Search a number
-
+
10321132120 = 23513193113359
BaseRepresentation
bin10011001110010111…
…11111101001011000
3222122022000211120121
421213023333221120
5132114202211440
64424053403024
7513524114125
oct114713775130
928568024517
1010321132120
114417012362
122000639474
13c863a6a90
146dca7774c
1540619334a
hex2672ffa58

10321132120 has 128 divisors (see below), whose sum is σ = 26417664000. Its totient is φ = 3597626880.

The previous prime is 10321132109. The next prime is 10321132121. The reversal of 10321132120 is 2123112301.

It is a junction number, because it is equal to n+sod(n) for n = 10321132094 and 10321132103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10321132121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3071001 + ... + 3074359.

It is an arithmetic number, because the mean of its divisors is an integer number (206388000).

Almost surely, 210321132120 is an apocalyptic number.

10321132120 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 10321132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208832000).

10321132120 is an abundant number, since it is smaller than the sum of its proper divisors (16096531880).

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

10321132120 is a wasteful number, since it uses less digits than its factorization.

10321132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3713 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10321132120 its reverse (2123112301), we get a palindrome (12444244421).

The spelling of 10321132120 in words is "ten billion, three hundred twenty-one million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 311 380 494 520 622 760 988 1235 1244 1555 1976 2470 2488 3110 3359 4043 4940 5909 6220 6718 8086 9880 11818 12440 13436 16172 16795 20215 23636 26872 29545 32344 33590 40430 43667 47272 59090 63821 67180 76817 80860 87334 118180 127642 134360 153634 161720 174668 218335 236360 255284 307268 319105 349336 384085 436670 510568 614536 638210 768170 829673 873340 1044649 1276420 1536340 1659346 1746680 2089298 2552840 3072680 3318692 4148365 4178596 5223245 6637384 8296730 8357192 10446490 13580437 16593460 19848331 20892980 27160874 33186920 39696662 41785960 54321748 67902185 79393324 99241655 108643496 135804370 158786648 198483310 258028303 271608740 396966620 516056606 543217480 793933240 1032113212 1290141515 2064226424 2580283030 5160566060 10321132120