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1033002213312 = 26347157972497
BaseRepresentation
bin11110000100000111011…
…10101101111111000000
310122202100200220120021210
433002003232231333000
5113411042031311222
62110315450250120
7134426520636246
oct17020356557700
93582320816253
101033002213312
11369103901253
12148252426940
137654763b704
1437dd74b2796
151bd0dc1ed0c
hexf083badfc0

1033002213312 has 112 divisors (see below), whose sum is σ = 2793110146560. Its totient is φ = 336789737472.

The previous prime is 1033002213311. The next prime is 1033002213319. The reversal of 1033002213312 is 2133122003301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033002213311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14212648 + ... + 14285144.

Almost surely, 21033002213312 is an apocalyptic number.

1033002213312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1033002213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396555073280).

1033002213312 is an abundant number, since it is smaller than the sum of its proper divisors (1760107933248).

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

1033002213312 is a wasteful number, since it uses less digits than its factorization.

1033002213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74138 (or 74128 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1033002213312 its reverse (2133122003301), we get a palindrome (3166124216613).

The spelling of 1033002213312 in words is "one trillion, thirty-three billion, two million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 1579 2256 3008 3158 4512 4737 6316 9024 9474 12632 18948 25264 37896 50528 72497 74213 75792 101056 144994 148426 151584 217491 222639 289988 296852 303168 434982 445278 579976 593704 869964 890556 1159952 1187408 1739928 1781112 2319904 2374816 3407359 3479856 3562224 4639808 4749632 6814718 6959712 7124448 10222077 13629436 13919424 14248896 20444154 27258872 40888308 54517744 81776616 109035488 114472763 163553232 218070976 228945526 327106464 343418289 457891052 654212928 686836578 915782104 1373673156 1831564208 2747346312 3663128416 5380219861 5494692624 7326256832 10760439722 10989385248 16140659583 21520879444 21978770496 32281319166 43041758888 64562638332 86083517776 129125276664 172167035552 258250553328 344334071104 516501106656 1033002213312