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101252255340 = 223517193151407
BaseRepresentation
bin101111001001100011…
…0101100111001101100
3100200100102222111122010
41132103012230321230
53124331034132330
6114303055121220
710213060653465
oct1362306547154
9320312874563
10101252255340
1139a39293075
1217759213210
13971809ba32
144c874b3d6c
1529791483b0
hex17931ace6c

101252255340 has 96 divisors (see below), whose sum is σ = 300344454144. Its totient is φ = 25398676480.

The previous prime is 101252255329. The next prime is 101252255369. The reversal of 101252255340 is 43552252101.

It is a super-2 number, since 2×1012522553402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 101252255298 and 101252255307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1943917 + ... + 1995323.

It is an arithmetic number, because the mean of its divisors is an integer number (3128588064).

Almost surely, 2101252255340 is an apocalyptic number.

101252255340 is a gapful number since it is divisible by the number (10) 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 101252255340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150172227072).

101252255340 is an abundant number, since it is smaller than the sum of its proper divisors (199092198804).

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

101252255340 is a wasteful number, since it uses less digits than its factorization.

101252255340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53367 (or 53365 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 101252255340 in words is "one hundred one billion, two hundred fifty-two million, two hundred fifty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1931 3862 5793 7724 9655 11586 19310 23172 28965 32827 38620 51407 57930 65654 98481 102814 115860 131308 154221 164135 196962 205628 257035 308442 328270 393924 492405 514070 616884 656540 771105 873919 984810 1028140 1542210 1747838 1969620 2621757 3084420 3495676 4369595 5243514 8739190 10487028 13108785 17478380 26217570 52435140 99266917 198533834 297800751 397067668 496334585 595601502 992669170 1191203004 1489003755 1687537589 1985338340 2978007510 3375075178 5062612767 5956015020 6750150356 8437687945 10125225534 16875375890 20250451068 25313063835 33750751780 50626127670 101252255340