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2021332102432 = 251945713215507
BaseRepresentation
bin11101011010100000110…
…010000010110100100000
321011020102002221221012221
4131122200302002310200
5231104142004234212
64144330454000424
7266015331245356
oct35324062026440
97136362857187
102021332102432
1170a273304105
122878b8046114
131187c2c06ba6
146db93a517d6
15378a5b7a807
hex1d6a0c82d20

2021332102432 has 96 divisors (see below), whose sum is σ = 4202051878080. Its totient is φ = 954481397760.

The previous prime is 2021332102399. The next prime is 2021332102453. The reversal of 2021332102432 is 2342012331202.

It is a junction number, because it is equal to n+sod(n) for n = 2021332102397 and 2021332102406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367045023 + ... + 367050529.

It is an arithmetic number, because the mean of its divisors is an integer number (43771373730).

Almost surely, 22021332102432 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 2021332102432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101025939040).

2021332102432 is an abundant number, since it is smaller than the sum of its proper divisors (2180719775648).

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

2021332102432 is a wasteful number, since it uses less digits than its factorization.

2021332102432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7314 (or 7306 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 2021332102432 its reverse (2342012331202), we get a palindrome (4363344433634).

The spelling of 2021332102432 in words is "two trillion, twenty-one billion, three hundred thirty-two million, one hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 457 608 914 1321 1828 2642 3656 5284 5507 7312 8683 10568 11014 14624 17366 21136 22028 25099 34732 42272 44056 50198 69464 88112 100396 104633 138928 176224 200792 209266 277856 401584 418532 603697 803168 837064 1207394 1674128 2414788 2516699 3348256 4829576 5033398 7274747 9659152 10066796 11470243 14549494 19318304 20133592 22940486 29098988 40267184 45880972 47817281 58197976 80534368 91761944 95634562 116395952 138220193 183523888 191269124 232791904 276440386 367047776 382538248 552880772 765076496 1105761544 1530152992 2211523088 3324559379 4423046176 6649118758 13298237516 26596475032 53192950064 63166628201 106385900128 126333256402 252666512804 505333025608 1010666051216 2021332102432