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133311011022 = 232722319933023
BaseRepresentation
bin111110000100111110…
…1001001100011001110
3110202002200012000212200
41330021331021203032
54141010104323042
6141124153342330
712426366616500
oct1741175114316
9422080160780
10133311011022
115159a654782
1221a057079a6
13c756b40957
14664910dd70
15370388dc4c
hex1f09f498ce

133311011022 has 144 divisors (see below), whose sum is σ = 352379289600. Its totient is φ = 36248645664.

The previous prime is 133311011017. The next prime is 133311011027. The reversal of 133311011022 is 220110113331.

It is an interprime number because it is at equal distance from previous prime (133311011017) and next prime (133311011027).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133311010986 and 133311011004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133311011027) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4020403 + ... + 4053425.

It is an arithmetic number, because the mean of its divisors is an integer number (2447078400).

Almost surely, 2133311011022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133311011022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176189644800).

133311011022 is an abundant number, since it is smaller than the sum of its proper divisors (219068278578).

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

133311011022 is a wasteful number, since it uses less digits than its factorization.

133311011022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33267 (or 33257 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 133311011022 its reverse (220110113331), we get a palindrome (353421124353).

The spelling of 133311011022 in words is "one hundred thirty-three billion, three hundred eleven million, eleven thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 49 63 69 98 126 138 147 161 199 207 294 322 398 414 441 483 597 882 966 1127 1194 1393 1449 1791 2254 2786 2898 3381 3582 4179 4577 6762 8358 9154 9751 10143 12537 13731 19502 20286 25074 27462 29253 32039 33023 41193 58506 64078 66046 82386 87759 96117 99069 175518 192234 198138 224273 231161 288351 297207 448546 462322 576702 594414 672819 693483 759529 1345638 1386966 1519058 1618127 2018457 2080449 2278587 3236254 4036914 4160898 4557174 4854381 5316703 6571577 6835761 9708762 10633406 13143154 13671522 14563143 15950109 19714731 29126286 31900218 37216921 39429462 46001039 47850327 59144193 74433842 92002078 95700654 111650763 118288386 138003117 151146271 223301526 276006234 302292542 322007273 334952289 414009351 453438813 644014546 669904578 828018702 906877626 966021819 1058023897 1360316439 1932043638 2116047794 2720632878 2898065457 3174071691 5796130914 6348143382 7406167279 9522215073 14812334558 19044430146 22218501837 44437003674 66655505511 133311011022