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130190316800 = 2852163124799
BaseRepresentation
bin111100100111111110…
…0101001010100000000
3110110001012001100012012
41321033330221110000
54113112210114200
6135450354152052
712256144301555
oct1711774512400
9413035040165
10130190316800
1150239048a45
1221294582628
13c37a44b51b
14643088aa2c
1535be908a35
hex1e4ff29500

130190316800 has 108 divisors (see below), whose sum is σ = 324220915200. Its totient is φ = 51756226560.

The previous prime is 130190316791. The next prime is 130190316853. The reversal of 130190316800 is 8613091031.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 980801 + ... + 1105599.

Almost surely, 2130190316800 is an apocalyptic number.

130190316800 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 130190316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162110457600).

130190316800 is an abundant number, since it is smaller than the sum of its proper divisors (194030598400).

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

130190316800 is a wasteful number, since it uses less digits than its factorization.

130190316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124988 (or 124969 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 130190316800 in words is "one hundred thirty billion, one hundred ninety million, three hundred sixteen thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 163 200 256 320 326 400 640 652 800 815 1280 1304 1600 1630 2608 3200 3260 4075 5216 6400 6520 8150 10432 13040 16300 20864 26080 32600 41728 52160 65200 104320 124799 130400 208640 249598 260800 499196 521600 623995 998392 1043200 1247990 1996784 2495980 3119975 3993568 4991960 6239950 7987136 9983920 12479900 15974272 19967840 20342237 24959800 31948544 39935680 40684474 49919600 79871360 81368948 99839200 101711185 159742720 162737896 199678400 203422370 325475792 399356800 406844740 508555925 650951584 798713600 813689480 1017111850 1301903168 1627378960 2034223700 2603806336 3254757920 4068447400 5207612672 6509515840 8136894800 13019031680 16273789600 26038063360 32547579200 65095158400 130190316800