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33011221140 = 2234576126777
BaseRepresentation
bin11110101111100111…
…110100001010010100
310011012121102210020000
4132233213310022110
51020101333034030
623055401011300
72246022515142
oct365747641224
9104177383200
1033011221140
1112aaaa79047
126493483b30
1331611a7c61
141852332592
15cd3187860
hex7af9f4294

33011221140 has 120 divisors (see below), whose sum is σ = 103697376552. Its totient is φ = 8791096320.

The previous prime is 33011221121. The next prime is 33011221147. The reversal of 33011221140 is 4112211033.

33011221140 is a `hidden beast` number, since 3 + 301 + 1 + 221 + 140 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1900611216 + 31110609924 = 43596^2 + 176382^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33011221147) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1219432 + ... + 1246208.

Almost surely, 233011221140 is an apocalyptic number.

33011221140 is a gapful number since it is divisible by the number (30) 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 33011221140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51848688276).

33011221140 is an abundant number, since it is smaller than the sum of its proper divisors (70686155412).

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

33011221140 is a wasteful number, since it uses less digits than its factorization.

33011221140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27559 (or 27548 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 33011221140 its reverse (4112211033), we get a palindrome (37123432173).

The spelling of 33011221140 in words is "thirty-three billion, eleven million, two hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 761 810 1522 1620 2283 3044 3805 4566 6849 7610 9132 11415 13698 15220 20547 22830 26777 27396 34245 41094 45660 53554 61641 68490 80331 82188 102735 107108 123282 133885 136980 160662 205470 240993 246564 267770 308205 321324 401655 410940 481986 535540 616410 722979 803310 963972 1204965 1232820 1445958 1606620 2168937 2409930 2891916 3614895 4337874 4819860 7229790 8675748 10844685 14459580 20377297 21689370 40754594 43378740 61131891 81509188 101886485 122263782 183395673 203772970 244527564 305659455 366791346 407545940 550187019 611318910 733582692 916978365 1100374038 1222637820 1650561057 1833956730 2200748076 2750935095 3301122114 3667913460 5501870190 6602244228 8252805285 11003740380 16505610570 33011221140