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211001011032 = 23371499718681
BaseRepresentation
bin1100010010000010100…
…0111110101101011000
3202011122000121221121110
43010200220332231120
511424112224323112
6240533231540320
721146542000320
oct3044050765530
9664560557543
10211001011032
118153762a659
1234a8798a6a0
1316b8850ba66
14a2d9176280
15574e16313c
hex3120a3eb58

211001011032 has 128 divisors (see below), whose sum is σ = 607601088000. Its totient is φ = 59812838400.

The previous prime is 211001011031. The next prime is 211001011033. The reversal of 211001011032 is 230110100112.

It is an interprime number because it is at equal distance from previous prime (211001011031) and next prime (211001011033).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 211001010999 and 211001011017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211001011031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24301732 + ... + 24310412.

It is an arithmetic number, because the mean of its divisors is an integer number (4746883500).

Almost surely, 2211001011032 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 211001011032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303800544000).

211001011032 is an abundant number, since it is smaller than the sum of its proper divisors (396600076968).

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

211001011032 is a wasteful number, since it uses less digits than its factorization.

211001011032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9817 (or 9813 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 211001011032 its reverse (230110100112), we get a palindrome (441111111144).

The spelling of 211001011032 in words is "two hundred eleven billion, one million, eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 149 168 298 447 596 894 971 1043 1192 1788 1942 2086 2913 3129 3576 3884 4172 5826 6258 6797 7768 8344 8681 11652 12516 13594 17362 20391 23304 25032 26043 27188 34724 40782 52086 54376 60767 69448 81564 104172 121534 144679 163128 182301 208344 243068 289358 364602 434037 486136 578716 729204 868074 1012753 1157432 1293469 1458408 1736148 2025506 2586938 3038259 3472296 3880407 4051012 5173876 6076518 7760814 8102024 8429251 9054283 10347752 12153036 15521628 16858502 18108566 24306072 25287753 27162849 31043256 33717004 36217132 50575506 54325698 59004757 67434008 72434264 101151012 108651396 118009514 177014271 202302024 217302792 236019028 354028542 472038056 708057084 1255958399 1416114168 2511916798 3767875197 5023833596 7535750394 8791708793 10047667192 15071500788 17583417586 26375126379 30143001576 35166835172 52750252758 70333670344 105500505516 211001011032