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1023120213200 = 245228174312251
BaseRepresentation
bin11101110001101101011…
…01111000010011010000
310121210212000011221120122
432320312231320103100
5113230322233310300
62102003120525412
7133626605215301
oct16706655702320
93553760157518
101023120213200
113649a2762308
12146354a80868
1375631227977
143773aca87a8
151b9313bec85
hexee36b784d0

1023120213200 has 120 divisors (see below), whose sum is σ = 2470315478976. Its totient is φ = 407209600000.

The previous prime is 1023120213197. The next prime is 1023120213209. The reversal of 1023120213200 is 23120213201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023120213209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83507075 + ... + 83519325.

Almost surely, 21023120213200 is an apocalyptic number.

1023120213200 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 1023120213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235157739488).

1023120213200 is an abundant number, since it is smaller than the sum of its proper divisors (1447195265776).

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

1023120213200 is a wasteful number, since it uses less digits than its factorization.

1023120213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13293 (or 13282 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1023120213200 its reverse (23120213201), we get a palindrome (1046240426401).

Subtracting from 1023120213200 its reverse (23120213201), we obtain a palindrome (999999999999).

The spelling of 1023120213200 in words is "one trillion, twenty-three billion, one hundred twenty million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 281 400 562 743 1124 1405 1486 2248 2810 2972 3715 4496 5620 5944 7025 7430 11240 11888 12251 14050 14860 18575 22480 24502 28100 29720 37150 49004 56200 59440 61255 74300 98008 112400 122510 148600 196016 208783 245020 297200 306275 417566 490040 612550 835132 980080 1043915 1225100 1670264 2087830 2450200 3340528 3442531 4175660 4900400 5219575 6885062 8351320 9102493 10439150 13770124 16702640 17212655 18204986 20878300 27540248 34425310 36409972 41756600 45512465 55080496 68850620 72819944 83513200 86063275 91024930 137701240 145639888 172126550 182049860 227562325 275402480 344253100 364099720 455124650 688506200 728199440 910249300 1377012400 1820498600 2557800533 3640997200 5115601066 10231202132 12789002665 20462404264 25578005330 40924808528 51156010660 63945013325 102312021320 127890026650 204624042640 255780053300 511560106600 1023120213200