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130221320300 = 225219263421619
BaseRepresentation
bin111100101000111001…
…0111010100001101100
3110110010100101110222222
41321101302322201230
54113143124222200
6135453422454512
712260001650021
oct1712162724154
9413110343888
10130221320300
11502545a4375
12212a2a34438
13c3839b51a6
146434a3b548
1535c24ced85
hex1e51cba86c

130221320300 has 144 divisors (see below), whose sum is σ = 299776646400. Its totient is φ = 48963398400.

The previous prime is 130221320287. The next prime is 130221320321. The reversal of 130221320300 is 3023122031.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 210373391 + ... + 210374009.

Almost surely, 2130221320300 is an apocalyptic number.

130221320300 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 130221320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149888323200).

130221320300 is an abundant number, since it is smaller than the sum of its proper divisors (169555326100).

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

130221320300 is a wasteful number, since it uses less digits than its factorization.

130221320300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 130221320300 its reverse (3023122031), we get a palindrome (133244442331).

The spelling of 130221320300 in words is "one hundred thirty billion, two hundred twenty-one million, three hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 263 380 421 475 526 619 842 950 1052 1238 1315 1684 1900 2105 2476 2630 3095 4210 4997 5260 6190 6575 7999 8420 9994 10525 11761 12380 13150 15475 15998 19988 21050 23522 24985 26300 30950 31996 39995 42100 47044 49970 58805 61900 79990 99940 110723 117610 124925 159980 162797 199975 221446 235220 249850 260599 294025 325594 399950 442892 499700 521198 553615 588050 651188 799900 813985 1042396 1107230 1176100 1302995 1627970 2103737 2214460 2605990 2768075 3093143 3255940 4069925 4207474 4951381 5211980 5536150 6186286 6514975 8139850 8414948 9902762 10518685 11072300 12372572 13029950 15465715 16279700 19805524 21037370 24756905 26059900 30931430 42074740 49513810 52593425 61862860 68537537 77328575 99027620 105186850 123784525 137075074 154657150 210373700 247569050 274150148 309314300 342687685 495138100 685375370 1302213203 1370750740 1713438425 2604426406 3426876850 5208852812 6511066015 6853753700 13022132030 26044264060 32555330075 65110660150 130221320300