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10032011133240 = 2335195500979987
BaseRepresentation
bin1001000111111100001001…
…1101011100000100111000
31022112001101002211022100210
42101333002131130010320
52303331024322230430
633200350422431120
72053534405444335
oct221770235340470
938461332738323
1010032011133240
113218608829238
1211603302924a0
1357a026095295
142697a26cd98c
15125e503cd2b0
hex91fc275c138

10032011133240 has 128 divisors (see below), whose sum is σ = 31681007136000. Its totient is φ = 2534325055488.

The previous prime is 10032011133187. The next prime is 10032011133241. The reversal of 10032011133240 is 4233111023001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032011133241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125380527 + ... + 125460513.

It is an arithmetic number, because the mean of its divisors is an integer number (247507868250).

Almost surely, 210032011133240 is an apocalyptic number.

10032011133240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032011133240 is an abundant number, since it is smaller than the sum of its proper divisors (21648996002760).

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

10032011133240 is a wasteful number, since it uses less digits than its factorization.

10032011133240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135029 (or 135025 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10032011133240 its reverse (4233111023001), we get a palindrome (14265122156241).

The spelling of 10032011133240 in words is "ten trillion, thirty-two billion, eleven million, one hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 55009 79987 110018 159974 165027 220036 239961 275045 319948 330054 399935 440072 479922 550090 639896 660108 799870 825135 959844 1045171 1100180 1199805 1320216 1519753 1599740 1650270 1919688 2090342 2200360 2399610 3039506 3135513 3199480 3300540 4180684 4559259 4799220 5225855 6079012 6271026 6601080 7598765 8361368 9118518 9598440 10451710 12158024 12542052 15197530 15677565 18237036 20903420 22796295 25084104 30395060 31355130 36474072 41806840 45592590 60790120 62710260 91185180 125420520 182370360 4400004883 8800009766 13200014649 17600019532 22000024415 26400029298 35200039064 44000048830 52800058596 66000073245 83600092777 88000097660 105600117192 132000146490 167200185554 176000195320 250800278331 264000292980 334400371108 418000463885 501600556662 528000585960 668800742216 836000927770 1003201113324 1254001391655 1672001855540 2006402226648 2508002783310 3344003711080 5016005566620 10032011133240