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10323133300 = 2252315383757
BaseRepresentation
bin10011001110100111…
…01000001101110100
3222122102210111200101
421213103220031310
5132120210231200
64424204323444
7513550120354
oct114723501564
928572714611
1010323133300
114418159927
122001243584
13c869278cc
146dd038b64
1540643b26a
hex2674e8374

10323133300 has 144 divisors (see below), whose sum is σ = 23875471872. Its totient is φ = 3868300800.

The previous prime is 10323133283. The next prime is 10323133361. The reversal of 10323133300 is 333132301.

10323133300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103231333002 (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 13636522 + ... + 13637278.

It is an arithmetic number, because the mean of its divisors is an integer number (165801888).

Almost surely, 210323133300 is an apocalyptic number.

10323133300 is a gapful number since it is divisible by the number (10) 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 10323133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11937735936).

10323133300 is an abundant number, since it is smaller than the sum of its proper divisors (13552338572).

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

10323133300 is a wasteful number, since it uses less digits than its factorization.

10323133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 10323133300 its reverse (333132301), we get a palindrome (10656265601).

Subtracting from 10323133300 its reverse (333132301), we obtain a palindrome (9990000999).

The spelling of 10323133300 in words is "ten billion, three hundred twenty-three million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 53 62 83 100 106 124 155 166 212 265 310 332 415 530 620 757 775 830 1060 1325 1514 1550 1643 1660 2075 2573 2650 3028 3100 3286 3785 4150 4399 5146 5300 6572 7570 8215 8300 8798 10292 12865 15140 16430 17596 18925 21995 23467 25730 32860 37850 40121 41075 43990 46934 51460 62831 64325 75700 80242 82150 87980 93868 109975 117335 125662 128650 136369 160484 164300 200605 219950 234670 251324 257300 272738 314155 401210 439900 469340 545476 586675 628310 681845 802420 1003025 1173350 1243751 1256620 1363690 1570775 1947761 2006050 2346700 2487502 2727380 3141550 3330043 3409225 3895522 4012100 4975004 6218755 6283100 6660086 6818450 7791044 9738805 12437510 13320172 13636900 16650215 19477610 24875020 31093775 33300430 38955220 48694025 62187550 66600860 83251075 97388050 103231333 124375100 166502150 194776100 206462666 333004300 412925332 516156665 1032313330 2064626660 2580783325 5161566650 10323133300