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211333401312 = 253111889105943
BaseRepresentation
bin1100010011010001110…
…0111100101011100000
3202012111012002010100120
43010310130330223200
511430302322320222
6241030224120240
721161016162225
oct3046434745340
9665435063316
10211333401312
1181698217370
1234b5b166080
1316c0c33a7b7
14a32b37b94c
15576d41e15c
hex313473cae0

211333401312 has 96 divisors (see below), whose sum is σ = 605508099840. Its totient is φ = 64005918720.

The previous prime is 211333401271. The next prime is 211333401361. The reversal of 211333401312 is 213104333112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1941813 + ... + 2047755.

It is an arithmetic number, because the mean of its divisors is an integer number (6307376040).

Almost surely, 2211333401312 is an apocalyptic number.

211333401312 is a gapful number since it is divisible by the number (22) 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 211333401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302754049920).

211333401312 is an abundant number, since it is smaller than the sum of its proper divisors (394174698528).

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

211333401312 is a wasteful number, since it uses less digits than its factorization.

211333401312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107856 (or 107848 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 211333401312 its reverse (213104333112), we get a palindrome (424437734424).

The spelling of 211333401312 in words is "two hundred eleven billion, three hundred thirty-three million, four hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1889 3778 5667 7556 11334 15112 20779 22668 30224 41558 45336 60448 62337 83116 90672 105943 124674 166232 181344 211886 249348 317829 332464 423772 498696 635658 664928 847544 997392 1165373 1271316 1695088 1994784 2330746 2542632 3390176 3496119 4661492 5085264 6992238 9322984 10170528 13984476 18645968 27968952 37291936 55937904 111875808 200126327 400252654 600378981 800505308 1200757962 1601010616 2201389597 2401515924 3202021232 4402779194 4803031848 6404042464 6604168791 8805558388 9606063696 13208337582 17611116776 19212127392 26416675164 35222233552 52833350328 70444467104 105666700656 211333401312