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8101113680 = 2451173126107
BaseRepresentation
bin1111000101101110…
…10010111101010000
3202220120200012210102
413202313102331100
5113042341114210
63415510551532
7404516221142
oct74267227520
922816605712
108101113680
11348795a680
1216a10685a8
139c14867ba
1456bca8c92
1532631eea5
hex1e2dd2f50

8101113680 has 80 divisors (see below), whose sum is σ = 20829006144. Its totient is φ = 2905482240.

The previous prime is 8101113679. The next prime is 8101113737. The reversal of 8101113680 is 863111018.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1187 + ... + 127293.

Almost surely, 28101113680 is an apocalyptic number.

8101113680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8101113680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10414503072).

8101113680 is an abundant number, since it is smaller than the sum of its proper divisors (12727892464).

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

8101113680 is a wasteful number, since it uses less digits than its factorization.

8101113680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126204 (or 126198 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 29.

The square root of 8101113680 is about 90006.1868984572. The cubic root of 8101113680 is about 2008.3908872740.

Adding to 8101113680 its reverse (863111018), we get a palindrome (8964224698).

The spelling of 8101113680 in words is "eight billion, one hundred one million, one hundred thirteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 73 80 88 110 146 176 220 292 365 440 584 730 803 880 1168 1460 1606 2920 3212 4015 5840 6424 8030 12848 16060 32120 64240 126107 252214 504428 630535 1008856 1261070 1387177 2017712 2522140 2774354 5044280 5548708 6935885 9205811 10088560 11097416 13871770 18411622 22194832 27743540 36823244 46029055 55487080 73646488 92058110 101263921 110974160 147292976 184116220 202527842 368232440 405055684 506319605 736464880 810111368 1012639210 1620222736 2025278420 4050556840 8101113680