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3153312420 = 2235233761757
BaseRepresentation
bin1011101111110011…
…1011101010100100
322010202111212102220
42323330323222210
522424221444140
61240522232340
7141066466446
oct27374735244
98122455386
103153312420
111378a65325
127400556b0
133b33a304b
1421cb14496
15136c79bd0
hexbbf3baa4

3153312420 has 96 divisors (see below), whose sum is σ = 9462313728. Its totient is φ = 782572032.

The previous prime is 3153312401. The next prime is 3153312521. The reversal of 3153312420 is 242133513.

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, 20182 + ... + 81938.

It is an arithmetic number, because the mean of its divisors is an integer number (98565768).

Almost surely, 23153312420 is an apocalyptic number.

3153312420 is a gapful number since it is divisible by the number (30) 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 3153312420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4731156864).

3153312420 is an abundant number, since it is smaller than the sum of its proper divisors (6309001308).

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

3153312420 is a wasteful number, since it uses less digits than its factorization.

3153312420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61829 (or 61827 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3153312420 is about 56154.3624307141. The cubic root of 3153312420 is about 1466.4108560967.

Adding to 3153312420 its reverse (242133513), we get a palindrome (3395445933).

The spelling of 3153312420 in words is "three billion, one hundred fifty-three million, three hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 37 46 60 69 74 92 111 115 138 148 185 222 230 276 345 370 444 460 555 690 740 851 1110 1380 1702 2220 2553 3404 4255 5106 8510 10212 12765 17020 25530 51060 61757 123514 185271 247028 308785 370542 617570 741084 926355 1235140 1420411 1852710 2285009 2840822 3705420 4261233 4570018 5681644 6855027 7102055 8522466 9140036 11425045 13710054 14204110 17044932 21306165 22850090 27420108 28408220 34275135 42612330 45700180 52555207 68550270 85224660 105110414 137100540 157665621 210220828 262776035 315331242 525552070 630662484 788328105 1051104140 1576656210 3153312420