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1216116330 = 2351113674231
BaseRepresentation
bin100100001111100…
…0111011001101010
310010202100002222120
41020133013121222
54442311210310
6320401332110
742064550442
oct11037073152
93122302876
101216116330
11574514220
1229b337036
13164c47c80
14b7727122
1571b70b70
hex487c766a

1216116330 has 128 divisors (see below), whose sum is σ = 3480938496. Its totient is φ = 268012800.

The previous prime is 1216116289. The next prime is 1216116347. The reversal of 1216116330 is 336116121.

It is a self number, because there is not a number n which added to its sum of digits gives 1216116330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 285315 + ... + 289545.

It is an arithmetic number, because the mean of its divisors is an integer number (27194832).

Almost surely, 21216116330 is an apocalyptic number.

1216116330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1216116330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740469248).

1216116330 is an abundant number, since it is smaller than the sum of its proper divisors (2264822166).

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

1216116330 is a wasteful number, since it uses less digits than its factorization.

1216116330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4332.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 1216116330 is about 34872.8595042047. The cubic root of 1216116330 is about 1067.3946951539.

The spelling of 1216116330 in words is "one billion, two hundred sixteen million, one hundred sixteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 67 78 110 130 134 143 165 195 201 286 330 335 390 402 429 670 715 737 858 871 1005 1430 1474 1742 2010 2145 2211 2613 3685 4231 4290 4355 4422 5226 7370 8462 8710 9581 11055 12693 13065 19162 21155 22110 25386 26130 28743 42310 46541 47905 55003 57486 63465 93082 95810 110006 126930 139623 143715 165009 232705 275015 279246 283477 287430 330018 465410 550030 566954 605033 698115 825045 850431 1210066 1396230 1417385 1650090 1700862 1815099 2834770 3025165 3118247 3630198 3685201 4252155 6050330 6236494 7370402 8504310 9075495 9354741 11055603 15591235 18150990 18426005 18709482 22111206 31182470 36852010 40537211 46773705 55278015 81074422 93547410 110556030 121611633 202686055 243223266 405372110 608058165 1216116330