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10202234202420 = 22351318172264019
BaseRepresentation
bin1001010001110110010010…
…0010111010100100110100
31100010022202020120011212120
42110131210202322210310
52314123133423434140
633410501445515540
72102041605611061
oct224354442724464
940108666504776
1010202234202420
11328381a2655a7
121189317712bb0
135900b32c2a60
14273b0dc31c68
1512a5b45dd1d0
hex947648ba934

10202234202420 has 96 divisors (see below), whose sum is σ = 30933625457280. Its totient is φ = 2497444462080.

The previous prime is 10202234202361. The next prime is 10202234202421. The reversal of 10202234202420 is 2420243220201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202234202421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35990830 + ... + 36273189.

It is an arithmetic number, because the mean of its divisors is an integer number (322225265180).

Almost surely, 210202234202420 is an apocalyptic number.

10202234202420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202234202420 is an abundant number, since it is smaller than the sum of its proper divisors (20731391254860).

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

10202234202420 is a wasteful number, since it uses less digits than its factorization.

10202234202420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72264225 (or 72264223 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10202234202420 its reverse (2420243220201), we get a palindrome (12622477422621).

The spelling of 10202234202420 in words is "ten trillion, two hundred two billion, two hundred thirty-four million, two hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 181 195 260 362 390 543 724 780 905 1086 1810 2172 2353 2715 3620 4706 5430 7059 9412 10860 11765 14118 23530 28236 35295 47060 70590 141180 72264019 144528038 216792057 289056076 361320095 433584114 722640190 867168228 939432247 1083960285 1445280380 1878864494 2167920570 2818296741 3757728988 4335841140 4697161235 5636593482 9394322470 11273186964 13079787439 14091483705 18788644940 26159574878 28182967410 39239362317 52319149756 56365934820 65398937195 78478724634 130797874390 156957449268 170037236707 196196811585 261595748780 340074473414 392393623170 510111710121 680148946828 784787246340 850186183535 1020223420242 1700372367070 2040446840484 2550558550605 3400744734140 5101117101210 10202234202420