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1013223220440 = 233583101729239
BaseRepresentation
bin11101011111010001100…
…11110110010011011000
310120212022021020121211020
432233220303312103120
5113100040121023230
62053245054002440
7133126421162064
oct16575063662330
93525267217736
101013223220440
11360784103152
121444524a6420
1374714994a32
143707c6baaa4
151b5525ac810
hexebe8cf64d8

1013223220440 has 64 divisors (see below), whose sum is σ = 3076292217600. Its totient is φ = 266937520512.

The previous prime is 1013223220421. The next prime is 1013223220441. The reversal of 1013223220440 is 440223223101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1013223220440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013223220441) 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, 50854660 + ... + 50874579.

It is an arithmetic number, because the mean of its divisors is an integer number (48067065900).

Almost surely, 21013223220440 is an apocalyptic number.

1013223220440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013223220440 is an abundant number, since it is smaller than the sum of its proper divisors (2063068997160).

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

1013223220440 is a wasteful number, since it uses less digits than its factorization.

1013223220440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101729336 (or 101729332 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1013223220440 its reverse (440223223101), we get a palindrome (1453446443541).

The spelling of 1013223220440 in words is "one trillion, thirteen billion, two hundred twenty-three million, two hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4980 9960 101729239 203458478 305187717 406916956 508646195 610375434 813833912 1017292390 1220750868 1525938585 2034584780 2441501736 3051877170 4069169560 6103754340 8443526837 12207508680 16887053674 25330580511 33774107348 42217634185 50661161022 67548214696 84435268370 101322322044 126652902555 168870536740 202644644088 253305805110 337741073480 506611610220 1013223220440