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2210131230100 = 2252431861276187
BaseRepresentation
bin100000001010010110000…
…101100011110110010100
321211021201211211100102221
4200022112011203312110
5242202322043330400
64411153102312124
7315451053330043
oct40122605436624
97737654740387
102210131230100
11782347509122
122b8408588644
131305507ca351
1478d842d455a
153c755ad2c1a
hex20296163d94

2210131230100 has 72 divisors (see below), whose sum is σ = 4910174110688. Its totient is φ = 863026012800.

The previous prime is 2210131230059. The next prime is 2210131230149. The reversal of 2210131230100 is 10321310122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7864207 + ... + 8140393.

Almost surely, 22210131230100 is an apocalyptic number.

2210131230100 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 2210131230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455087055344).

2210131230100 is an abundant number, since it is smaller than the sum of its proper divisors (2700042880588).

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

2210131230100 is a wasteful number, since it uses less digits than its factorization.

2210131230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278105 (or 278098 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2210131230100 its reverse (10321310122), we get a palindrome (2220452540222).

The spelling of 2210131230100 in words is "two trillion, two hundred ten billion, one hundred thirty-one million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 1861 2150 3722 4300 7444 9305 18610 37220 46525 80023 93050 160046 186100 276187 320092 400115 552374 800230 1104748 1380935 1600460 2000575 2761870 4001150 5523740 6904675 8002300 11876041 13809350 23752082 27618700 47504164 59380205 118760410 237520820 296901025 513984007 593802050 1027968014 1187604100 2055936028 2569920035 5139840070 10279680140 12849600175 22101312301 25699200350 44202624602 51398400700 88405249204 110506561505 221013123010 442026246020 552532807525 1105065615050 2210131230100