Search a number
-
+
10421312221044 = 2232419809853999
BaseRepresentation
bin1001011110100110011010…
…0111001110111101110100
31100220021020011111121221100
42113221212213032331310
52331220321412033134
634055252412050100
72123625555212454
oct227514647167564
940807204447840
1010421312221044
11335872107a53a
121203878463930
135a7957c97c3a
14280573999d64
151311378ad999
hex97a669cef74

10421312221044 has 72 divisors (see below), whose sum is σ = 26438302800000. Its totient is φ = 3461192406144.

The previous prime is 10421312221037. The next prime is 10421312221049. The reversal of 10421312221044 is 44012221312401.

10421312221044 is a `hidden beast` number, since 1 + 0 + 421 + 3 + 1 + 22 + 210 + 4 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10421312220999 and 10421312221017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10421312221049) 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, 11775957 + ... + 12629955.

It is an arithmetic number, because the mean of its divisors is an integer number (367198650000).

Almost surely, 210421312221044 is an apocalyptic number.

It is an amenable number.

10421312221044 is an abundant number, since it is smaller than the sum of its proper divisors (16016990578956).

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

10421312221044 is a wasteful number, since it uses less digits than its factorization.

10421312221044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855237 (or 855232 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10421312221044 its reverse (44012221312401), we get a palindrome (54433533533445).

The spelling of 10421312221044 in words is "ten trillion, four hundred twenty-one billion, three hundred twelve million, two hundred twenty-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 419 809 838 1257 1618 1676 2427 2514 3236 3771 4854 5028 7281 7542 9708 14562 15084 29124 338971 677942 853999 1016913 1355884 1707998 2033826 2561997 3050739 3415996 4067652 5123994 6101478 7685991 10247988 12202956 15371982 30743964 357825581 690885191 715651162 1073476743 1381770382 1431302324 2072655573 2146953486 2763540764 3220430229 4145311146 4293906972 6217966719 6440860458 8290622292 12435933438 12881720916 24871866876 289480895029 578961790058 868442685087 1157923580116 1736885370174 2605328055261 3473770740348 5210656110522 10421312221044