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130263100 = 225211791499
BaseRepresentation
bin1111100001110…
…10100000111100
3100002010001101021
413300322200330
5231321404400
620531553524
73141134542
oct760724074
9302101337
10130263100
1167591660
123775b8a4
1320cab476
141342bd92
15b68171a
hex7c3a83c

130263100 has 72 divisors (see below), whose sum is σ = 312480000. Its totient is φ = 46737600.

The previous prime is 130263097. The next prime is 130263131. The reversal of 130263100 is 1362031.

It is a super-2 number, since 2×1302631002 = 33936950443220000, which contains 22 as substring.

It is a congruent number.

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, 86151 + ... + 87649.

It is an arithmetic number, because the mean of its divisors is an integer number (4340000).

Almost surely, 2130263100 is an apocalyptic number.

130263100 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 130263100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240000).

130263100 is an abundant number, since it is smaller than the sum of its proper divisors (182216900).

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

130263100 is a wasteful number, since it uses less digits than its factorization.

130263100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 130263100 is about 11413.2861175036. The cubic root of 130263100 is about 506.9212180820.

The spelling of 130263100 in words is "one hundred thirty million, two hundred sixty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 79 100 110 158 220 275 316 395 550 790 869 1100 1499 1580 1738 1975 2998 3476 3950 4345 5996 7495 7900 8690 14990 16489 17380 21725 29980 32978 37475 43450 65956 74950 82445 86900 118421 149900 164890 236842 329780 412225 473684 592105 824450 1184210 1302631 1648900 2368420 2605262 2960525 5210524 5921050 6513155 11842100 13026310 26052620 32565775 65131550 130263100