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202034030221152 = 253211874259138763
BaseRepresentation
bin101101111011111110110110…
…100110101001011101100000
3222111100021010221100020222200
4231323332312212221131200
5202440111143214034102
61553405052512133200
760361322416034403
oct5573766646513540
9874307127306880
10202034030221152
1159413173052a48
121a7ab66bb37200
13889695bb5b58c
1437c66dbc9bd3a
15185557e8da51c
hexb7bfb69a9760

202034030221152 has 144 divisors (see below), whose sum is σ = 575157452950080. Its totient is φ = 67271657746176.

The previous prime is 202034030221043. The next prime is 202034030221157. The reversal of 202034030221152 is 251122030430202.

202034030221152 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 340 + 302 + 2 + 1 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202034030221157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1455895323 + ... + 1456034085.

It is an arithmetic number, because the mean of its divisors is an integer number (3994148978820).

Almost surely, 2202034030221152 is an apocalyptic number.

It is an amenable number.

202034030221152 is an abundant number, since it is smaller than the sum of its proper divisors (373123422728928).

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

202034030221152 is a wasteful number, since it uses less digits than its factorization.

202034030221152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144225 (or 144214 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 202034030221152 its reverse (251122030430202), we get a palindrome (453156060651354).

The spelling of 202034030221152 in words is "two hundred two trillion, thirty-four billion, thirty million, two hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1187 2374 3561 4259 4748 7122 8518 9496 10683 12777 14244 17036 18992 21366 25554 28488 34072 37984 38331 42732 51108 56976 68144 76662 85464 102216 113952 136288 138763 153324 170928 204432 277526 306648 341856 408864 416289 555052 613296 832578 1110104 1226592 1248867 1665156 2220208 2497734 3330312 4440416 4995468 5055433 6660624 9990936 10110866 13321248 15166299 19981872 20221732 30332598 39963744 40443464 45498897 60665196 80886928 90997794 121330392 161773856 164711681 181995588 242660784 329423362 363991176 485321568 494135043 590991617 658846724 727982352 988270086 1181983234 1317693448 1455964704 1482405129 1772974851 1976540172 2363966468 2635386896 2964810258 3545949702 3953080344 4727932936 5270773792 5318924553 5929620516 7091899404 7906160688 9455865872 10637849106 11859241032 14183798808 15812321376 18911731744 21275698212 23718482064 28367597616 42551396424 47436964128 56735195232 85102792848 170205585696 701507049379 1403014098758 2104521148137 2806028197516 4209042296274 5612056395032 6313563444411 8418084592548 11224112790064 12627126888822 16836169185096 22448225580128 25254253777644 33672338370192 50508507555288 67344676740384 101017015110576 202034030221152