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130202103300 = 223522950329753
BaseRepresentation
bin111100101000010100…
…1100110111000000100
3110110002000020011020020
41321100221212320010
54113123214301200
6135451454535140
712256346421543
oct1712051467004
9413060204206
10130202103300
1150244769355
12212985074b0
13c37ca17299
14643227815a
1535c0985ea0
hex1e50a66e04

130202103300 has 144 divisors (see below), whose sum is σ = 390496256640. Its totient is φ = 33455528960.

The previous prime is 130202103293. The next prime is 130202103323. The reversal of 130202103300 is 3301202031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130202103300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4361224 + ... + 4390976.

It is an arithmetic number, because the mean of its divisors is an integer number (2711779560).

Almost surely, 2130202103300 is an apocalyptic number.

130202103300 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 130202103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195248128320).

130202103300 is an abundant number, since it is smaller than the sum of its proper divisors (260294153340).

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

130202103300 is a wasteful number, since it uses less digits than its factorization.

130202103300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30302 (or 30295 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 130202103300 its reverse (3301202031), we get a palindrome (133503305331).

The spelling of 130202103300 in words is "one hundred thirty billion, two hundred two million, one hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 503 580 725 870 1006 1450 1509 1740 2012 2175 2515 2900 3018 4350 5030 6036 7545 8700 10060 12575 14587 15090 25150 29174 29753 30180 37725 43761 50300 58348 59506 72935 75450 87522 89259 119012 145870 148765 150900 175044 178518 218805 291740 297530 357036 364675 437610 446295 595060 729350 743825 862837 875220 892590 1094025 1458700 1487650 1725674 1785180 2188050 2231475 2588511 2975300 3451348 4314185 4376100 4462950 5177022 8628370 8925900 10354044 12942555 14965759 17256740 21570925 25885110 29931518 43141850 44897277 51770220 59863036 64712775 74828795 86283700 89794554 129425550 149657590 179589108 224486385 258851100 299315180 374143975 434007011 448972770 748287950 868014022 897945540 1122431925 1302021033 1496575900 1736028044 2170035055 2244863850 2604042066 4340070110 4489727700 5208084132 6510105165 8680140220 10850175275 13020210330 21700350550 26040420660 32550525825 43400701100 65101051650 130202103300