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1023022011040 = 25561104817829
BaseRepresentation
bin11101110001100001101…
…11010001001010100000
310121210121011101202112121
432320300313101022200
5113230122113323130
62101545252034024
7133624303421521
oct16706067211240
93553534352477
101023022011040
113649522895a7
12146328002914
1375616a93593
143772bc24848
151b927972d7a
hexee30dd12a0

1023022011040 has 48 divisors (see below), whose sum is σ = 2456510663880. Its totient is φ = 402500459520.

The previous prime is 1023022011019. The next prime is 1023022011073. The reversal of 1023022011040 is 401102203201.

It can be written as a sum of positive squares in 4 ways, for example, as 565943253264 + 457078757776 = 752292^2 + 676076^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52399155 + ... + 52418674.

Almost surely, 21023022011040 is an apocalyptic number.

1023022011040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023022011040 is an abundant number, since it is smaller than the sum of its proper divisors (1433488652840).

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

1023022011040 is a wasteful number, since it uses less digits than its factorization.

1023022011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104817905 (or 104817897 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1023022011040 its reverse (401102203201), we get a palindrome (1424124214241).

The spelling of 1023022011040 in words is "one trillion, twenty-three billion, twenty-two million, eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2440 4880 9760 104817829 209635658 419271316 524089145 838542632 1048178290 1677085264 2096356580 3354170528 4192713160 6393887569 8385426320 12787775138 16770852640 25575550276 31969437845 51151100552 63938875690 102302201104 127877751380 204604402208 255755502760 511511005520 1023022011040