Search a number
-
+
10232002101000 = 233535695994143
BaseRepresentation
bin1001010011100101001011…
…0110011011111100001000
31100020011120211010002221210
42110321102312123330020
52320120120014213000
633432303351133120
72104144356562311
oct224712266337410
940204524102853
1010232002101000
113295405490379
1211930449741a0
13592b48571224
142753354dd608
1512b257b6b350
hex94e52d9bf08

10232002101000 has 128 divisors (see below), whose sum is σ = 31979957068800. Its totient is φ = 2723738124800.

The previous prime is 10232002100981. The next prime is 10232002101037. The reversal of 10232002101000 is 10120023201.

10232002101000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1290072 + ... + 4704071.

It is an arithmetic number, because the mean of its divisors is an integer number (249843414600).

Almost surely, 210232002101000 is an apocalyptic number.

10232002101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10232002101000 is an abundant number, since it is smaller than the sum of its proper divisors (21747954967800).

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

10232002101000 is a wasteful number, since it uses less digits than its factorization.

10232002101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5994736 (or 5994722 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10232002101000 its reverse (10120023201), we get a palindrome (10242122124201).

The spelling of 10232002101000 in words is "ten trillion, two hundred thirty-two billion, two million, one hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 569 600 750 1000 1138 1500 1707 2276 2845 3000 3414 4552 5690 6828 8535 11380 13656 14225 17070 22760 28450 34140 42675 56900 68280 71125 85350 113800 142250 170700 213375 284500 341400 426750 569000 853500 1707000 5994143 11988286 17982429 23976572 29970715 35964858 47953144 59941430 71929716 89912145 119882860 143859432 149853575 179824290 239765720 299707150 359648580 449560725 599414300 719297160 749267875 899121450 1198828600 1498535750 1798242900 2247803625 2997071500 3410667367 3596485800 4495607250 5994143000 6821334734 8991214500 10232002101 13642669468 17053336835 17982429000 20464004202 27285338936 34106673670 40928008404 51160010505 68213347340 81856016808 85266684175 102320021010 136426694680 170533368350 204640042020 255800052525 341066736700 409280084040 426333420875 511600105050 682133473400 852666841750 1023200210100 1279000262625 1705333683500 2046400420200 2558000525250 3410667367000 5116001050500 10232002101000