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113020032300 = 223527296918127
BaseRepresentation
bin110100101000010000…
…1001101010100101100
3101210201120010111212020
41221100201031110230
53322431112013200
6123530511310140
711110512265230
oct1512041152454
9353646114766
10113020032300
1143a2795307a
1219aa221b350
13a8720a6476
1456823225c0
152e172e6ea0
hex1a5084d52c

113020032300 has 144 divisors (see below), whose sum is σ = 373866071040. Its totient is φ = 25823024640.

The previous prime is 113020032299. The next prime is 113020032313. The reversal of 113020032300 is 3230020311.

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 113020032300.

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, 6225837 + ... + 6243963.

It is an arithmetic number, because the mean of its divisors is an integer number (2596292160).

Almost surely, 2113020032300 is an apocalyptic number.

113020032300 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 113020032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186933035520).

113020032300 is an abundant number, since it is smaller than the sum of its proper divisors (260846038740).

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

113020032300 is a wasteful number, since it uses less digits than its factorization.

113020032300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21120 (or 21113 counting only the distinct ones).

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

Adding to 113020032300 its reverse (3230020311), we get a palindrome (116250052611).

The spelling of 113020032300 in words is "one hundred thirteen billion, twenty million, thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 2969 5938 8907 11876 14845 17814 18127 20783 29690 35628 36254 41566 44535 54381 59380 62349 72508 74225 83132 89070 90635 103915 108762 124698 126889 148450 178140 181270 207830 217524 222675 249396 253778 271905 296900 311745 362540 380667 415660 445350 453175 507556 519575 543810 623490 634445 761334 890700 906350 1039150 1087620 1246980 1268890 1359525 1522668 1558725 1812700 1903335 2078300 2537780 2719050 3117450 3172225 3806670 5438100 6234900 6344450 7613340 9516675 12688900 19033350 38066700 53819063 107638126 161457189 215276252 269095315 322914378 376733441 538190630 645828756 753466882 807285945 1076381260 1130200323 1345476575 1506933764 1614571890 1883667205 2260400646 2690953150 3229143780 3767334410 4036429725 4520801292 5381906300 5651001615 7534668820 8072859450 9418336025 11302003230 16145718900 18836672050 22604006460 28255008075 37673344100 56510016150 113020032300