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130554535540 = 2251113111740867
BaseRepresentation
bin111100110010110101…
…0000001111001110100
3110110222120101120101011
41321211222001321310
54114333430114130
6135550444442004
712301156146022
oct1714552017164
9413876346334
10130554535540
11504056a4970
1221376549304
13c407a42580
146466db9712
1535e18a052a
hex1e65a81e74

130554535540 has 96 divisors (see below), whose sum is σ = 322391631744. Its totient is φ = 43782197760.

The previous prime is 130554535511. The next prime is 130554535541. The reversal of 130554535540 is 45535455031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 130554535493 and 130554535502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130554535541) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3174187 + ... + 3215053.

It is an arithmetic number, because the mean of its divisors is an integer number (3358246164).

Almost surely, 2130554535540 is an apocalyptic number.

130554535540 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 130554535540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161195815872).

130554535540 is an abundant number, since it is smaller than the sum of its proper divisors (191837096204).

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

130554535540 is a wasteful number, since it uses less digits than its factorization.

130554535540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42017 (or 42015 counting only the distinct ones).

The product of its (nonzero) digits is 450000, while the sum is 40.

The spelling of 130554535540 in words is "one hundred thirty billion, five hundred fifty-four million, five hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1117 1430 2234 2860 4468 5585 11170 12287 14521 22340 24574 29042 40867 49148 58084 61435 72605 81734 122870 145210 159731 163468 204335 245740 290420 319462 408670 449537 531271 638924 798655 817340 899074 1062542 1597310 1798148 2125084 2247685 2656355 3194620 4495370 5312710 5843981 8990740 10625420 11687962 23375924 29219905 45648439 58439810 91296878 116879620 182593756 228242195 456484390 502132829 593429707 912968780 1004265658 1186859414 2008531316 2373718828 2510664145 2967148535 5021328290 5934297070 6527726777 10042656580 11868594140 13055453554 26110907108 32638633885 65277267770 130554535540