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1023102133340 = 2257113263245899
BaseRepresentation
bin11101110001101011010…
…00111010010001011100
310121210210202011101200012
432320311220322101130
5113230303121231330
62102001233222352
7133626265434320
oct16706550722134
93553722141605
101023102133340
11364993533681
1214634aa019b8
137562a567521
143773871d980
151b92e9ecc95
hexee35a3a45c

1023102133340 has 96 divisors (see below), whose sum is σ = 2486603750400. Its totient is φ = 346350283776.

The previous prime is 1023102133307. The next prime is 1023102133349. The reversal of 1023102133340 is 433312013201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023102133349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4037711 + ... + 4283609.

It is an arithmetic number, because the mean of its divisors is an integer number (25902122400).

Almost surely, 21023102133340 is an apocalyptic number.

1023102133340 is a gapful number since it is divisible by the number (10) 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 1023102133340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243301875200).

1023102133340 is an abundant number, since it is smaller than the sum of its proper divisors (1463501617060).

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

1023102133340 is a wasteful number, since it uses less digits than its factorization.

1023102133340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246291 (or 246289 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 1023102133340 its reverse (433312013201), we get a palindrome (1456414146541).

The spelling of 1023102133340 in words is "one trillion, twenty-three billion, one hundred two million, one hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 113 140 226 263 452 526 565 791 1052 1130 1315 1582 1841 2260 2630 3164 3682 3955 5260 7364 7910 9205 15820 18410 29719 36820 59438 118876 148595 208033 245899 297190 416066 491798 594380 832132 983596 1040165 1229495 1721293 2080330 2458990 3442586 4160660 4917980 6885172 8606465 17212930 27786587 34425860 55573174 64671437 111146348 129342874 138932935 194506109 258685748 277865870 323357185 389012218 452700059 555731740 646714370 778024436 905400118 972530545 1293428740 1810800236 1945061090 2263500295 3890122180 4527000590 7307872381 9054001180 14615744762 29231489524 36539361905 51155106667 73078723810 102310213334 146157447620 204620426668 255775533335 511551066670 1023102133340