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200302213132100 = 2252107123115207013
BaseRepresentation
bin101101100010110001111110…
…010000101110111101000100
3222021012201000121221211211002
4231202301332100232331010
5202223222413030211400
61550001322201432432
760122233365462302
oct5542617620567504
9867181017854732
10200302213132100
1158905767499542
121a56bab1a9b718
13879c5577694c1
143766970a61272
1518254c0bb0ed5
hexb62c7e42ef44

200302213132100 has 72 divisors (see below), whose sum is σ = 439074426688128. Its totient is φ = 79307608982400.

The previous prime is 200302213132081. The next prime is 200302213132121. The reversal of 200302213132100 is 1231312203002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5568194 + ... + 20775206.

It is an arithmetic number, because the mean of its divisors is an integer number (6098255926224).

Almost surely, 2200302213132100 is an apocalyptic number.

200302213132100 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 200302213132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219537213344064).

200302213132100 is an abundant number, since it is smaller than the sum of its proper divisors (238772213556028).

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

200302213132100 is a wasteful number, since it uses less digits than its factorization.

200302213132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15208365 (or 15208358 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 200302213132100 its reverse (1231312203002), we get a palindrome (201533525335102).

The spelling of 200302213132100 in words is "two hundred trillion, three hundred two billion, two hundred thirteen million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 214 428 535 1070 1231 2140 2462 2675 4924 5350 6155 10700 12310 24620 30775 61550 123100 131717 263434 526868 658585 1317170 2634340 3292925 6585850 13171700 15207013 30414026 60828052 76035065 152070130 304140260 380175325 760350650 1520701300 1627150391 3254300782 6508601564 8135751955 16271503910 18719833003 32543007820 37439666006 40678759775 74879332012 81357519550 93599165015 162715039100 187198330030 374396660060 467995825075 935991650150 1871983300300 2003022131321 4006044262642 8012088525284 10015110656605 20030221313210 40060442626420 50075553283025 100151106566050 200302213132100