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331000112232 = 233328354110009
BaseRepresentation
bin1001101000100010010…
…01001110010001101000
31011122100222002220012000
410310101021032101220
520410342012042412
6412020453051000
732625330350316
oct4642111162150
91148328086160
10331000112232
11118415a30469
1254197326a60
13252a046cc9a
14120403270b6
158923edc4dc
hex4d1124e468

331000112232 has 128 divisors (see below), whose sum is σ = 924491568000. Its totient is φ = 109729313280.

The previous prime is 331000112231. The next prime is 331000112243. The reversal of 331000112232 is 232211000133.

It is a super-2 number, since 2×3310001122322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (331000112231) 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, 33065244 + ... + 33075252.

It is an arithmetic number, because the mean of its divisors is an integer number (7222590375).

Almost surely, 2331000112232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331000112232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462245784000).

331000112232 is an abundant number, since it is smaller than the sum of its proper divisors (593491455768).

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

331000112232 is a wasteful number, since it uses less digits than its factorization.

331000112232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10848 (or 10838 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 331000112232 its reverse (232211000133), we get a palindrome (563211112365).

It can be divided in two parts, 3310001 and 12232, that added together give a palindrome (3322233).

The spelling of 331000112232 in words is "three hundred thirty-one billion, one hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 283 541 566 849 1082 1132 1623 1698 2164 2264 2547 3246 3396 4328 4869 5094 6492 6792 7641 9738 10009 10188 12984 14607 15282 19476 20018 20376 29214 30027 30564 38952 40036 58428 60054 61128 80072 90081 116856 120108 153103 180162 240216 270243 306206 360324 459309 540486 612412 720648 918618 1080972 1224824 1377927 1837236 2161944 2755854 2832547 3674472 4133781 5414869 5511708 5665094 8267562 8497641 10829738 11023416 11330188 16244607 16535124 16995282 21659476 22660376 25492923 32489214 33070248 33990564 43318952 48733821 50985846 64978428 67981128 76478769 97467642 101971692 129956856 146201463 152957538 194935284 203943384 292402926 305915076 389870568 584805852 611830152 1169611704 1532407927 3064815854 4597223781 6129631708 9194447562 12259263416 13791671343 18388895124 27583342686 36777790248 41375014029 55166685372 82750028058 110333370744 165500056116 331000112232