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2032023010200 = 2335213812452357
BaseRepresentation
bin11101100100011110000…
…000100111101110011000
321012021000011210022121220
4131210132000213232120
5231243040342311300
64153255401132040
7266544265412601
oct35443600475630
97167004708556
102032023010200
1171385a018377
122899a048a020
13119807a9c111
14704c9862da8
1537cce511da0
hex1d91e027b98

2032023010200 has 96 divisors (see below), whose sum is σ = 6303835286160. Its totient is φ = 541480204800.

The previous prime is 2032023010189. The next prime is 2032023010207. The reversal of 2032023010200 is 20103202302.

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 2032023010200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032023010207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397579 + ... + 2054778.

Almost surely, 22032023010200 is an apocalyptic number.

2032023010200 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 2032023010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151917643080).

2032023010200 is an abundant number, since it is smaller than the sum of its proper divisors (4271812275960).

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

2032023010200 is a wasteful number, since it uses less digits than its factorization.

2032023010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453757 (or 2453748 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2032023010200 its reverse (20103202302), we get a palindrome (2052126212502).

The spelling of 2032023010200 in words is "two trillion, thirty-two billion, twenty-three million, ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1381 2762 4143 5524 6905 8286 11048 13810 16572 20715 27620 33144 34525 41430 55240 69050 82860 103575 138100 165720 207150 276200 414300 828600 2452357 4904714 7357071 9809428 12261785 14714142 19618856 24523570 29428284 36785355 49047140 58856568 61308925 73570710 98094280 122617850 147141420 183926775 245235700 294282840 367853550 490471400 735707100 1471414200 3386705017 6773410034 10160115051 13546820068 16933525085 20320230102 27093640136 33867050170 40640460204 50800575255 67734100340 81280920408 84667625425 101601150510 135468200680 169335250850 203202301020 254002876275 338670501700 406404602040 508005752550 677341003400 1016011505100 2032023010200