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1213212213100 = 2252172989276503
BaseRepresentation
bin10001101001111001000…
…101010011111101101100
311021222111211211002002101
4101221321011103331230
5124334124311304400
62325201512104444
7153436346442526
oct21517105237554
94258454732071
101213212213100
1142857a736378
12177166395124
138a53692b994
1442a11134a16
1521859aaa56a
hex11a79153f6c

1213212213100 has 144 divisors (see below), whose sum is σ = 2916066484800. Its totient is φ = 436032593920.

The previous prime is 1213212213061. The next prime is 1213212213113. The reversal of 1213212213100 is 13122123121.

It is a super-2 number, since 2×12132122131002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4249449 + ... + 4525951.

It is an arithmetic number, because the mean of its divisors is an integer number (20250461700).

Almost surely, 21213212213100 is an apocalyptic number.

1213212213100 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 1213212213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458033242400).

1213212213100 is an abundant number, since it is smaller than the sum of its proper divisors (1702854271700).

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

1213212213100 is a wasteful number, since it uses less digits than its factorization.

1213212213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276652 (or 276645 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1213212213100 its reverse (13122123121), we get a palindrome (1226334336221).

The spelling of 1213212213100 in words is "one trillion, two hundred thirteen billion, two hundred twelve million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 85 89 100 116 145 170 178 290 340 356 425 445 493 580 725 850 890 986 1450 1513 1700 1780 1972 2225 2465 2581 2900 3026 4450 4930 5162 6052 7565 8900 9860 10324 12325 12905 15130 24650 25810 30260 37825 43877 49300 51620 64525 75650 87754 129050 151300 175508 219385 258100 276503 438770 553006 877540 1096925 1106012 1382515 2193850 2765030 4387700 4700551 5530060 6912575 8018587 9401102 13825150 16037174 18802204 23502755 24608767 27650300 32074348 40092935 47005510 49217534 80185870 94011020 98435068 117513775 123043835 136315979 160371740 200464675 235027550 246087670 272631958 400929350 418349039 470055100 492175340 545263916 615219175 681579895 713654243 801858700 836698078 1230438350 1363159790 1427308486 1673396156 2091745195 2460876700 2726319580 2854616972 3407899475 3568271215 4183490390 6815798950 7136542430 8366980780 10458725975 12132122131 13631597900 14273084860 17841356075 20917451950 24264244262 35682712150 41834903900 48528488524 60660610655 71365424300 121321221310 242642442620 303303053275 606606106550 1213212213100