097. The reversal of 103114331475072 is 270574133411301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 50661643 + ... + 52657674.

It is an arithmetic number, because the mean of its divisors is an integer number (2252619430695).

Almost surely, 2103114331475072 is an apocalyptic number.

103114331475072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103114331475072 is an abundant number, since it is smaller than the sum of its proper divisors (185220955653888).

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

103114331475072 is a wasteful number, since it uses less digits than its factorization.

103114331475072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103319470 (or 103319458 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

Adding to 103114331475072 its reverse (270574133411301), we get a palindrome (373688464886373).

The spelling of 103114331475072 in words is "one hundred three trillion, one hundred fourteen billion, three hundred thirty-one million, four hundred seventy-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 113 128 138 184 192 226 276 339 368 384 452 552 678 736 904 1104 1356 1472 1808 2208 2599 2712 2944 3616 4416 5198 5424 7232 7797 8832 10396 10848 14464 15594 20792 21696 31188 41584 43392 62376 83168 124752 166336 249504 332672 499008 998016 103319317 206638634 309957951 413277268 619915902 826554536 1239831804 1653109072 2376344291 2479663608 3306218144 4752688582 4959327216 6612436288 7129032873 9505377164 9918654432 11675082821 13224872576 14258065746 19010754328 19837308864 23350165642 28516131492 35025248463 38021508656 39674617728 46700331284 57032262984 70050496926 76043017312 93400662568 114064525968 140100993852 152086034624 186801325136 228129051936 268526904883 280201987704 304172069248 373602650272 456258103872 537053809766 560403975408 747205300544 805580714649 912516207744 1074107619532 1120807950816 1494410601088 1611161429298 2148215239064 2241615901632 3222322858596 4296430478128 4483231803264 6444645717192 8592860956256 12889291434384 17185721912512 25778582868768 34371443825024 51557165737536 103114331475072