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32042342100 = 223521033133313
BaseRepresentation
bin11101110101110111…
…110101011011010100
310001201002022122001010
4131311313311123110
51011110314421400
622415310332220
72213016261666
oct356567653324
9101632278033
1032042342100
111265308096a
126262aba070
133038546052
14179d7a6536
15c780a2450
hex775df56d4

32042342100 has 144 divisors (see below), whose sum is σ = 93936682112. Its totient is φ = 8432087040.

The previous prime is 32042342077. The next prime is 32042342113. The reversal of 32042342100 is 124324023.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9670044 + ... + 9673356.

Almost surely, 232042342100 is an apocalyptic number.

32042342100 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 32042342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46968341056).

32042342100 is an abundant number, since it is smaller than the sum of its proper divisors (61894340012).

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

32042342100 is a wasteful number, since it uses less digits than its factorization.

32042342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3746 (or 3739 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 32042342100 its reverse (124324023), we get a palindrome (32166666123).

The spelling of 32042342100 in words is "thirty-two billion, forty-two million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 150 206 300 309 313 412 515 618 626 939 1030 1236 1252 1545 1565 1878 2060 2575 3090 3130 3313 3756 4695 5150 6180 6260 6626 7725 7825 9390 9939 10300 13252 15450 15650 16565 18780 19878 23475 30900 31300 32239 33130 39756 46950 49695 64478 66260 82825 93900 96717 99390 128956 161195 165650 193434 198780 248475 322390 331300 341239 386868 483585 496950 644780 682478 805975 967170 993900 1023717 1036969 1364956 1611950 1706195 1934340 2047434 2073938 2417925 3110907 3223900 3412390 4094868 4147876 4835850 5118585 5184845 6221814 6824780 8530975 9671700 10237170 10369690 12443628 15554535 17061950 20474340 20739380 25592925 25924225 31109070 34123900 51185850 51848450 62218140 77772675 102371700 103696900 106807807 155545350 213615614 311090700 320423421 427231228 534039035 640846842 1068078070 1281693684 1602117105 2136156140 2670195175 3204234210 5340390350 6408468420 8010585525 10680780700 16021171050 32042342100