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100042300423100 = 225271045271367279
BaseRepresentation
bin10110101111110011101001…
…110001110111101110111100
3111010012221122221000200000202
4112233303221301313232330
5101103043112402014400
6552434444235343032
730033550315616030
oct2657635161675674
9433187587020022
10100042300423100
1129970779545132
12b278a4bbb1a78
1343a8c4398b0b9
141a9c104b1c1c0
15b874e320d4d5
hex5afce9c77bbc

100042300423100 has 72 divisors (see below), whose sum is σ = 248107460106240. Its totient is φ = 34299864054720.

The previous prime is 100042300423073. The next prime is 100042300423187. The reversal of 100042300423100 is 1324003240001.

It is a super-2 number, since 2×1000423004231002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72485261 + ... + 73852539.

It is an arithmetic number, because the mean of its divisors is an integer number (3445936945920).

Almost surely, 2100042300423100 is an apocalyptic number.

100042300423100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100042300423100 is an abundant number, since it is smaller than the sum of its proper divisors (148065159683140).

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

100042300423100 is a wasteful number, since it uses less digits than its factorization.

100042300423100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471827 (or 1471820 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 100042300423100 its reverse (1324003240001), we get a palindrome (101366303663101).

The spelling of 100042300423100 in words is "one hundred trillion, forty-two billion, three hundred million, four hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 104527 209054 418108 522635 731689 1045270 1367279 1463378 2090540 2613175 2734558 2926756 3658445 5226350 5469116 6836395 7316890 9570953 10452700 13672790 14633780 18292225 19141906 27345580 34181975 36584450 38283812 47854765 68363950 73168900 95709530 136727900 191419060 239273825 478547650 957095300 142917572033 285835144066 571670288132 714587860165 1000423004231 1429175720330 2000846008462 2858351440660 3572939300825 4001692016924 5002115021155 7145878601650 10004230042310 14291757203300 20008460084620 25010575105775 50021150211550 100042300423100