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30302300100 = 223521929183317
BaseRepresentation
bin11100001110001010…
…000110011111000100
32220012211010100011010
4130032022012133010
5444024342100400
621530511242220
72121630205152
oct341612063704
986184110133
1030302300100
111193a949626
125a58219370
132b1bbb9ab7
14167665a3d2
15bc543e450
hex70e2867c4

30302300100 has 144 divisors (see below), whose sum is σ = 95472014400. Its totient is φ = 7391301120.

The previous prime is 30302300069. The next prime is 30302300111. The reversal of 30302300100 is 100320303.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 73642 + ... + 256958.

It is an arithmetic number, because the mean of its divisors is an integer number (663000100).

Almost surely, 230302300100 is an apocalyptic number.

30302300100 is a gapful number since it is divisible by the number (30) 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 30302300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47736007200).

30302300100 is an abundant number, since it is smaller than the sum of its proper divisors (65169714300).

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

30302300100 is a wasteful number, since it uses less digits than its factorization.

30302300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183382 (or 183375 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 30302300100 its reverse (100320303), we get a palindrome (30402620403).

The spelling of 30302300100 in words is "thirty billion, three hundred two million, three hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 29 30 38 50 57 58 60 75 76 87 95 100 114 116 145 150 174 190 228 285 290 300 348 380 435 475 551 570 580 725 870 950 1102 1140 1425 1450 1653 1740 1900 2175 2204 2755 2850 2900 3306 4350 5510 5700 6612 8265 8700 11020 13775 16530 27550 33060 41325 55100 82650 165300 183317 366634 549951 733268 916585 1099902 1833170 2199804 2749755 3483023 3666340 4582925 5316193 5499510 6966046 9165850 10449069 10632386 10999020 13748775 13932092 15948579 17415115 18331700 20898138 21264772 26580965 27497550 31897158 34830230 41796276 52245345 53161930 54995100 63794316 69660460 79742895 87075575 101007667 104490690 106323860 132904825 159485790 174151150 202015334 208981380 261226725 265809650 303023001 318971580 348302300 398714475 404030668 505038335 522453450 531619300 606046002 797428950 1010076670 1044906900 1212092004 1515115005 1594857900 2020153340 2525191675 3030230010 5050383350 6060460020 7575575025 10100766700 15151150050 30302300100