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1133031132222 = 2311317310175109
BaseRepresentation
bin10000011111001101111…
…010110000110000111110
311000022112212222010211020
4100133031322300300332
5122030421432212342
62224301325205010
7144600365501403
oct20371572606076
94008485863736
101133031132222
113a7574599580
12163709a00766
1382ac9135022
143cba63002aa
151e71576d0ec
hex107cdeb0c3e

1133031132222 has 128 divisors (see below), whose sum is σ = 2612414730240. Its totient is φ = 324466560000.

The previous prime is 1133031132209. The next prime is 1133031132239. The reversal of 1133031132222 is 2222311303311.

It is a junction number, because it is equal to n+sod(n) for n = 1133031132192 and 1133031132201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15047604 + ... + 15122712.

It is an arithmetic number, because the mean of its divisors is an integer number (20409490080).

Almost surely, 21133031132222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133031132222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306207365120).

1133031132222 is an abundant number, since it is smaller than the sum of its proper divisors (1479383598018).

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

1133031132222 is a wasteful number, since it uses less digits than its factorization.

1133031132222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75330.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1133031132222 its reverse (2222311303311), we get a palindrome (3355342435533).

The spelling of 1133031132222 in words is "one trillion, one hundred thirty-three billion, thirty-one million, one hundred thirty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 73 93 101 146 186 202 219 303 341 438 606 682 803 1023 1111 1606 2046 2222 2263 2409 3131 3333 4526 4818 6262 6666 6789 7373 9393 13578 14746 18786 22119 24893 34441 44238 49786 68882 74679 75109 81103 103323 149358 150218 162206 206646 225327 228563 243309 450654 457126 486618 685689 826199 1371378 1652398 2328379 2478597 2514193 4656758 4957194 5028386 5482957 6985137 7542579 7586009 10965914 13970274 15085158 15172018 16448871 22758027 25612169 32897742 45516054 51224338 60312527 76836507 83446099 120625054 153673014 166892198 169971667 180937581 235166279 250338297 339943334 361875162 470332558 500676594 509915001 553778657 705498837 1019830002 1107557314 1410997674 1661335971 1869688337 2586829069 3322671942 3739376674 5173658138 5609065011 6091565227 7760487207 11218130022 12183130454 15520974414 17167138367 18274695681 34334276734 36549391362 51501415101 103002830202 188838522037 377677044074 566515566111 1133031132222