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40231302100 = 225211231110691
BaseRepresentation
bin100101011101111110…
…001111001111010100
310211211210021220022221
4211131332033033110
51124343203131400
630252040232124
72622653265643
oct453576171724
9124753256287
1040231302100
1116075580800
12796946b644
133a41c79402
141d391bb35a
1510a6e75c1a
hex95df8f3d4

40231302100 has 108 divisors (see below), whose sum is σ = 96277525344. Its totient is φ = 14581160000.

The previous prime is 40231302049. The next prime is 40231302161. The reversal of 40231302100 is 120313204.

It is a happy number.

It is a super-2 number, since 2×402313021002 (a number of 22 digits) contains 22 as substring.

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, 3757755 + ... + 3768445.

It is an arithmetic number, because the mean of its divisors is an integer number (891458568).

Almost surely, 240231302100 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 40231302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48138762672).

40231302100 is an abundant number, since it is smaller than the sum of its proper divisors (56046223244).

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

40231302100 is a wasteful number, since it uses less digits than its factorization.

40231302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11038 (or 11020 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 40231302100 its reverse (120313204), we get a palindrome (40351615304).

The spelling of 40231302100 in words is "forty billion, two hundred thirty-one million, three hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 311 484 550 605 622 1100 1210 1244 1555 2420 3025 3110 3421 6050 6220 6842 7775 10691 12100 13684 15550 17105 21382 31100 34210 37631 42764 53455 68420 75262 85525 106910 117601 150524 171050 188155 213820 235202 267275 342100 376310 470404 534550 588005 752620 940775 1069100 1176010 1293611 1881550 2352020 2587222 2940025 3324901 3763100 5174444 5880050 6468055 6649802 11760100 12936110 13299604 16624505 25872220 32340275 33249010 36573911 64680550 66498020 73147822 83122525 129361100 146295644 166245050 182869555 332490100 365739110 402313021 731478220 804626042 914347775 1609252084 1828695550 2011565105 3657391100 4023130210 8046260420 10057825525 20115651050 40231302100