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153032633112 = 233233183107747
BaseRepresentation
bin1000111010000101110…
…1001010101100011000
3112122000002220020102110
42032201131022230120
510001402323224422
6154145140232320
714025201630132
oct2164135125430
9478002806373
10153032633112
115999aa28307
12257aa39b6a0
131157a94b318
14759a450052
153ea9e6c60c
hex23a174ab18

153032633112 has 128 divisors (see below), whose sum is σ = 417062338560. Its totient is φ = 46649708160.

The previous prime is 153032633093. The next prime is 153032633233. The reversal of 153032633112 is 211336230351.

It is a self number, because there is not a number n which added to its sum of digits gives 153032633112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1366423 + ... + 1474169.

It is an arithmetic number, because the mean of its divisors is an integer number (3258299520).

Almost surely, 2153032633112 is an apocalyptic number.

153032633112 is a gapful number since it is divisible by the number (12) 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 153032633112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208531169280).

153032633112 is an abundant number, since it is smaller than the sum of its proper divisors (264029705448).

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

153032633112 is a wasteful number, since it uses less digits than its factorization.

153032633112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107893 (or 107889 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

Adding to 153032633112 its reverse (211336230351), we get a palindrome (364368863463).

The spelling of 153032633112 in words is "one hundred fifty-three billion, thirty-two million, six hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 31 46 62 69 83 92 93 124 138 166 184 186 248 249 276 332 372 498 552 664 713 744 996 1426 1909 1992 2139 2573 2852 3818 4278 5146 5704 5727 7636 7719 8556 10292 11454 15272 15438 17112 20584 22908 30876 45816 59179 61752 107747 118358 177537 215494 236716 323241 355074 430988 473432 646482 710148 861976 1292964 1420296 2478181 2585928 3340157 4956362 6680314 7434543 8943001 9912724 10020471 13360628 14869086 17886002 19825448 20040942 26721256 26829003 29738172 35772004 40081884 53658006 59476344 71544008 76823611 80163768 107316012 153647222 205689023 214632024 230470833 277233031 307294444 411378046 460941666 554466062 614588888 617067069 822756092 831699093 921883332 1108932124 1234134138 1645512184 1663398186 1843766664 2217864248 2468268276 3326796372 4936536552 6376359713 6653592744 12752719426 19129079139 25505438852 38258158278 51010877704 76516316556 153032633112