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10023231210120 = 2333519494761811
BaseRepresentation
bin1001000111011011011100…
…1000101100001010001000
31022111012201012212000002000
42101312313020230022020
52303210034142210440
633152335302311000
72053104004360002
oct221666710541210
938435635760060
1010023231210120
113214912793027
12115a69ba28460
135792570ab6bb
142691ac605372
15125ad96c4730
hex91db722c288

10023231210120 has 128 divisors (see below), whose sum is σ = 33427920240000. Its totient is φ = 2671489693440.

The previous prime is 10023231210103. The next prime is 10023231210121. The reversal of 10023231210120 is 2101213232001.

10023231210120 is a `hidden beast` number, since 1 + 0 + 0 + 232 + 312 + 1 + 0 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10023231210093 and 10023231210102.

It is not an unprimeable number, because it can be changed into a prime (10023231210121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275986 + ... + 4485825.

It is an arithmetic number, because the mean of its divisors is an integer number (261155626875).

Almost surely, 210023231210120 is an apocalyptic number.

10023231210120 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 10023231210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16713960120000).

10023231210120 is an abundant number, since it is smaller than the sum of its proper divisors (23404689029880).

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

10023231210120 is a wasteful number, since it uses less digits than its factorization.

10023231210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4763780 (or 4763770 counting only the distinct ones).

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

Adding to 10023231210120 its reverse (2101213232001), we get a palindrome (12124444442121).

The spelling of 10023231210120 in words is "ten trillion, twenty-three billion, two hundred thirty-one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1949 3898 5847 7796 9745 11694 15592 17541 19490 23388 29235 35082 38980 46776 52623 58470 70164 77960 87705 105246 116940 140328 175410 210492 233880 263115 350820 420984 526230 701640 1052460 2104920 4761811 9523622 14285433 19047244 23809055 28570866 38094488 42856299 47618110 57141732 71427165 85712598 95236220 114283464 128568897 142854330 171425196 190472440 214281495 257137794 285708660 342850392 428562990 514275588 571417320 642844485 857125980 1028551176 1285688970 1714251960 2571377940 5142755880 9280769639 18561539278 27842308917 37123078556 46403848195 55684617834 74246157112 83526926751 92807696390 111369235668 139211544585 167053853502 185615392780 222738471336 250580780253 278423089170 334107707004 371230785560 417634633755 501161560506 556846178340 668215414008 835269267510 1002323121012 1113692356680 1252903901265 1670538535020 2004646242024 2505807802530 3341077070040 5011615605060 10023231210120