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211022121000 = 23353411715627
BaseRepresentation
bin1100010010000111100…
…1100000100000101000
3202011200111100110001010
43010201321200200220
511424133130333000
6240535304223520
721150216301365
oct3044171404050
9664614313033
10211022121000
1181548538909
1234a92a6aba0
1316b8c9c0472
14a2dbcad46c
155750e32d50
hex3121e60828

211022121000 has 128 divisors (see below), whose sum is σ = 674447679360. Its totient is φ = 54900032000.

The previous prime is 211022120971. The next prime is 211022121043. The reversal of 211022121000 is 121220112.

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

It is an unprimeable number.

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, 734814 + ... + 980813.

It is an arithmetic number, because the mean of its divisors is an integer number (5269122495).

Almost surely, 2211022121000 is an apocalyptic number.

211022121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211022121000 is an abundant number, since it is smaller than the sum of its proper divisors (463425558360).

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

211022121000 is a wasteful number, since it uses less digits than its factorization.

211022121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715692 (or 1715678 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211022121000 its reverse (121220112), we get a palindrome (211143341112).

The spelling of 211022121000 in words is "two hundred eleven billion, twenty-two million, one hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 125 150 164 200 205 246 250 300 328 375 410 492 500 600 615 750 820 984 1000 1025 1230 1500 1640 2050 2460 3000 3075 4100 4920 5125 6150 8200 10250 12300 15375 20500 24600 30750 41000 61500 123000 1715627 3431254 5146881 6862508 8578135 10293762 13725016 17156270 20587524 25734405 34312540 41175048 42890675 51468810 68625080 70340707 85781350 102937620 128672025 140681414 171562700 205875240 211022121 214453375 257344050 281362828 343125400 351703535 422044242 428906750 514688100 562725656 643360125 703407070 844088484 857813500 1029376200 1055110605 1286720250 1406814140 1688176968 1715627000 1758517675 2110221210 2573440500 2813628280 3517035350 4220442420 5146881000 5275553025 7034070700 8440884840 8792588375 10551106050 14068141400 17585176750 21102212100 26377765125 35170353500 42204424200 52755530250 70340707000 105511060500 211022121000