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1213231000 = 235341127233
BaseRepresentation
bin100100001010000…
…0110111110011000
310010112220112001111
41020110012332120
54441041343000
6320215430104
742031202422
oct11024067630
93115815044
101213231000
11572923453
1229a385334
13164477887
14b71b5812
15717a0cba
hex48506f98

1213231000 has 128 divisors (see below), whose sum is σ = 2943682560. Its totient is φ = 467712000.

The previous prime is 1213230989. The next prime is 1213231009. The reversal of 1213231000 is 1323121.

It is a super-2 number, since 2×12132310002 = 2943858918722000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213231009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5206884 + ... + 5207116.

It is an arithmetic number, because the mean of its divisors is an integer number (22997520).

Almost surely, 21213231000 is an apocalyptic number.

1213231000 is a gapful number since it is divisible by the number (10) 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 1213231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471841280).

1213231000 is an abundant number, since it is smaller than the sum of its proper divisors (1730451560).

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

1213231000 is a wasteful number, since it uses less digits than its factorization.

1213231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1213231000 is about 34831.4656596589. The cubic root of 1213231000 is about 1066.5498678535.

Adding to 1213231000 its reverse (1323121), we get a palindrome (1214554121).

The spelling of 1213231000 in words is "one billion, two hundred thirteen million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 127 164 200 205 233 250 254 328 410 466 500 508 635 820 932 1000 1016 1025 1165 1270 1640 1864 2050 2330 2540 3175 4100 4660 5080 5125 5207 5825 6350 8200 9320 9553 10250 10414 11650 12700 15875 19106 20500 20828 23300 25400 26035 29125 29591 31750 38212 41000 41656 46600 47765 52070 58250 59182 63500 76424 95530 104140 116500 118364 127000 130175 147955 191060 208280 233000 236728 238825 260350 295910 382120 477650 520700 591820 650875 739775 955300 1041400 1183640 1194125 1213231 1301750 1479550 1910600 2388250 2426462 2603500 2959100 3698875 4776500 4852924 5207000 5918200 6066155 7397750 9553000 9705848 12132310 14795500 24264620 29591000 30330775 48529240 60661550 121323100 151653875 242646200 303307750 606615500 1213231000