Search a number
-
+
10321023400 = 2352435920341
BaseRepresentation
bin10011001110010111…
…00101000110101000
3222122021211022102221
421213023211012220
5132114140222100
64424051203424
7513523152142
oct114713450650
928567738387
1010321023400
114416a48706
1220005a6574
13c8636944c
146dca49c92
1540617101a
hex2672e51a8

10321023400 has 96 divisors (see below), whose sum is σ = 24971839200. Its totient is φ = 3963859200.

The previous prime is 10321023397. The next prime is 10321023407. The reversal of 10321023400 is 432012301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10321023407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 497230 + ... + 517570.

It is an arithmetic number, because the mean of its divisors is an integer number (260123325).

Almost surely, 210321023400 is an apocalyptic number.

10321023400 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 10321023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12485919600).

10321023400 is an abundant number, since it is smaller than the sum of its proper divisors (14650815800).

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

10321023400 is a wasteful number, since it uses less digits than its factorization.

10321023400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20459 (or 20450 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10321023400 its reverse (432012301), we get a palindrome (10753035701).

The spelling of 10321023400 in words is "ten billion, three hundred twenty-one million, twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 59 86 100 118 172 200 215 236 295 344 430 472 590 860 1075 1180 1475 1720 2150 2360 2537 2950 4300 5074 5900 8600 10148 11800 12685 20296 20341 25370 40682 50740 63425 81364 101480 101705 126850 162728 203410 253700 406820 507400 508525 813640 874663 1017050 1200119 1749326 2034100 2400238 3498652 4068200 4373315 4800476 6000595 6997304 8746630 9600952 12001190 17493260 21866575 24002380 30002975 34986520 43733150 48004760 51605117 60005950 87466300 103210234 120011900 174932600 206420468 240023800 258025585 412840936 516051170 1032102340 1290127925 2064204680 2580255850 5160511700 10321023400