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1023250124424 = 2331133155721023
BaseRepresentation
bin11101110001111100111…
…01011100111010001000
310121211012001122010021110
432320332131130322020
5113231104012440144
62102024041210320
7133633043356233
oct16707635347210
93554161563243
101023250124424
11364a5a023560
121463904909a0
1375652111c08
143775024441a
151b93c9d20b9
hexee3e75ce88

1023250124424 has 128 divisors (see below), whose sum is σ = 2804271943680. Its totient is φ = 308569324800.

The previous prime is 1023250124423. The next prime is 1023250124443. The reversal of 1023250124424 is 4244210523201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1023250124391 and 1023250124400.

It is not an unprimeable number, because it can be changed into a prime (1023250124423) 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 31 ways as a sum of consecutive naturals, for example, 48662377 + ... + 48683399.

It is an arithmetic number, because the mean of its divisors is an integer number (21908374560).

Almost surely, 21023250124424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023250124424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402135971840).

1023250124424 is an abundant number, since it is smaller than the sum of its proper divisors (1781021819256).

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

1023250124424 is a wasteful number, since it uses less digits than its factorization.

1023250124424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21931 (or 21927 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 1023250124424 its reverse (4244210523201), we get a palindrome (5267460647625).

The spelling of 1023250124424 in words is "one trillion, twenty-three billion, two hundred fifty million, one hundred twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 331 557 662 993 1114 1324 1671 1986 2228 2648 3342 3641 3972 4456 6127 6684 7282 7944 10923 12254 13368 14564 18381 21023 21846 24508 29128 36762 42046 43692 49016 63069 73524 84092 87384 126138 147048 168184 184367 231253 252276 368734 462506 504552 553101 693759 737468 925012 1106202 1387518 1474936 1850024 2028037 2212404 2775036 4056074 4424808 5550072 6084111 6958613 8112148 11709811 12168222 13917226 16224296 20875839 23419622 24336444 27834452 35129433 41751678 46839244 48672888 55668904 70258866 76544743 83503356 93678488 128807921 140517732 153089486 167006712 229634229 257615842 281035464 306178972 386423763 459268458 515231684 612357944 772847526 918536916 1030463368 1545695052 1837073832 3091390104 3875947441 7751894882 11627842323 15503789764 23255684646 31007579528 42635421851 46511369292 85270843702 93022738584 127906265553 170541687404 255812531106 341083374808 511625062212 1023250124424