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10202943362128 = 24112231619141529
BaseRepresentation
bin1001010001111000111011…
…0100001001010001010000
31100010101120122222020002221
42110132032310021101100
52314131112000042003
633411100101350424
72102065306432066
oct224361664112120
940111518866087
1010202943362128
1132840535a0800
121189495108414
135901971bb39a
14273b7a0b2036
1512a6069be7bd
hex9478ed09450

10202943362128 has 120 divisors (see below), whose sum is σ = 22687576027200. Its totient is φ = 4433291005440.

The previous prime is 10202943362113. The next prime is 10202943362141. The reversal of 10202943362128 is 82126334920201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72020068 + ... + 72161596.

It is an arithmetic number, because the mean of its divisors is an integer number (189063133560).

Almost surely, 210202943362128 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 10202943362128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11343788013600).

10202943362128 is an abundant number, since it is smaller than the sum of its proper divisors (12484632665072).

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

10202943362128 is a wasteful number, since it uses less digits than its factorization.

10202943362128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143201 (or 143184 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 10202943362128 in words is "ten trillion, two hundred two billion, nine hundred forty-three million, three hundred sixty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 121 176 184 242 253 368 484 506 968 1012 1619 1936 2024 2783 3238 4048 5566 6476 11132 12952 17809 22264 25904 35618 37237 44528 71236 74474 141529 142472 148948 195899 283058 284944 297896 391798 409607 566116 595792 783596 819214 1132232 1556819 1567192 1638428 2264464 3113638 3134384 3255167 3276856 4505677 6227276 6510334 6553712 9011354 12454552 13020668 17125009 18022708 24909104 26041336 34250018 35806837 36045416 52082672 68500036 71613674 72090832 137000072 143227348 229135451 274000144 286454696 393875207 458270902 572909392 787750414 916541804 1575500828 1833083608 2520489961 3151001656 3666167216 5040979922 5270115373 6302003312 10081959844 10540230746 20163919688 21080461492 27725389571 40327839376 42160922984 55450779142 57971269103 84321845968 110901558284 115942538206 221803116568 231885076412 443606233136 463770152824 637683960133 927540305648 1275367920266 2550735840532 5101471681064 10202943362128