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1020234130524 = 2232731199656273
BaseRepresentation
bin11101101100010101011…
…00010110010001011100
310121112101212111202102200
432312022230112101130
5113203414414134044
62100404502051500
7133465232011140
oct16661254262134
93545355452380
101020234130524
11363751629714
1214588a419b90
137529131a83b
1437545877220
151b812d2e369
hexed8ab1645c

1020234130524 has 144 divisors (see below), whose sum is σ = 3057711820800. Its totient is φ = 280674408960.

The previous prime is 1020234130519. The next prime is 1020234130529. The reversal of 1020234130524 is 4250314320201.

1020234130524 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 2 + 3 + 4 + 130 + 524 = 666.

1020234130524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1020234130519) and next prime (1020234130529).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020234130529) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1226452 + ... + 1882724.

Almost surely, 21020234130524 is an apocalyptic number.

1020234130524 is a gapful number since it is divisible by the number (14) 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 1020234130524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528855910400).

1020234130524 is an abundant number, since it is smaller than the sum of its proper divisors (2037477690276).

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

1020234130524 is a wasteful number, since it uses less digits than its factorization.

1020234130524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656520 (or 656515 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1020234130524 its reverse (4250314320201), we get a palindrome (5270548450725).

The spelling of 1020234130524 in words is "one trillion, twenty billion, two hundred thirty-four million, one hundred thirty thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 199 217 252 279 372 398 434 558 597 651 796 868 1116 1194 1302 1393 1791 1953 2388 2604 2786 3582 3906 4179 5572 6169 7164 7812 8358 12338 12537 16716 18507 24676 25074 37014 43183 50148 55521 74028 86366 111042 129549 172732 222084 259098 388647 518196 656273 777294 1312546 1554588 1968819 2625092 3937638 4593911 5906457 7875276 9187822 11812914 13781733 18375644 20344463 23625828 27563466 40688926 41345199 55126932 61033389 81377852 82690398 122066778 130598327 142411241 165380796 183100167 244133556 261196654 284822482 366200334 391794981 427233723 522393308 569644964 732400668 783589962 854467446 914188289 1175384943 1281701169 1567179924 1708934892 1828376578 2350769886 2563402338 2742564867 3656753156 4048548137 4701539772 5126804676 5485129734 8097096274 8227694601 10970259468 12145644411 16194192548 16455389202 24291288822 28339836959 32910778404 36436933233 48582577644 56679673918 72873866466 85019510877 113359347836 145747732932 170039021754 255058532631 340078043508 510117065262 1020234130524