Search a number
-
+
1310322103300 = 2252737109464143
BaseRepresentation
bin10011000100010101010…
…010001001010000000100
311122021011121012122000101
4103010111102021100010
5132432014424301200
62441541554053444
7163445001052120
oct23042522112004
94567147178011
101310322103300
11465782738181
12191b4827a284
1396741751282
14475c43d6580
152414020b26a
hex13115489404

1310322103300 has 144 divisors (see below), whose sum is σ = 3368051653120. Its totient is φ = 433100183040.

The previous prime is 1310322103247. The next prime is 1310322103303. The reversal of 1310322103300 is 33012230131.

It is not an unprimeable number, because it can be changed into a prime (1310322103303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2591029 + ... + 3055171.

Almost surely, 21310322103300 is an apocalyptic number.

1310322103300 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 1310322103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684025826560).

1310322103300 is an abundant number, since it is smaller than the sum of its proper divisors (2057729549820).

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

1310322103300 is a wasteful number, since it uses less digits than its factorization.

1310322103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464310 (or 464303 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 1310322103300 its reverse (33012230131), we get a palindrome (1343334333431).

The spelling of 1310322103300 in words is "one trillion, three hundred ten billion, three hundred twenty-two million, one hundred three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 50 70 74 100 109 140 148 175 185 218 259 350 370 436 518 545 700 740 763 925 1036 1090 1295 1526 1850 2180 2590 2725 3052 3700 3815 4033 5180 5450 6475 7630 8066 10900 12950 15260 16132 19075 20165 25900 28231 38150 40330 56462 76300 80660 100825 112924 141155 201650 282310 403300 464143 564620 705775 928286 1411550 1856572 2320715 2823100 3249001 4641430 6498002 9282860 11603575 12996004 16245005 17173291 23207150 32490010 34346582 46414300 50591587 64980020 68693164 81225025 85866455 101183174 120213037 162450050 171732910 202366348 240426074 252957935 324900100 343465820 354141109 429332275 480852148 505915870 601065185 708282218 858664550 1011831740 1202130370 1264789675 1416564436 1717329100 1770705545 1871888719 2404260740 2529579350 3005325925 3541411090 3743777438 5059158700 6010651850 7082822180 7487554876 8853527725 9359443595 12021303700 13103221033 17707055450 18718887190 26206442066 35414110900 37437774380 46797217975 52412884132 65516105165 93594435950 131032210330 187188871900 262064420660 327580525825 655161051650 1310322103300