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42210023100 = 223527148913499
BaseRepresentation
bin100111010011111010…
…011101011010111100
311000221200121100020220
4213103322131122330
51142421231214400
631220243141340
73023001163560
oct472372353274
9130850540226
1042210023100
11169a0504113
128220074850
133c98bb313b
142085cd76a0
151170a337a0
hex9d3e9d6bc

42210023100 has 144 divisors (see below), whose sum is σ = 139678560000. Its totient is φ = 9640811520.

The previous prime is 42210023081. The next prime is 42210023123. The reversal of 42210023100 is 132001224.

It is a super-2 number, since 2×422100231002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42210023100.

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, 3120151 + ... + 3133649.

It is an arithmetic number, because the mean of its divisors is an integer number (969990000).

Almost surely, 242210023100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42210023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69839280000).

42210023100 is an abundant number, since it is smaller than the sum of its proper divisors (97468536900).

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

42210023100 is a wasteful number, since it uses less digits than its factorization.

42210023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15012 (or 15005 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 42210023100 its reverse (132001224), we get a palindrome (42342024324).

The spelling of 42210023100 in words is "forty-two billion, two hundred ten million, twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 1489 2100 2978 4467 5956 7445 8934 10423 13499 14890 17868 20846 22335 26998 29780 31269 37225 40497 41692 44670 52115 53996 62538 67495 74450 80994 89340 94493 104230 111675 125076 134990 148900 156345 161988 188986 202485 208460 223350 260575 269980 283479 312690 337475 377972 404970 446700 472465 521150 566958 625380 674950 781725 809940 944930 1012425 1042300 1133916 1349900 1417395 1563450 1889860 2024850 2362325 2834790 3126900 4049700 4724650 5669580 7086975 9449300 14173950 20100011 28347900 40200022 60300033 80400044 100500055 120600066 140700077 201000110 241200132 281400154 301500165 402000220 422100231 502500275 562800308 603000330 703500385 844200462 1005000550 1206000660 1407000770 1507500825 1688400924 2010001100 2110501155 2814001540 3015001650 3517501925 4221002310 6030003300 7035003850 8442004620 10552505775 14070007700 21105011550 42210023100