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101078006640 = 24351332396797
BaseRepresentation
bin101111000100010110…
…1111111101101110000
3100122220022002202100120
41132020231333231300
53124001432203030
6114233512250240
710205543611002
oct1361055775560
9318808082316
10101078006640
1139959999486
121770a9a0980
1396bac5c8b0
144c6c2b6372
152968bc9010
hex1788b7fb70

101078006640 has 80 divisors (see below), whose sum is σ = 337445047968. Its totient is φ = 24880739328.

The previous prime is 101078006639. The next prime is 101078006641. The reversal of 101078006640 is 46600870101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101078006639) and next prime (101078006641).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1010780066403 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101078006641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16195279 + ... + 16201518.

Almost surely, 2101078006640 is an apocalyptic number.

101078006640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101078006640 is an abundant number, since it is smaller than the sum of its proper divisors (236367041328).

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

101078006640 is a wasteful number, since it uses less digits than its factorization.

101078006640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32396826 (or 32396820 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

Adding to 101078006640 its reverse (46600870101), we get a palindrome (147678876741).

The spelling of 101078006640 in words is "one hundred one billion, seventy-eight million, six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 32396797 64793594 97190391 129587188 161983985 194380782 259174376 323967970 388761564 421158361 485951955 518348752 647935940 777523128 842316722 971903910 1263475083 1295871880 1555046256 1684633444 1943807820 2105791805 2526950166 2591743760 3369266888 3887615640 4211583610 5053900332 6317375415 6738533776 7775231280 8423167220 10107800664 12634750830 16846334440 20215601328 25269501660 33692668880 50539003320 101078006640