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106320110151240 = 233251034328553963
BaseRepresentation
bin11000001011001010010100…
…011001011110011001001000
3111221110002210021120122021100
4120023022110121132121020
5102413422041144314430
61014042441225141400
731252242305064456
oct3013122431363110
9457402707518240
10106320110151240
113097111846a127
12bb1167192a860
134742c357683cb
141c37cc68dd9d6
15c4596b68e960
hex60b29465e648

106320110151240 has 96 divisors (see below), whose sum is σ = 345573778230720. Its totient is φ = 28349287200384.

The previous prime is 106320110151187. The next prime is 106320110151301. The reversal of 106320110151240 is 42151011023601.

106320110151240 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 2 + 0 + 1 + 101 + 512 + 40 = 666.

It is a super-2 number, since 2×1063201101512402 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10553502 + ... + 18000461.

It is an arithmetic number, because the mean of its divisors is an integer number (3599726856570).

Almost surely, 2106320110151240 is an apocalyptic number.

106320110151240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106320110151240 is an abundant number, since it is smaller than the sum of its proper divisors (239253668079480).

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

106320110151240 is a wasteful number, since it uses less digits than its factorization.

106320110151240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28564323 (or 28564316 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 106320110151240 its reverse (42151011023601), we get a palindrome (148471121174841).

The spelling of 106320110151240 in words is "one hundred six trillion, three hundred twenty billion, one hundred ten million, one hundred fifty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 10343 20686 31029 41372 51715 62058 82744 93087 103430 124116 155145 186174 206860 248232 310290 372348 413720 465435 620580 744696 930870 1241160 1861740 3723480 28553963 57107926 85661889 114215852 142769815 171323778 228431704 256985667 285539630 342647556 428309445 513971334 571079260 685295112 856618890 1027942668 1142158520 1284928335 1713237780 2055885336 2569856670 3426475560 5139713340 10279426680 295333639309 590667278618 886000917927 1181334557236 1476668196545 1772001835854 2362669114472 2658002753781 2953336393090 3544003671708 4430004589635 5316005507562 5906672786180 7088007343416 8860009179270 10632011015124 11813345572360 13290013768905 17720018358540 21264022030248 26580027537810 35440036717080 53160055075620 106320110151240