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1213102000 = 24531167823
BaseRepresentation
bin100100001001110…
…0111011110110000
310010112122222002201
41020103213132300
54441023231000
6320212552544
742030124345
oct11023473660
93115588081
101213102000
11572845540
1229a322754
13164430c46
14b71807cc
157177796a
hex484e77b0

1213102000 has 160 divisors (see below), whose sum is σ = 3251649024. Its totient is φ = 434016000.

The previous prime is 1213101991. The next prime is 1213102027. The reversal of 1213102000 is 2013121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1473589 + ... + 1474411.

Almost surely, 21213102000 is an apocalyptic number.

1213102000 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 1213102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625824512).

1213102000 is an abundant number, since it is smaller than the sum of its proper divisors (2038547024).

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

1213102000 is a wasteful number, since it uses less digits than its factorization.

1213102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1213102000 is about 34829.6138365041. The cubic root of 1213102000 is about 1066.5120652670.

Adding to 1213102000 its reverse (2013121), we get a palindrome (1215115121).

The spelling of 1213102000 in words is "one billion, two hundred thirteen million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 67 80 88 100 110 125 134 176 200 220 250 268 275 335 400 440 500 536 550 670 737 823 880 1000 1072 1100 1340 1375 1474 1646 1675 2000 2200 2680 2750 2948 3292 3350 3685 4115 4400 5360 5500 5896 6584 6700 7370 8230 8375 9053 11000 11792 13168 13400 14740 16460 16750 18106 18425 20575 22000 26800 29480 32920 33500 36212 36850 41150 45265 55141 58960 65840 67000 72424 73700 82300 90530 92125 102875 110282 134000 144848 147400 164600 181060 184250 205750 220564 226325 275705 294800 329200 362120 368500 411500 441128 452650 551410 606551 724240 737000 823000 882256 905300 1102820 1131625 1213102 1378525 1474000 1646000 1810600 2205640 2263250 2426204 2757050 3032755 3621200 4411280 4526500 4852408 5514100 6065510 6892625 9053000 9704816 11028200 12131020 13785250 15163775 18106000 22056400 24262040 27570500 30327550 48524080 55141000 60655100 75818875 110282000 121310200 151637750 242620400 303275500 606551000 1213102000