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1221102000 = 24335322613
BaseRepresentation
bin100100011001000…
…1000100110110000
310011002201102001000
41020302020212300
510000100231000
6321100242000
742155124066
oct11062104660
93132642030
101221102000
1157730a008
122a0b40300
13165ca2381
14b8264036
1572308000
hex48c889b0

1221102000 has 160 divisors (see below), whose sum is σ = 4374452160. Its totient is φ = 325612800.

The previous prime is 1221101963. The next prime is 1221102007. The reversal of 1221102000 is 2011221.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1221102007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42694 + ... + 65306.

It is an arithmetic number, because the mean of its divisors is an integer number (27340326).

Almost surely, 21221102000 is an apocalyptic number.

1221102000 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 1221102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187226080).

1221102000 is an abundant number, since it is smaller than the sum of its proper divisors (3153350160).

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

1221102000 is a wasteful number, since it uses less digits than its factorization.

1221102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22645 (or 22623 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1221102000 is about 34944.2699165400. The cubic root of 1221102000 is about 1068.8513600389.

Adding to 1221102000 its reverse (2011221), we get a palindrome (1223113221).

The spelling of 1221102000 in words is "one billion, two hundred twenty-one million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 125 135 144 150 180 200 216 225 240 250 270 300 360 375 400 432 450 500 540 600 675 720 750 900 1000 1080 1125 1200 1350 1500 1800 2000 2160 2250 2700 3000 3375 3600 4500 5400 6000 6750 9000 10800 13500 18000 22613 27000 45226 54000 67839 90452 113065 135678 180904 203517 226130 271356 339195 361808 407034 452260 542712 565325 610551 678390 814068 904520 1017585 1085424 1130650 1221102 1356780 1628136 1695975 1809040 2035170 2261300 2442204 2713560 2826625 3052755 3256272 3391950 4070340 4522600 4884408 5087925 5427120 5653250 6105510 6783900 8140680 8479875 9045200 9768816 10175850 11306500 12211020 13567800 15263775 16281360 16959750 20351700 22613000 24422040 25439625 27135600 30527550 33919500 40703400 45226000 48844080 50879250 61055100 67839000 76318875 81406800 101758500 122110200 135678000 152637750 203517000 244220400 305275500 407034000 610551000 1221102000