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31201033032 = 23331317896211
BaseRepresentation
bin11101000011101110…
…011111101101001000
32222112110020200222000
4131003232133231020
51002344431024112
622200014231000
72153122255611
oct350356375510
988473220860
1031201033032
1112261195a14
1260691b5460
132c3315b830
14171db66c08
15c292ba7dc
hex743b9fb48

31201033032 has 128 divisors (see below), whose sum is σ = 93403632000. Its totient is φ = 9593406720.

The previous prime is 31201033021. The next prime is 31201033033. The reversal of 31201033032 is 23033010213.

It is a super-2 number, since 2×312010330322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31201032996 and 31201033014.

It is not an unprimeable number, because it can be changed into a prime (31201033033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5020407 + ... + 5026617.

It is an arithmetic number, because the mean of its divisors is an integer number (729715875).

Almost surely, 231201033032 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 31201033032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46701816000).

31201033032 is an abundant number, since it is smaller than the sum of its proper divisors (62202598968).

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

31201033032 is a wasteful number, since it uses less digits than its factorization.

31201033032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8028 (or 8018 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31201033032 its reverse (23033010213), we get a palindrome (54234043245).

The spelling of 31201033032 in words is "thirty-one billion, two hundred one million, thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 1789 2808 3578 5367 6211 7156 10734 12422 14312 16101 18633 21468 23257 24844 32202 37266 42936 46514 48303 49688 55899 64404 69771 74532 80743 93028 96606 111798 128808 139542 149064 161486 167697 186056 193212 209313 223596 242229 279084 322972 335394 386424 418626 447192 484458 558168 627939 645944 670788 726687 837252 968916 1255878 1341576 1453374 1674504 1937832 2180061 2511756 2906748 4360122 5023512 5813496 8720244 11111479 17440488 22222958 33334437 44445916 66668874 88891832 100003311 133337748 144449227 200006622 266675496 288898454 300009933 400013244 433347681 577796908 600019866 800026488 866695362 1155593816 1200039732 1300043043 1733390724 2400079464 2600086086 3466781448 3900129129 5200172172 7800258258 10400344344 15600516516 31201033032