Search a number
-
+
10331320122320 = 245793594553489
BaseRepresentation
bin1001011001010111001010…
…1010100111101111010000
31100120122221110111100022212
42112111302222213233100
52323232020422403240
633550050513051252
72114261513044631
oct226256252475720
940518843440285
1010331320122320
11332354096582a
1211aa342256b28
1359c3159b1192
1427a077b57888
1512db1c093165
hex96572aa7bd0

10331320122320 has 80 divisors (see below), whose sum is σ = 24392135232000. Its totient is φ = 4068851165184.

The previous prime is 10331320122311. The next prime is 10331320122329. The reversal of 10331320122320 is 2322102313301.

It is an interprime number because it is at equal distance from previous prime (10331320122311) and next prime (10331320122329).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10331320122329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7865 + ... + 4545624.

It is an arithmetic number, because the mean of its divisors is an integer number (304901690400).

Almost surely, 210331320122320 is an apocalyptic number.

10331320122320 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 10331320122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12196067616000).

10331320122320 is an abundant number, since it is smaller than the sum of its proper divisors (14060815109680).

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

10331320122320 is a wasteful number, since it uses less digits than its factorization.

10331320122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4553940 (or 4553934 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 10331320122320 its reverse (2322102313301), we get a palindrome (12653422435621).

The spelling of 10331320122320 in words is "ten trillion, three hundred thirty-one billion, three hundred twenty million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 359 395 632 718 790 1264 1436 1580 1795 2872 3160 3590 5744 6320 7180 14360 28361 28720 56722 113444 141805 226888 283610 453776 567220 1134440 2268880 4553489 9106978 18213956 22767445 36427912 45534890 72855824 91069780 182139560 359725631 364279120 719451262 1438902524 1634702551 1798628155 2877805048 3269405102 3597256310 5755610096 6538810204 7194512620 8173512755 13077620408 14389025240 16347025510 26155240816 28778050480 32694051020 65388102040 129141501529 130776204080 258283003058 516566006116 645707507645 1033132012232 1291415015290 2066264024464 2582830030580 5165660061160 10331320122320