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1023320111010 = 235711975714271
BaseRepresentation
bin11101110010000101010…
…00011011011110100010
310121211100221022210211020
432321002220123132202
5113231224422023020
62102035021230310
7133634553265611
oct16710250333642
93554327283736
101023320111010
11364a9558550a
121463aba02396
13756637775b2
1437759661878
151b943c08c40
hexee42a1b7a2

1023320111010 has 128 divisors (see below), whose sum is σ = 2508172812288. Its totient is φ = 267144864000.

The previous prime is 1023320110979. The next prime is 1023320111173. The reversal of 1023320111010 is 101110233201.

It is a happy number.

1023320111010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239595175 + ... + 239599445.

It is an arithmetic number, because the mean of its divisors is an integer number (19595100096).

Almost surely, 21023320111010 is an apocalyptic number.

1023320111010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023320111010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254086406144).

1023320111010 is an abundant number, since it is smaller than the sum of its proper divisors (1484852701278).

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

1023320111010 is a wasteful number, since it uses less digits than its factorization.

1023320111010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5120.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1023320111010 its reverse (101110233201), we get a palindrome (1124430344211).

The spelling of 1023320111010 in words is "one trillion, twenty-three billion, three hundred twenty million, one hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 71 142 197 213 355 394 426 571 591 710 985 1065 1142 1182 1713 1970 2130 2855 2955 3426 4271 5710 5910 8542 8565 12813 13987 17130 21355 25626 27974 40541 41961 42710 64065 69935 81082 83922 112487 121623 128130 139870 202705 209805 224974 243246 303241 337461 405410 419610 562435 606482 608115 674922 841387 909723 1124870 1216230 1516205 1682774 1687305 1819446 2438741 2524161 3032410 3374610 4206935 4548615 4877482 5048322 7316223 7986577 8413870 9097230 12193705 12620805 14632446 15973154 23959731 24387410 25241610 36581115 39932885 47919462 59738477 73162230 79865770 119476954 119798655 173150611 179215431 239597310 298692385 346301222 358430862 480431977 519451833 597384770 865753055 896077155 960863954 1038903666 1441295931 1731506110 1792154310 2402159885 2597259165 2882591862 4804319770 5194518330 7206479655 14412959310 34110670367 68221340734 102332011101 170553351835 204664022202 341106703670 511660055505 1023320111010