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23413333300 = 225271719103553
BaseRepresentation
bin10101110011100010…
…110001110100110100
32020102201022120021121
4111303202301310310
5340422303131200
614431140553324
71456130022640
oct256342616464
966381276247
1023413333300
119a25241935
1246550b2844
1322918bb596
1411c1763c20
15920758e1a
hex5738b1d34

23413333300 has 144 divisors (see below), whose sum is σ = 64717107840. Its totient is φ = 7157514240.

The previous prime is 23413333271. The next prime is 23413333337. The reversal of 23413333300 is 333331432.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 174324 + ... + 277876.

It is an arithmetic number, because the mean of its divisors is an integer number (449424360).

Almost surely, 223413333300 is an apocalyptic number.

23413333300 is a gapful number since it is divisible by the number (20) 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 23413333300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32358553920).

23413333300 is an abundant number, since it is smaller than the sum of its proper divisors (41303774540).

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

23413333300 is a wasteful number, since it uses less digits than its factorization.

23413333300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103610 (or 103603 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 25.

Adding to 23413333300 its reverse (333331432), we get a palindrome (23746664732).

The spelling of 23413333300 in words is "twenty-three billion, four hundred thirteen million, three hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 19 20 25 28 34 35 38 50 68 70 76 85 95 100 119 133 140 170 175 190 238 266 323 340 350 380 425 475 476 532 595 646 665 700 850 950 1190 1292 1330 1615 1700 1900 2261 2380 2660 2975 3230 3325 4522 5950 6460 6650 8075 9044 11305 11900 13300 16150 22610 32300 45220 56525 103553 113050 207106 226100 414212 517765 724871 1035530 1449742 1760401 1967507 2071060 2588825 2899484 3520802 3624355 3935014 5177650 7041604 7248710 7870028 8802005 9837535 10355300 12322807 13772549 14497420 17604010 18121775 19675070 24645614 27545098 33447619 35208020 36243550 39350140 44010025 49187675 49291228 55090196 61614035 66895238 68862745 72487100 88020050 98375350 123228070 133790476 137725490 167238095 176040100 196750700 234133333 246456140 275450980 308070175 334476190 344313725 468266666 616140350 668952380 688627450 836190475 936533332 1170666665 1232280700 1377254900 1672380950 2341333330 3344761900 4682666660 5853333325 11706666650 23413333300