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104145240510 = 23452937119827
BaseRepresentation
bin110000011111110001…
…0100100000110111110
3100221211001122101020000
41200333202210012332
53201242140144020
6115502121535130
710344546636543
oct1407742440676
9327731571200
10104145240510
1140193300703
12182260444a6
139a8955488c
14507d7c0bca
152a980ee090
hex183f8a41be

104145240510 has 160 divisors (see below), whose sum is σ = 297523337760. Its totient is φ = 26089475328.

The previous prime is 104145240503. The next prime is 104145240581. The reversal of 104145240510 is 15042541401.

104145240510 is a `hidden beast` number, since 1 + 0 + 4 + 145 + 2 + 4 + 0 + 510 = 666.

It is a super-2 number, since 2×1041452405102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 809217 + ... + 929043.

It is an arithmetic number, because the mean of its divisors is an integer number (1859520861).

Almost surely, 2104145240510 is an apocalyptic number.

104145240510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104145240510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148761668880).

104145240510 is an abundant number, since it is smaller than the sum of its proper divisors (193378097250).

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

104145240510 is a wasteful number, since it uses less digits than its factorization.

104145240510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119912 (or 119903 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 104145240510 its reverse (15042541401), we get a palindrome (119187781911).

The spelling of 104145240510 in words is "one hundred four billion, one hundred forty-five million, two hundred forty thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 37 45 54 58 74 81 87 90 111 135 145 162 174 185 222 261 270 290 333 370 405 435 522 555 666 783 810 870 999 1073 1110 1305 1566 1665 1998 2146 2349 2610 2997 3219 3330 3915 4698 4995 5365 5994 6438 7830 9657 9990 10730 11745 14985 16095 19314 23490 28971 29970 32190 48285 57942 86913 96570 119827 144855 173826 239654 289710 359481 434565 599135 718962 869130 1078443 1198270 1797405 2156886 3235329 3474983 3594810 4433599 5392215 6470658 6949966 8867198 9705987 10424949 10784430 13300797 16176645 17374915 19411974 20849898 22167995 26601594 31274847 32353290 34749830 39902391 44335990 48529935 52124745 62549694 66503985 79804782 93824541 97059870 104249490 119707173 128574371 133007970 156374235 187649082 199511955 239414346 257148742 281473623 312748470 359121519 385723113 399023910 469122705 562947246 598535865 642871855 718243038 771446226 938245410 1157169339 1197071730 1285743710 1407368115 1795607595 1928615565 2314338678 2814736230 3471508017 3591215190 3857231130 5785846695 6943016034 10414524051 11571693390 17357540085 20829048102 34715080170 52072620255 104145240510