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2212113321 = 391117601
BaseRepresentation
bin1000001111011010…
…0010101110101001
312201011111000000000
42003312202232221
514012300111241
61003301133213
7105550436655
oct20366425651
95634430000
102212113321
11a35753530
125189ba209
132933b30c2
1416db11a65
15ce310eb6
hex83da2ba9

2212113321 has 80 divisors (see below), whose sum is σ = 3839064768. Its totient is φ = 1259712000.

The previous prime is 2212113313. The next prime is 2212113329. The reversal of 2212113321 is 1233112122.

2212113321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2212113313) and next prime (2212113329).

It is not a de Polignac number, because 2212113321 - 23 = 2212113313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2212113294 and 2212113303.

It is not an unprimeable number, because it can be changed into a prime (2212113329) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3680421 + ... + 3681021.

Almost surely, 22212113321 is an apocalyptic number.

It is an amenable number.

2212113321 is a deficient number, since it is larger than the sum of its proper divisors (1626951447).

2212113321 is an frugal number, since it uses more digits than its factorization.

2212113321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 632 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2212113321 is about 47033.1087745643. The cubic root of 2212113321 is about 1302.9741218206.

Adding to 2212113321 its reverse (1233112122), we get a palindrome (3445225443).

It can be divided in two parts, 2212 and 113321, that multiplied together give a palindrome (250666052).

The spelling of 2212113321 in words is "two billion, two hundred twelve million, one hundred thirteen thousand, three hundred twenty-one".

Divisors: 1 3 9 11 17 27 33 51 81 99 153 187 243 297 459 561 601 729 891 1377 1683 1803 2187 2673 4131 5049 5409 6561 6611 8019 10217 12393 15147 16227 19683 19833 24057 30651 37179 45441 48681 59499 72171 91953 111537 112387 136323 146043 178497 216513 275859 334611 337161 408969 438129 535491 827577 1011483 1226907 1314387 1606473 2482731 3034449 3680721 3943161 4819419 7448193 9103347 11829483 14458257 22344579 27310041 43374771 67033737 81930123 130124313 201101211 245790369 737371107 2212113321