Search a number
-
+
10232232011320 = 2351125873601529
BaseRepresentation
bin1001010011100110000010…
…0011011110011000111000
31100020012011211201202121211
42110321200203132120320
52320121102343330240
633432342243012504
72104153151022634
oct224714043363070
940205154652554
1010232232011320
113295513242400
1211930a996a134
13592b8409b737
14275357c69dc4
1512b26ce32bea
hex94e608de638

10232232011320 has 96 divisors (see below), whose sum is σ = 25348864690800. Its totient is φ = 3714471918080.

The previous prime is 10232232011311. The next prime is 10232232011359. The reversal of 10232232011320 is 2311023223201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10232232011291 and 10232232011300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1040316 + ... + 4641844.

Almost surely, 210232232011320 is an apocalyptic number.

10232232011320 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 10232232011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12674432345400).

10232232011320 is an abundant number, since it is smaller than the sum of its proper divisors (15116632679480).

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

10232232011320 is a wasteful number, since it uses less digits than its factorization.

10232232011320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3602149 (or 3602134 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 10232232011320 its reverse (2311023223201), we get a palindrome (12543255234521).

The spelling of 10232232011320 in words is "ten trillion, two hundred thirty-two billion, two hundred thirty-two million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 587 605 968 1174 1210 2348 2420 2935 4696 4840 5870 6457 11740 12914 23480 25828 32285 51656 64570 71027 129140 142054 258280 284108 355135 568216 710270 1420540 2841080 3601529 7203058 14406116 18007645 28812232 36015290 39616819 72030580 79233638 144061160 158467276 198084095 316934552 396168190 435785009 792336380 871570018 1584672760 1743140036 2114097523 2178925045 3486280072 4228195046 4357850090 8456390092 8715700180 10570487615 16912780184 17431400360 21140975230 23255072753 42281950460 46510145506 84563900920 93020291012 116275363765 186040582024 232550727530 255805800283 465101455060 511611600566 930202910120 1023223201132 1279029001415 2046446402264 2558058002830 5116116005660 10232232011320