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2420011200100 = 22521321271127527
BaseRepresentation
bin100011001101110011111…
…010000110111001100100
322120100110202000111212011
4203031303322012321210
5304122140331400400
65051423210404004
7336561063541234
oct43156372067144
98510422014764
102420011200100
11853359261a8a
12331020a30604
1314728a99c200
14851b4611cc4
1542e3b6058ba
hex23373e86e64

2420011200100 has 108 divisors (see below), whose sum is σ = 5731233844224. Its totient is φ = 886506042240.

The previous prime is 2420011200067. The next prime is 2420011200137. The reversal of 2420011200100 is 10021100242.

It is a happy number.

It is a super-3 number, since 3×24200112001003 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 1582537 + ... + 2710063.

Almost surely, 22420011200100 is an apocalyptic number.

2420011200100 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 2420011200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865616922112).

2420011200100 is an abundant number, since it is smaller than the sum of its proper divisors (3311222644124).

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

2420011200100 is a wasteful number, since it uses less digits than its factorization.

2420011200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127694 (or 1127674 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2420011200100 its reverse (10021100242), we get a palindrome (2430032300342).

The spelling of 2420011200100 in words is "two trillion, four hundred twenty billion, eleven million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 127 130 169 254 260 325 338 508 635 650 676 845 1270 1300 1651 1690 2540 3175 3302 3380 4225 6350 6604 8255 8450 12700 16510 16900 21463 33020 41275 42926 82550 85852 107315 165100 214630 429260 536575 1073150 1127527 2146300 2255054 4510108 5637635 11275270 14657851 22550540 28188175 29315702 56376350 58631404 73289255 112752700 143195929 146578510 190552063 286391858 293157020 366446275 381104126 572783716 715979645 732892550 762208252 952760315 1431959290 1465785100 1861547077 1905520630 2863918580 3579898225 3723094154 3811041260 4763801575 7159796450 7446188308 9307735385 9527603150 14319592900 18615470770 19055206300 24200112001 37230941540 46538676925 48400224002 93077353850 96800448004 121000560005 186154707700 242001120010 484002240020 605002800025 1210005600050 2420011200100