Search a number
-
+
33023141011122 = 2323318539049583
BaseRepresentation
bin1111000001000110011001…
…00101101101111010110010
311022220222111110212012102020
413200203030211231322302
513312022343044323442
6154122342130532310
76645562135114113
oct740431445557262
9138828443765366
1033023141011122
11a582043209a09
123854133137096
1315570b8300932
1482248579a20a
153c401add39ec
hex1e08cc96deb2

33023141011122 has 64 divisors (see below), whose sum is σ = 71224425086976. Its totient is φ = 10177521900480.

The previous prime is 33023141011121. The next prime is 33023141011219. The reversal of 33023141011122 is 22111014132033.

It is a junction number, because it is equal to n+sod(n) for n = 33023141011092 and 33023141011101.

It is not an unprimeable number, because it can be changed into a prime (33023141011121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 875658 + ... + 8173925.

It is an arithmetic number, because the mean of its divisors is an integer number (1112881641984).

Almost surely, 233023141011122 is an apocalyptic number.

33023141011122 is an abundant number, since it is smaller than the sum of its proper divisors (38201284075854).

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

33023141011122 is a wasteful number, since it uses less digits than its factorization.

33023141011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9050495.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 33023141011122 its reverse (22111014132033), we get a palindrome (55134155143155).

The spelling of 33023141011122 in words is "thirty-three trillion, twenty-three billion, one hundred forty-one million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 23 31 46 62 69 93 138 186 713 853 1426 1706 2139 2559 4278 5118 19619 26443 39238 52886 58857 79329 117714 158658 608189 1216378 1824567 3649134 9049583 18099166 27148749 54297498 208140409 280537073 416280818 561074146 624421227 841611219 1248842454 1683222438 6452352679 7719294299 12904705358 15438588598 19357058037 23157882897 38714116074 46315765794 177543768877 239298123269 355087537754 478596246538 532631306631 717894369807 1065262613262 1435788739614 5503856835187 11007713670374 16511570505561 33023141011122