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1020231355644 = 22322315118145083
BaseRepresentation
bin11101101100010101000…
…01110000110011111100
310121112101200021210000100
432312022201300303330
5113203413211340034
62100404322401100
7133465166303124
oct16661241606374
93545350253010
101020231355644
11363750003926
12145889500190
13752908887b7
1437545353c84
151b812982099
hexed8a870cfc

1020231355644 has 144 divisors (see below), whose sum is σ = 2723893046784. Its totient is φ = 321344496000.

The previous prime is 1020231355613. The next prime is 1020231355657. The reversal of 1020231355644 is 4465531320201.

1020231355644 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 2 + 3 + 1 + 3 + 5 + 5 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1020231355599 and 1020231355608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22607527 + ... + 22652609.

It is an arithmetic number, because the mean of its divisors is an integer number (18915923936).

Almost surely, 21020231355644 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 1020231355644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361946523392).

1020231355644 is an abundant number, since it is smaller than the sum of its proper divisors (1703661691140).

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

1020231355644 is a wasteful number, since it uses less digits than its factorization.

1020231355644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45448 (or 45443 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 1020231355644 its reverse (4465531320201), we get a palindrome (5485762675845).

The spelling of 1020231355644 in words is "one trillion, twenty billion, two hundred thirty-one million, three hundred fifty-five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 151 181 207 276 302 362 414 453 543 604 724 828 906 1086 1359 1629 1812 2172 2718 3258 3473 4163 5436 6516 6946 8326 10419 12489 13892 16652 20838 24978 27331 31257 37467 41676 45083 49956 54662 62514 74934 81993 90166 109324 125028 135249 149868 163986 180332 245979 270498 327972 405747 491958 540996 628613 811494 983916 1036909 1257226 1622988 1885839 2073818 2514452 3110727 3771678 4147636 5657517 6221454 6807533 7543356 8160023 9332181 11315034 12442908 13615066 16320046 18664362 20422599 22630068 24480069 27230132 32640092 37328724 40845198 48960138 61267797 73440207 81690396 97920276 122535594 146880414 156573259 187680529 245071188 293760828 313146518 375361058 469719777 563041587 626293036 750722116 939439554 1126083174 1232163473 1409159331 1689124761 1878879108 2252166348 2464326946 2818318662 3378249522 3696490419 4928653892 5636637324 6756499044 7392980838 11089471257 14785961676 22178942514 28339759879 44357885028 56679519758 85019279637 113359039516 170038559274 255057838911 340077118548 510115677822 1020231355644