Search a number
-
+
3213111023232 = 273115197146369
BaseRepresentation
bin101110110000011100010…
…101110101011010000000
3102101011121020020221122120
4232300130111311122000
5410120422410220412
610500025520204240
7451065613031445
oct56603425653200
912334536227576
103213111023232
111029744452770
1243a880469680
131a3cc2223a96
14b17303a39cc
15588a8c4ab8c
hex2ec1c575680

3213111023232 has 128 divisors (see below), whose sum is σ = 9312574622400. Its totient is φ = 973476003840.

The previous prime is 3213111023231. The next prime is 3213111023237. The reversal of 3213111023232 is 2323201113123.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×32131110232322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3213111023231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21878944 + ... + 22025312.

Almost surely, 23213111023232 is an apocalyptic number.

3213111023232 is a gapful number since it is divisible by the number (32) 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 3213111023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656287311200).

3213111023232 is an abundant number, since it is smaller than the sum of its proper divisors (6099463599168).

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

3213111023232 is a wasteful number, since it uses less digits than its factorization.

3213111023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151594 (or 151582 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 3213111023232 its reverse (2323201113123), we get a palindrome (5536312136355).

The spelling of 3213111023232 in words is "three trillion, two hundred thirteen billion, one hundred eleven million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 5197 10394 15591 20788 31182 41576 57167 62364 83152 114334 124728 146369 166304 171501 228668 249456 292738 332608 343002 439107 457336 498912 585476 665216 686004 878214 914672 997824 1170952 1372008 1610059 1756428 1829344 1995648 2341904 2744016 3220118 3512856 3658688 4683808 4830177 5488032 6440236 7025712 7317376 9367616 9660354 10976064 12880472 14051424 18735232 19320708 21952128 25760944 28102848 38641416 51521888 56205696 77282832 103043776 154565664 206087552 309131328 618262656 760679693 1521359386 2282039079 3042718772 4564078158 6085437544 8367476623 9128156316 12170875088 16734953246 18256312632 24341750176 25102429869 33469906492 36512625264 48683500352 50204859738 66939812984 73025250528 97367000704 100409719476 133879625968 146050501056 200819438952 267759251936 292101002112 401638877904 535518503872 803277755808 1071037007744 1606555511616 3213111023232