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3023000133100 = 22522937179157393
BaseRepresentation
bin101011111111011000110…
…110010101110111101100
3101200222220002002002121121
4223333120312111313230
5344012101013224400
610232425212110324
7431255522106523
oct53773066256754
911628802062547
103023000133100
11a66057847142
12409a647653a4
1318c0b593780c
14a645781b4ba
155397da7d21a
hex2bfd8d95dec

3023000133100 has 144 divisors (see below), whose sum is σ = 7008502989600. Its totient is φ = 1129596088320.

The previous prime is 3023000133067. The next prime is 3023000133221. The reversal of 3023000133100 is 13310003203.

It is a super-2 number, since 2×30230001331002 (a number of 26 digits) contains 22 as substring.

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, 19128004 + ... + 19285396.

It is an arithmetic number, because the mean of its divisors is an integer number (48670159650).

Almost surely, 23023000133100 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 3023000133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3504251494800).

3023000133100 is an abundant number, since it is smaller than the sum of its proper divisors (3985502856500).

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

3023000133100 is a wasteful number, since it uses less digits than its factorization.

3023000133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157652 (or 157645 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 3023000133100 its reverse (13310003203), we get a palindrome (3036310136303).

The spelling of 3023000133100 in words is "three trillion, twenty-three billion, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 37 50 58 74 100 116 145 148 179 185 290 358 370 580 716 725 740 895 925 1073 1450 1790 1850 2146 2900 3580 3700 4292 4475 5191 5365 6623 8950 10382 10730 13246 17900 20764 21460 25955 26492 26825 33115 51910 53650 66230 103820 107300 129775 132460 157393 165575 192067 259550 314786 331150 384134 519100 629572 662300 768268 786965 960335 1573930 1920670 3147860 3841340 3934825 4564397 4801675 5823541 7869650 9128794 9603350 11647082 15739300 18257588 19206700 22821985 23294164 28173347 29117705 45643970 56346694 58235410 91287940 112693388 114109925 116470820 140866735 145588525 168882689 228219850 281733470 291177050 337765378 456439700 563466940 582354100 675530756 704333675 817027063 844413445 1042413839 1408667350 1634054126 1688826890 2084827678 2817334700 3268108252 3377653780 4085135315 4169655356 4222067225 5212069195 8170270630 8444134450 10424138390 16340541260 16888268900 20425676575 20848276780 26060345975 30230001331 40851353150 52120691950 60460002662 81702706300 104241383900 120920005324 151150006655 302300013310 604600026620 755750033275 1511500066550 3023000133100