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32312220321012 = 22329157750778781
BaseRepresentation
bin1110101100011010001100…
…11010100000010011110100
311020102000111012011021011020
413112031012122200103310
513213400411400233022
6152420010141141140
76543323641004652
oct726150632402364
9136360435137136
1032312220321012
11a328598aa2195
12375a3a925a7b0
13150504c4b75a8
147d9cc3d4bdd2
153b07ad20635c
hex1d63466a04f4

32312220321012 has 96 divisors (see below), whose sum is σ = 78503250376320. Its totient is φ = 10331589864960.

The previous prime is 32312220320969. The next prime is 32312220321071. The reversal of 32312220321012 is 21012302221323.

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, 410113062 + ... + 410191842.

It is an arithmetic number, because the mean of its divisors is an integer number (817742191420).

Almost surely, 232312220321012 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 32312220321012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39251625188160).

32312220321012 is an abundant number, since it is smaller than the sum of its proper divisors (46191030055308).

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

32312220321012 is a wasteful number, since it uses less digits than its factorization.

32312220321012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86481 (or 86479 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 32312220321012 its reverse (21012302221323), we get a palindrome (53324522542335).

The spelling of 32312220321012 in words is "thirty-two trillion, three hundred twelve billion, two hundred twenty million, three hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 157 174 314 348 471 628 942 1884 4553 7507 9106 13659 15014 18212 22521 27318 30028 45042 54636 78781 90084 157562 217703 236343 315124 435406 472686 653109 870812 945372 1178599 1306218 2284649 2357198 2612436 3535797 4569298 4714396 6853947 7071594 9138596 12368617 13707894 14143188 24737234 27415788 34179371 37105851 49474468 68358742 74211702 102538113 136717484 148423404 205076226 358689893 410152452 591408967 717379786 1076069679 1182817934 1434759572 1774226901 2152139358 2365635868 3548453802 4304278716 7096907604 17150860043 34301720086 51452580129 68603440172 92851207819 102905160258 185702415638 205810320516 278553623457 371404831276 557107246914 1114214493828 2692685026751 5385370053502 8078055080253 10770740107004 16156110160506 32312220321012