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202303023333112 = 2313192573541112501
BaseRepresentation
bin101101111111111001010111…
…110101111011111011111000
3222112021222110112100011122001
4231333321113311323323320
5203004013042433124422
61554132420444110344
760416624336541412
oct5577712765737370
9875258415304561
10202303023333112
1159507259708339
121a8338212353b4
1388b6129b15950
1437d5738d739b2
15185c574d7d227
hexb7fe57d7bef8

202303023333112 has 128 divisors (see below), whose sum is σ = 431795186222400. Its totient is φ = 88086528000000.

The previous prime is 202303023333107. The next prime is 202303023333113. The reversal of 202303023333112 is 211333320303202.

It is a super-2 number, since 2×2023030233331122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202303023333113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1798176862 + ... + 1798289362.

Almost surely, 2202303023333112 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 202303023333112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215897593111200).

202303023333112 is an abundant number, since it is smaller than the sum of its proper divisors (229492162889288).

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

202303023333112 is a wasteful number, since it uses less digits than its factorization.

202303023333112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116337 (or 116333 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 202303023333112 its reverse (211333320303202), we get a palindrome (413636343636314).

The spelling of 202303023333112 in words is "two hundred two trillion, three hundred three billion, twenty-three million, three hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 257 494 514 988 1028 1976 2056 3341 3541 4883 6682 7082 9766 13364 14164 19532 26728 28328 39064 46033 63479 67279 92066 112501 126958 134558 184132 225002 253916 269116 368264 450004 507832 538232 874627 900008 910037 1462513 1749254 1820074 2137519 2925026 3498508 3640148 4275038 5850052 6997016 7280296 8550076 11700104 11830481 17100152 17290703 23660962 27787747 28912757 34581406 47321924 55575494 57825514 69162812 94643848 111150988 115651028 138325624 222301976 224779139 231302056 375865841 398366041 449558278 549342383 751731682 796732082 899116556 1098684766 1503463364 1593464164 1798233112 2197369532 3006926728 3186928328 4394739064 5178758533 7141450979 7568954779 10357517066 14282901958 15137909558 20715034132 28565803916 30275819116 41430068264 57131607832 60551638232 98396412127 102380072537 196792824254 204760145074 393585648508 409520290148 787171297016 819040580296 1330940942981 1945221378203 2661881885962 3890442756406 5323763771924 7780885512812 10647527543848 15561771025624 25287877916639 50575755833278 101151511666556 202303023333112