Search a number
-
+
10413421420 = 2253197347499
BaseRepresentation
bin10011011001011000…
…00011001101101100
3222212201200121200211
421230230003031230
5132311313441140
64441151432204
7516024423133
oct115454031554
928781617624
1010413421420
114464117706
122027525664
13c9c54aa2c
1470b01c91a
1540e3232ea
hex26cb0336c

10413421420 has 96 divisors (see below), whose sum is σ = 22917888000. Its totient is φ = 3969976320.

The previous prime is 10413421391. The next prime is 10413421453. The reversal of 10413421420 is 2412431401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10413421391 and 10413421400.

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, 20868331 + ... + 20868829.

It is an arithmetic number, because the mean of its divisors is an integer number (238728000).

Almost surely, 210413421420 is an apocalyptic number.

10413421420 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 10413421420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11458944000).

10413421420 is an abundant number, since it is smaller than the sum of its proper divisors (12504466580).

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

10413421420 is a wasteful number, since it uses less digits than its factorization.

10413421420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10413421420 its reverse (2412431401), we get a palindrome (12825852821).

The spelling of 10413421420 in words is "ten billion, four hundred thirteen million, four hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 97 124 155 194 310 347 388 485 499 620 694 970 998 1388 1735 1940 1996 2495 3007 3470 4990 6014 6940 9980 10757 12028 15035 15469 21514 30070 30938 33659 43028 48403 53785 60140 61876 67318 77345 96806 107570 134636 154690 168295 173153 193612 215140 242015 309380 336590 346306 484030 673180 692612 865765 968060 1043429 1500493 1731530 2086858 3000986 3463060 4173716 5217145 5367743 6001972 7502465 10434290 10735486 15004930 16795841 20868580 21470972 26838715 30009860 33591682 53677430 67183364 83979205 107354860 167958410 335916820 520671071 1041342142 2082684284 2603355355 5206710710 10413421420