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23423113332100 = 22521495412905769
BaseRepresentation
bin1010101001101100111100…
…10110011000010110000100
310001221020011001010002002201
411110312132112120112010
511032231014003111400
6121452232452444244
74635156404166616
oct524663626302604
9101836131102081
1023423113332100
117510760922669
122763681319684
13100ba36b42031
145ad982ca6db6
152a945021d06a
hex154d9e598584

23423113332100 has 72 divisors (see below), whose sum is σ = 51263884917000. Its totient is φ = 9289159142400.

The previous prime is 23423113332079. The next prime is 23423113332131. The reversal of 23423113332100 is 123331132432.

It can be written as a sum of positive squares in 12 ways, for example, as 16719446679364 + 6703666652736 = 4088942^2 + 2589144^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6608016 + ... + 9513784.

It is an arithmetic number, because the mean of its divisors is an integer number (711998401625).

Almost surely, 223423113332100 is an apocalyptic number.

23423113332100 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 23423113332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25631942458500).

23423113332100 is an abundant number, since it is smaller than the sum of its proper divisors (27840771584900).

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

23423113332100 is a wasteful number, since it uses less digits than its factorization.

23423113332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906473 (or 2906466 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 23423113332100 its reverse (123331132432), we get a palindrome (23546444464532).

The spelling of 23423113332100 in words is "twenty-three trillion, four hundred twenty-three billion, one hundred thirteen million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 298 541 596 745 1082 1490 2164 2705 2980 3725 5410 7450 10820 13525 14900 27050 54100 80609 161218 322436 403045 806090 1612180 2015225 2905769 4030450 5811538 8060900 11623076 14528845 29057690 58115380 72644225 145288450 290576900 432959581 865919162 1572021029 1731838324 2164797905 3144042058 4329595810 6288084116 7860105145 8659191620 10823989525 15720210290 21647979050 31440420580 39300525725 43295958100 78601051450 157202102900 234231133321 468462266642 936924533284 1171155666605 2342311333210 4684622666420 5855778333025 11711556666050 23423113332100