Search a number
-
+
23121000200 = 23521732113167
BaseRepresentation
bin10101100010000111…
…100111011100001000
32012200100020111122202
4111202013213130020
5334322434001300
614342135135332
71445650154564
oct254207473410
965610214582
1023121000200
119895224731
124593214548
13224617640c
1411949c86a4
15904c61ad5
hex5621e7708

23121000200 has 96 divisors (see below), whose sum is σ = 54340450560. Its totient is φ = 9148473600.

The previous prime is 23121000179. The next prime is 23121000239. The reversal of 23121000200 is 200012132.

It is a happy number.

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, 7299017 + ... + 7302183.

It is an arithmetic number, because the mean of its divisors is an integer number (566046360).

Almost surely, 223121000200 is an apocalyptic number.

23121000200 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 23121000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27170225280).

23121000200 is an abundant number, since it is smaller than the sum of its proper divisors (31219450360).

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

23121000200 is a wasteful number, since it uses less digits than its factorization.

23121000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3567 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 23121000200 its reverse (200012132), we get a palindrome (23321012332).

The spelling of 23121000200 in words is "twenty-three billion, one hundred twenty-one million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 173 200 211 346 422 692 844 865 1055 1384 1688 1730 2110 3167 3460 4220 4325 5275 6334 6920 8440 8650 10550 12668 15835 17300 21100 25336 31670 34600 36503 42200 63340 73006 79175 126680 146012 158350 182515 292024 316700 365030 547891 633400 668237 730060 912575 1095782 1336474 1460120 1825150 2191564 2672948 2739455 3341185 3650300 4383128 5345896 5478910 6682370 7300600 10957820 13364740 13697275 16705925 21915640 26729480 27394550 33411850 54789100 66823700 109578200 115605001 133647400 231210002 462420004 578025005 924840008 1156050010 2312100020 2890125025 4624200040 5780250050 11560500100 23121000200