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10215062252340 = 22351147932311831
BaseRepresentation
bin1001010010100110000100…
…1010000010101100110100
31100011112212020210122011120
42110221201022002230310
52314330421414033330
633420422415303540
72103004523335401
oct224514112025464
940145766718146
1010215062252340
113289202376350
12118b8b781abb0
13591378b7b93a
142745a97db2a8
1512aab58c6c10
hex94a61282b34

10215062252340 has 96 divisors (see below), whose sum is σ = 31267513589760. Its totient is φ = 2471208758400.

The previous prime is 10215062252327. The next prime is 10215062252357. The reversal of 10215062252340 is 4325226051201.

It is a happy number.

It is a super-3 number, since 3×102150622523403 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15839776 + ... + 16472055.

It is an arithmetic number, because the mean of its divisors is an integer number (325703266560).

Almost surely, 210215062252340 is an apocalyptic number.

10215062252340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10215062252340 is an abundant number, since it is smaller than the sum of its proper divisors (21052451337420).

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

10215062252340 is a wasteful number, since it uses less digits than its factorization.

10215062252340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32312333 (or 32312331 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 10215062252340 in words is "ten trillion, two hundred fifteen billion, sixty-two million, two hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 479 660 958 1437 1916 2395 2874 4790 5269 5748 7185 9580 10538 14370 15807 21076 26345 28740 31614 52690 63228 79035 105380 158070 316140 32311831 64623662 96935493 129247324 161559155 193870986 323118310 355430141 387741972 484677465 646236620 710860282 969354930 1066290423 1421720564 1777150705 1938709860 2132580846 3554301410 4265161692 5331452115 7108602820 10662904230 15477367049 21325808460 30954734098 46432101147 61909468196 77386835245 92864202294 154773670490 170251037539 185728404588 232160505735 309547340980 340502075078 464321011470 510753112617 681004150156 851255187695 928642022940 1021506225234 1702510375390 2043012450468 2553765563085 3405020750780 5107531126170 10215062252340