Search a number
-
+
3213310223032 = 2371313197734487
BaseRepresentation
bin101110110000101000001…
…101101110001010111000
3102101012010010002100101221
4232300220031232022320
5410121324404114112
610500101353521424
7451103552144050
oct56605015561270
912335103070357
103213310223032
1110298369394a8
1243a917113274
131a402458aaa0
14b174ca18560
15588bb497e07
hex2ec2836e2b8

3213310223032 has 128 divisors (see below), whose sum is σ = 7479801584640. Its totient is φ = 1260168099840.

The previous prime is 3213310223029. The next prime is 3213310223051. The reversal of 3213310223032 is 2303220133123.

It is a junction number, because it is equal to n+sod(n) for n = 3213310222988 and 3213310223006.

It is a congruent number.

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, 93157293 + ... + 93191779.

It is an arithmetic number, because the mean of its divisors is an integer number (58435949880).

Almost surely, 23213310223032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3213310223032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739900792320).

3213310223032 is an abundant number, since it is smaller than the sum of its proper divisors (4266491361608).

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

3213310223032 is a wasteful number, since it uses less digits than its factorization.

3213310223032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35621 (or 35617 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 3213310223032 its reverse (2303220133123), we get a palindrome (5516530356155).

The spelling of 3213310223032 in words is "three trillion, two hundred thirteen billion, three hundred ten million, two hundred twenty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 131 182 262 364 524 728 917 977 1048 1703 1834 1954 3406 3668 3908 6812 6839 7336 7816 11921 12701 13624 13678 23842 25402 27356 34487 47684 50804 54712 68974 88907 95368 101608 127987 137948 177814 241409 255974 275896 355628 448331 482818 511948 711256 895909 896662 965636 1023896 1663831 1791818 1793324 1931272 3138317 3327662 3583636 3586648 4517797 6276634 6655324 7167272 9035594 11646817 12553268 13310648 18071188 23293634 25106536 31624579 33693799 36142376 46587268 58731361 63249158 67387598 93174536 117462722 126498316 134775196 234925444 235856593 252996632 269550392 411119527 438019387 469850888 471713186 822239054 876038774 943426372 1644478108 1752077548 1886852744 3066135709 3288956216 3504155096 4413887669 6132271418 8827775338 12264542836 17655550676 24529085672 30897213683 35311101352 57380539697 61794427366 114761079394 123588854732 229522158788 247177709464 401663777879 459044317576 803327555758 1606655111516 3213310223032