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23364327100 = 225237673072
BaseRepresentation
bin10101110000100111…
…110101011010111100
32020022022002210102011
4111300213311122330
5340322231431400
614422230341004
71454663334502
oct256047653274
966268083364
1023364327100
1199aa60a844
1246407ba764
1322846c062a
1411b9048672
1591b2c88ba
hex5709f56bc

23364327100 has 108 divisors (see below), whose sum is σ = 53020757496. Its totient is φ = 8928247680.

The previous prime is 23364327029. The next prime is 23364327127. The reversal of 23364327100 is 172346332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76105147 + ... + 76105453.

Almost surely, 223364327100 is an apocalyptic number.

23364327100 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 23364327100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26510378748).

23364327100 is an abundant number, since it is smaller than the sum of its proper divisors (29656430396).

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

23364327100 is a wasteful number, since it uses less digits than its factorization.

23364327100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 31.

It can be divided in two parts, 23364 and 327100, that added together give a square (350464 = 5922).

The spelling of 23364327100 in words is "twenty-three billion, three hundred sixty-four million, three hundred twenty-seven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 67 74 100 134 148 185 268 307 335 370 614 670 740 925 1228 1340 1535 1675 1850 2479 3070 3350 3700 4958 6140 6700 7675 9916 11359 12395 15350 20569 22718 24790 30700 41138 45436 49580 56795 61975 82276 94249 102845 113590 123950 188498 205690 227180 247900 283975 376996 411380 471245 514225 567950 761053 942490 1028450 1135900 1522106 1884980 2056900 2356225 3044212 3487213 3805265 4712450 6314683 6974426 7610530 9424900 12629366 13948852 15221060 17436065 19026325 25258732 31573415 34872130 38052650 63146830 69744260 76105300 87180325 126293660 157867075 174360650 233643271 315734150 348721300 467286542 631468300 934573084 1168216355 2336432710 4672865420 5841081775 11682163550 23364327100