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1023013231300 = 225217863697303
BaseRepresentation
bin11101110001100000101…
…01110001101011000100
310121210120112212201000001
432320300111301223010
5113230112341400200
62101544335531044
7133624135663564
oct16706025615304
93553515781001
101023013231300
11364948332215
12146325089a84
137561500b278
143772a9bada4
151b926cdb76a
hexee30571ac4

1023013231300 has 72 divisors (see below), whose sum is σ = 2353250382336. Its totient is φ = 384687567360.

The previous prime is 1023013231237. The next prime is 1023013231399. The reversal of 1023013231300 is 31323103201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1118449 + ... + 1815751.

It is an arithmetic number, because the mean of its divisors is an integer number (32684033088).

Almost surely, 21023013231300 is an apocalyptic number.

1023013231300 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 1023013231300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176625191168).

1023013231300 is an abundant number, since it is smaller than the sum of its proper divisors (1330237151036).

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

1023013231300 is a wasteful number, since it uses less digits than its factorization.

1023013231300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698197 (or 698190 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 1023013231300 its reverse (31323103201), we get a palindrome (1054336334501).

The spelling of 1023013231300 in words is "one trillion, twenty-three billion, thirteen million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 863 1700 1726 3452 4315 8630 14671 17260 21575 29342 43150 58684 73355 86300 146710 293420 366775 697303 733550 1394606 1467100 2789212 3486515 6973030 11854151 13946060 17432575 23708302 34865150 47416604 59270755 69730300 118541510 237083020 296353775 592707550 601772489 1185415100 1203544978 2407089956 3008862445 6017724890 10230132313 12035449780 15044312225 20460264626 30088624450 40920529252 51150661565 60177248900 102301323130 204602646260 255753307825 511506615650 1023013231300