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10232002333100 = 2252473895999343
BaseRepresentation
bin1001010011100101001011…
…0111010100100110101100
31100020011120211112220100002
42110321102313110212230
52320120120044124400
633432303400123432
72104144361550062
oct224712267244654
940204524486302
1010232002333100
113295405629799
121193044a66578
13592b48622a72
14275335560032
1512b257bb4ed5
hex94e52dd49ac

10232002333100 has 144 divisors (see below), whose sum is σ = 22774542336000. Its totient is φ = 3988325502720.

The previous prime is 10232002333099. The next prime is 10232002333117. The reversal of 10232002333100 is 133320023201.

10232002333100 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 2×102320023331002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1095147029 + ... + 1095156371.

It is an arithmetic number, because the mean of its divisors is an integer number (158156544000).

Almost surely, 210232002333100 is an apocalyptic number.

10232002333100 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 10232002333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11387271168000).

10232002333100 is an abundant number, since it is smaller than the sum of its proper divisors (12542540002900).

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

10232002333100 is a wasteful number, since it uses less digits than its factorization.

10232002333100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10392 (or 10385 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 10232002333100 its reverse (133320023201), we get a palindrome (10365322356301).

The spelling of 10232002333100 in words is "ten trillion, two hundred thirty-two billion, two million, three hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 389 470 599 778 940 1175 1198 1556 1945 2350 2396 2995 3890 4700 5990 7780 9343 9725 11980 14975 18283 18686 19450 28153 29950 36566 37372 38900 46715 56306 59900 73132 91415 93430 112612 140765 182830 186860 233011 233575 281530 365660 439121 457075 466022 467150 563060 703825 878242 914150 932044 934300 1165055 1407650 1756484 1828300 2195605 2330110 2815300 3634427 4391210 4660220 5596457 5825275 7268854 8782420 10951517 10978025 11192914 11650550 14537708 18172135 21903034 21956050 22385828 23301100 27982285 36344270 43806068 43912100 54757585 55964570 72688540 90860675 109515170 111929140 139911425 170818069 181721350 219030340 263033479 273787925 279822850 341636138 363442700 526066958 547575850 559645700 683272276 854090345 1052133916 1095151700 1315167395 1708180690 2177021773 2630334790 3416361380 4270451725 4354043546 5260669580 6575836975 8540903450 8708087092 10885108865 13151673950 17081806900 21770217730 26303347900 43540435460 54425544325 102320023331 108851088650 204640046662 217702177300 409280093324 511600116655 1023200233310 2046400466620 2558000583275 5116001166550 10232002333100