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20312021201332 = 227412538398101
BaseRepresentation
bin1001001111001010000101…
…10011101111000110110100
32122220210212200101211111211
410213211002303233012310
510130243004411420312
6111111114055211204
74164331551332410
oct447450263570664
978823780354454
1020312021201332
116521309486873
122340732976b04
13b4455278b313
1450316db39d40
15253567aa23a7
hex127942cef1b4

20312021201332 has 144 divisors (see below), whose sum is σ = 42936259959936. Its totient is φ = 8232112512000.

The previous prime is 20312021201321. The next prime is 20312021201357. The reversal of 20312021201332 is 23310212021302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207003082 + ... + 207101182.

It is an arithmetic number, because the mean of its divisors is an integer number (298168471944).

Almost surely, 220312021201332 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 20312021201332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21468129979968).

20312021201332 is an abundant number, since it is smaller than the sum of its proper divisors (22624238758604).

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

20312021201332 is a wasteful number, since it uses less digits than its factorization.

20312021201332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98330 (or 98287 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 20312021201332 its reverse (23310212021302), we get a palindrome (43622233222634).

The spelling of 20312021201332 in words is "twenty trillion, three hundred twelve billion, twenty-one million, two hundred one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 41 53 82 83 106 164 166 212 287 332 371 574 581 742 1148 1162 1484 1681 2173 2324 3362 3403 4346 4399 6724 6806 8692 8798 11767 13612 15211 17596 23534 23821 30422 30793 47068 47642 60844 61586 89093 95284 98101 123172 139523 178186 180359 196202 279046 356372 360718 392404 558092 623651 686707 721436 976661 1247302 1262513 1373414 1953322 2494604 2525026 2746828 3906644 4022141 5050052 5199353 7394719 8044282 8142383 10398706 14789438 16088564 16284766 20797412 28154987 29578876 32569532 36395471 51763033 56309974 56996681 72790942 103526066 112619948 113993362 145581884 164907781 207052132 213173473 227986724 329815562 333837703 426346946 431546299 659631124 667675406 852693892 863092598 1154354467 1335350812 1492214311 1726185196 2308708934 2336863921 2984428622 3020824093 4617417868 4673727842 5968857244 6041648186 8740112393 9347455684 12083296372 13687345823 17480224786 17693398259 27374691646 34960449572 35386796518 54749383292 61180786751 70773593036 95811420761 122361573502 123853787813 191622841522 244723147004 247707575626 383245683044 495415151252 725429328619 1450858657238 2901717314476 5078005300333 10156010600666 20312021201332