Search a number
-
+
1310021012322 = 2321137739241973
BaseRepresentation
bin10011000100000011010…
…101100100101101100010
311122020101121122121211200
4103010003111210231202
5132430410334343242
62441452040422030
7163434353606631
oct23040325445542
94566347577750
101310021012322
11465638789060
12191a83477916
13966c4260a29
144759641b518
1524123a8404c
hex13103564b62

1310021012322 has 96 divisors (see below), whose sum is σ = 3184416555840. Its totient is φ = 385722725760.

The previous prime is 1310021012309. The next prime is 1310021012351. The reversal of 1310021012322 is 2232101200131.

1310021012322 is a `hidden beast` number, since 1 + 310 + 0 + 21 + 0 + 12 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1310021012295 and 1310021012304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5292928 + ... + 5534900.

It is an arithmetic number, because the mean of its divisors is an integer number (33171005790).

Almost surely, 21310021012322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310021012322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592208277920).

1310021012322 is an abundant number, since it is smaller than the sum of its proper divisors (1874395543518).

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

1310021012322 is a wasteful number, since it uses less digits than its factorization.

1310021012322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242768 (or 242765 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1310021012322 its reverse (2232101200131), we get a palindrome (3542122212453).

The spelling of 1310021012322 in words is "one trillion, three hundred ten billion, twenty-one million, twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 739 814 1221 1478 2217 2442 3663 4434 6651 7326 8129 13302 16258 24387 27343 48774 54686 73161 82029 146322 164058 241973 246087 300773 483946 492174 601546 725919 902319 1451838 1804638 2177757 2661703 2706957 4355514 5323406 5413914 7985109 8953001 15970218 17906002 23955327 26859003 47910654 53718006 80577009 98483011 161154018 178818047 196966022 295449033 357636094 536454141 590898066 886347099 1072908282 1609362423 1772694198 1966998517 3218724846 3933997034 5900995551 6616267739 11801991102 13232535478 17702986653 19848803217 35405973306 39697606434 59546409651 72778945129 119092819302 145557890258 218336835387 436673670774 655010506161 1310021012322