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130300111032 = 233713577103399
BaseRepresentation
bin111100101011001111…
…1011110100010111000
3110110022211122110120020
41321112133132202320
54113323312023112
6135505315330440
712261646445430
oct1712637364270
9413284573506
10130300111032
1150295019a83
12213052b0a20
13c397111020
1464412ab2c0
1535c939548c
hex1e567de8b8

130300111032 has 128 divisors (see below), whose sum is σ = 401622144000. Its totient is φ = 34304974848.

The previous prime is 130300110959. The next prime is 130300111061. The reversal of 130300111032 is 230111003031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1208469 + ... + 1311867.

It is an arithmetic number, because the mean of its divisors is an integer number (3137673000).

Almost surely, 2130300111032 is an apocalyptic number.

130300111032 is a gapful number since it is divisible by the number (12) 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 130300111032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200811072000).

130300111032 is an abundant number, since it is smaller than the sum of its proper divisors (271322032968).

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

130300111032 is a wasteful number, since it uses less digits than its factorization.

130300111032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104005 (or 104001 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 130300111032 its reverse (230111003031), we get a palindrome (360411114063).

The spelling of 130300111032 in words is "one hundred thirty billion, three hundred million, one hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 577 728 1092 1154 1731 2184 2308 3462 4039 4616 6924 7501 8078 12117 13848 15002 16156 22503 24234 30004 32312 45006 48468 52507 60008 90012 96936 103399 105014 157521 180024 206798 210028 310197 315042 413596 420056 620394 630084 723793 827192 1240788 1260168 1344187 1447586 2171379 2481576 2688374 2895172 4032561 4342758 5376748 5790344 8065122 8685516 9409309 10753496 16130244 17371032 18818618 28227927 32260488 37637236 56455854 59661223 75274472 112911708 119322446 178983669 225823416 238644892 357967338 417628561 477289784 715934676 775595899 835257122 1252885683 1431869352 1551191798 1670514244 2326787697 2505771366 3102383596 3341028488 4653575394 5011542732 5429171293 6204767192 9307150788 10023085464 10858342586 16287513879 18614301576 21716685172 32575027758 43433370344 65150055516 130300111032